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An Apps4Android STEM Video Tutorial Project
Khan Academy Video Tutorials: Table of Contents
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Topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen algebra before. Once you get your feet wet, you may want to try some of the videos in the "Algebra I Worked Examples" playlist.
2. Equations 2
3. Equations 3
4. Algebra: Linear Equations 4
5. Algebra: Solving Inequalities
9. Algebra: Equation of a line
10. Slope and Y-intercept Intuition
11. Averages
12. Integer sums
15. Another Percent Word Problem
18. Introduction to Ratios (new HD version)
19. Ratio problem with basic algebra (new HD)
20. More advanced ratio problem--with Algebra (HD version)
21. Alternate Solution to Ratio Problem (HD Version)
27. Level 1 multiplying expressions
28. Solving a quadratic by factoring
29. Introduction to i and Imaginary Numbers
30. Calculating i Raised to Arbitrary Exponents
31. i as the Principal Root of -1 (a little technical)
34. Introduction to the quadratic equation
39. Quadratic Inequalities (Visual Explanation)
41. Functions Part 2
45. Proof: log a + log b = log ab
46. Proof: A(log B) = log (B^A), log A - log B = log (A/B)
47. Proof: log_a (B) = (log_x (B))/(log_x (A))
49. Introduction to Conic Sections
50. Conic Sections: Intro to Circles
51. Conic Sections: Intro to Ellipses
52. Conic Sections: Intro to Hyperbolas
53. Conic Sections: Hyperbolas 2
54. Conic Sections: Hyperbolas 3
61. Partial Fraction Expansion 1
62. Partial Fraction Expansion 2
63. Partial Fraction Expansion 3
64. Parabola Focus and Directrix 1
65. Focus and Directrix of a Parabola 2
66. Two Passing Bicycles Word Problem
68. Passing Trains
74. Interesting Polynomial Coefficient Problem
75. Geometric series sum to figure out mortgage payments
76. Introduction to Function Inverses
77. Function Inverse Example 1
78. Function Inverses Example 2
79. Function Inverses Example 3
80. Direct and Inverse Variation
81. Recognizing Direct and Inverse Variation
82. Recognizing Odd and Even Functions
83. Connection between even and odd numbers and functions
86. Alternate Proof to Induction for Integer Sum
180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the "Algebra" playlist if you've never seen algebra before or if you want instruction on topics in Algebra II. Use this playlist to see a ton of example problems in every topic in the California Algebra I Standards. If you can do all of these problems on your own, you should probably test out of Algebra I (seriously).
3. Solving Equations with the Distributive Property
4. Solving equations with the distributive property 2
6. Sum of Consecutive Odd Integers
7. Example of Solving for a Variable
10. Absolute Value and Number Lines
11. Absolute Value Equations 1
12. Absolute Value Equation Example 2
15. Equations of Sequence Patterns
16. Finding the 100th Term in a Sequence
17. Functional Relationships 1
18. Testing if a relationship is a function
24. Exploring linear relationships
25. Recognizing Linear Functions
26. Exploring nonlinear relationships
27. Slope of a line
28. Slope Example
31. Graphing a line in slope intercept form
33. Converting to slope-intercept form
34. Point-slope and standard form
35. Parallel Lines
36. Parallel Lines 2
37. Parallel lines 3
42. Inequalities
43. Absolute value inequalities
45. Absolute value inequalities 3
46. Writing and using inequalities
47. Writing and using inequalities 2
48. Writing and using inequalities 3
49. Solving and graphing linear inequalities in two variables
50. Graphing linear inequalities in two variables
51. Graphing linear inequalities in two variables
52. Solving systems by graphing
53. Solving systems by graphing 2
54. Solving systems by graphing 3
55. Solving systems by substitution 1
56. Solving systems by substitution 2
57. Solving systems by substitution 3
58. Solving systems by elimination
59. Solving systems by elimination 2
60. Solving systems by elimination 3
62. Systems and rate problems 2
63. Systems and rate problems 3
67. Graphing systems of inequalities
68. Graphing systems of inequalities 2
69. Graphing systems of inequalities 3
70. Exponent Rules 1
71. Exponent Rules 2
72. Exponent Rules 3
76. Simplifying Expressions with Exponents
77. Simplifying Expressions with Exponents 2
78. Simplifying Expressions with Exponents 3
82. Simplifying Radical Expressions1
83. Simplifying Radical Expressions 2
84. Simplifying Radical Expressions 3
85. Solving Radical Equations 1
86. Solving Radical Equations 2
87. Solving Radical Equations 3
88. Applying Radical Equations 1
89. Applying Radical Equations 2
90. Applying Radical Equations 3
91. Fractional Exponent Expressions 1
92. Fractional Exponent Expressions 2
93. Fractional Exponent Expressions 3
94. Multiplying and Dividing Monomials 1
95. Multiplying and Dividing Monomials 2
96. Multiplying and Dividing Monomials 3
97. Polynomials1
98. Polynomials 2
99. Adding and Subtracting Polynomials 1
100. Adding and Subtracting Polynomials 2
101. Adding and Subtracting Polynomials 3
103. Multiplying Polynomials 2
104. Multiplying Polynomials 3
105. Special Products of Polynomials 1
106. Special Products of Polynomials 2
107. U08_L2_T4_we3 Special Products of Polynomials 3
108. Bay Area CBS Station with Salman Khan
109. Factoring and the Distributive Property
110. Factoring and the Distributive Property 2
111. Factoring and the Distributive Property 3
112. Factoring Trinomials by Grouping 1
113. Factoring Trinomials by Grouping 2
114. U09_L1_T2_we3 Factoring Trinomials by Grouping 3
115. Factoring Trinomials by Grouping 4
116. Factoring Trinomials by Grouping 5
117. Factoring Trinomials by Grouping 6
118. U09_L2_T1_we1 Factoring Special Products 1
119. Factoring Special Products 2
120. U09_L2_T1_we3 Factoring Special Products 3
121. Solving Quadratic Equations by Factoring.avi
122. Solving Quadratic Equations by Factoring 2.avi
123. Solving Quadratic Equations by Factoring 3.avi
131. Quadratic Formula 1
132. Quadratic Formula 2
133. Quadratic Formula 3
134. Applying Quadratic Functions 1
135. Applying Quadratic Functions 2
136. Applying Quadratic Functions 3
137. Non-Linear Systems of Equations 1
138. Non-Linear Systems of Equations 2
139. Non-Linear Systems of Equations 3
140. Simplifying Rational Expressions 1
141. Simplifying Rational Expressions 2
142. Simplifying Rational Expressions 3
143. Multiplying and Dividing Rational Expressions 1
144. Multiplying and Dividing Rational Expressions 2
145. Multiplying and Dividing Rational Expressions 3
146. Adding and Subtracting Rational Expressions 1
147. Adding and Subtracting Rational Expressions 2
148. Adding and Subtracting Rational Expressions 3
149. Solving Rational Equations 1
150. Solving Rational Equations 2
151. Solving Rational Equations 3
152. Applying Rational Equations 1
153. Applying Rational Equations 2
154. Applying Rational Equations 3
155. Number Sets 1
156. Number Sets 2
157. Number Sets 3
158. Understanding Logical Statements 1
159. Understanding Logical Statements 2
160. Understanding Logical Statements 3
161. Understanding Logical Statements 4
162. Understanding Logical Statements Commentary
163. U12_L1_T3_we1 Inductive Reasoning 1
172. U12_L2_T2_we1 Independent Events 1
173. Independent Events 2
174. Independent Events 3
175. Permutations and Combinations 1
176. Permutations and Combinations 2
177. Permutations and Combinations 3
178. Permutations and Combinations 4
179. Probability of Dependent Events
180. Probability of Dependent Events 2
181. U02_L2_T2_we1 Absolute Value Equations.avi
182. U06_L3_T1_we3 Graphing Systems of Inequalities
183. U06_L1_T1_we1 Solving Systems by Graphing
184. U05_L2_T1_WE2 Graphing Linear Inequalities in Two Variables
185. U03_L2_T1_we2 Representing Functions as Graphs
186. U03_L1_T1_we2 Inductive Patterns
The most basic of the math playlists. Start here if you have very little background in math fundamentals (or just want to make sure you do). After watching this playlist, you should be ready for the pre-algebra playlist.
2. Addition 2
4. Addition 3
5. Addition 4
8. Subtraction 3: Introduction to Borrowing or Regrouping
9. Alternate mental subtraction method
15. Multiplication 2: The Multiplication Tables
16. Multiplication 3: 10,11,12 times tables
17. Multiplication 4: 2-digit times 1-digit number
18. Multiplication 5: 2-digit times a 2-digit number
19. Multiplication 6: Multiple Digit Numbers
20. Multiplication 7: Old video giving more examples
21. Mulitplication 8: Multiplying decimals (Old video)
23. Why Lattice Multiplication Works
24. Division 1
25. Division 2
26. Division 3: More long division and remainder examples
27. Level 4 division
28. Converting fractions to decimals
30. Dividing decimal
31. Ordering Numeric Expressions
35. Mixed numbers and improper fractions
37. Time Differences in Different Time Zones
38. Prime Numbers
Videos on how banks work and how money is created.
1. Banking 1
2. Banking 2: A bank's income statement
3. Banking 3: Fractional Reserve Banking
4. Banking 4: Multiplier effect and the money supply
5. Banking 5: Introduction to Bank Notes
6. Banking 6: Bank Notes and Checks
7. Banking 7: Giving out loans without giving out gold
9. Banking 9: More on Reserve Ratios (Bad sound)
10. Banking 10: Introduction to leverage (bad sound)
11. Banking 11: A reserve bank
12. Banking 12: Treasuries (government debt)
13. Banking 13: Open Market Operations
14. Banking 14: Fed Funds Rate
15. Banking 15: More on the Fed Funds Rate
16. Banking 16: Why target rates vs. money supply
17. Banking 17: What happened to the gold?
18. Banking 18: Big Picture Discussion
20. Repurchase Agreements (Repo transactions)
21. Federal Reserve Balance Sheet
22. Fractional Reserve Banking Commentary 1
23. FRB Commentary 2: Deposit Insurance
24. FRB Commentary 3: Big Picture
25. LIBOR
Covers topics seen in a first year college or high school biology course.
1. Introduction to Evolution and Natural Selection
3. Intelligent Design and Evolution
5. Natural Selection and the Owl Butterfly
6. DNA
8. Chromosomes, Chromatids, Chromatin, etc.
9. Mitosis, Meiosis and Sexual Reproduction
13. Cancer
18. Bacteria
19. Viruses
20. ATP: Adenosine Triphosphate
21. Introduction to Cellular Respiration
22. Oxidation and Reduction Review From Biological Point-of-View
23. Oxidation and Reduction in Cellular Respiration
24. Glycolysis
27. Oxidative Phosphorylation and Chemiosmosis
28. Photosynthesis
29. Photosynthesis: Light Reactions 1
30. Photosynthesis: Light Reactions and Photophosphorylation
31. Photosynthesis: Calvin Cycle
32. Photorespiration
34. CAM Plants
35. Parts of a cell
37. The Lungs and Pulmonary System
38. Red blood cells
39. Circulatory System and the Heart
40. Hemoglobin
43. Correction to Sodium and Potassium Pump Video
44. Electrotonic and Action Potentials
45. Saltatory Conduction in Neurons
46. Neuronal Synapses (Chemical)
47. Myosin and Actin
48. Tropomyosin and troponin and their role in regulating muscle contraction
49. Role of the Sarcoplasmic Reticulum in Muscle Cells
51. Role of Phagocytes in Innate or Nonspecific Immunity
52. Types of immune responses: Innate and Adaptive. Humoral vs. Cell-Mediated
54. Professional Antigen Presenting Cells (APC) and MHC II complexes
55. Helper T Cells
57. Review of B cells, CD4+ T cells and CD8+ T cells
60. Secondary Active Transport in the Nephron
61. Glucose Insulin and Diabetes
63. Glucose Concentration Conversion
64. A1C Levels
65. Heart Disease and Heart Attacks
66. Thrombo-emboli and Thromboembolisms
67. Stenosis, ischemia and heart failure
68. Strokes
70. Hyperplasia in Colon Tissue
71. Colon Dysplasia
73. Adequacy of the Lateral Cervical Spine X-Ray
74. Assessing Alignment of the Lateral Cervical Spine (neck) X-Ray
75. Cervical Spine Protection in Airway Management (not a substitute for formal training)
76. Intro to the Endocrine System
Random logic puzzles and brain teasers. Fun to do and useful for many job interviews!
1. Liar Truthteller Brain Teaser
3. Alien Abduction Brain Teaser
4. Brain Teaser: Blue Forehead Room
5. Blue Forehead Room Solution
6. Forehead Numbers Brain Teaser
7. Light Bulb Switching Brain Teaser
9. 3-D Path Counting Brain Teaser
Sal working through the 53 problems from the practice test available at http://www.cde.ca.gov/ta/tg/hs/documents/mathpractest.pdf for the CAHSEE (California High School Exit Examination). Clearly useful if you're looking to take that exam. Probably still useful if you want to make sure you have a solid understanding of basic high school math.
1. CAHSEE Practice: Problems 1-3
2. CAHSEE Practice: Problems 4-9
3. CAHSEE Practice: Problems 10-12
4. CAHSEE Practice: Problems 13-14
5. CAHSEE Practice: Problems 15-16
6. CAHSEE Practice: Problems 17-19
7. CAHSEE Practice: Problems 20-22
8. CAHSEE Practice: Problems 23-27
9. CAHSEE Practice: Problems 28-31
10. CAHSEE Practice: Problems 32-34
11. CAHSEE Practice: Problems 35-37
12. CAHSEE Practice: Problems 38-42
13. CAHSEE Practice: Problems 43-46
14. CAHSEE Practice: Problems 47-51
15. CAHSEE Practice: Problems 52-53
Topics covered in the first two or three semesters of college calculus. Everything from limits to derivatives to integrals to vector calculus. Should understand the topics in the pre-calculus playlist first (the limit videos are in both playlists)
1. Introduction to Limits (HD)
6. Limit Examples w/ brain malfunction on first prob (part 4)
9. More Limits
10. Epsilon Delta Limit Definition 1
11. Epsilon Delta Limit Definition 2
12. Calculus: Derivatives 1 (new HD version)
13. Calculus: Derivatives 2 (new HD version)
14. Calculus: Derivatives 2.5 (new HD version)
18. The Chain Rule
21. Product Rule
22. Quotient Rule
24. Proof: d/dx(x^n)
28. Proofs of Derivatives of Ln(x) and e^x
29. Extreme Derivative Word Problem (advanced)
31. Implicit Differentiation (part 2)
32. More implicit differentiation
33. More chain rule and implicit differentiation intuition
34. Trig Implicit Differentiation Example
35. Calculus: Derivative of x^(x^x)
36. Introduction to L'Hopital's Rule
37. L'Hopital's Rule Example 1
38. L'Hopital's Rule Example 2
39. L'Hopital's Rule Example 3
40. Maxima Minima Slope Intuition
41. Inflection Points and Concavity Intuition
43. Calculus: Maximum and minimum values on an interval
44. Calculus: Graphing Using Derivatives
45. Calculus Graphing with Derivatives Example
47. Optimization with Calculus 1
48. Optimization with Calculus 2
49. Optimization with Calculus 3
51. Introduction to rate-of-change problems
52. Equation of a tangent line
54. Ladder rate-of-change problem
56. The Indefinite Integral or Anti-derivative
57. Indefinite integrals (part II)
58. Indefinite Integration (part III)
59. Indefinite Integration (part IV)
60. Indefinite Integration (part V)
61. Integration by Parts (part 6 of Indefinite Integration)
62. Indefinite Integration (part 7)
63. Another u-subsitution example
64. Introduction to definite integrals
65. Definite integrals (part II)
66. Definite Integrals (area under a curve) (part III)
67. Definite Integrals (part 4)
68. Definite Integrals (part 5)
69. Definite integral with substitution
70. Integrals: Trig Substitution 1
71. Integrals: Trig Substitution 2
72. Integrals: Trig Substitution 3 (long problem)
73. Periodic Definite Integral
74. Introduction to differential equations
75. Solid of Revolution (part 1)
76. Solid of Revolution (part 2)
77. Solid of Revolution (part 3)
78. Solid of Revolution (part 4)
79. Solid of Revolution (part 5)
80. Solid of Revolution (part 6)
81. Solid of Revolution (part 7)
82. Solid of Revolution (part 8)
83. Sequences and Series (part 1)
84. Sequences and series (part 2)
85. Maclauren and Taylor Series Intuition
86. Cosine Taylor Series at 0 (Maclaurin)
87. Sine Taylor Series at 0 (Maclaurin)
88. Taylor Series at 0 (Maclaurin) for e to the x
89. Euler's Formula and Euler's Identity
90. Visualizing Taylor Series Approximations
91. Generalized Taylor Series Approximation
92. Visualizing Taylor Series for e^x
93. Polynomial approximation of functions (part 1)
94. Polynomial approximation of functions (part 2)
95. Approximating functions with polynomials (part 3)
96. Polynomial approximation of functions (part 4)
97. Polynomial approximations of functions (part 5)
98. Polynomial approximation of functions (part 6)
99. Polynomial approximation of functions (part 7)
100. Taylor Polynomials
101. Exponential Growth
102. AP Calculus BC Exams: 2008 1 a
103. AP Calculus BC Exams: 2008 1 b&c
104. AP Calculus BC Exams: 2008 1 c&d
105. AP Calculus BC Exams: 2008 1 d
106. Calculus BC 2008 2 a
108. Calculus BC 2008 2d
109. Partial Derivatives
111. Gradient 1
112. Gradient of a scalar field
113. Divergence 1
114. Divergence 2
115. Divergence 3
116. Curl 1
117. Curl 2
118. Curl 3
119. Double Integral 1
120. Double Integrals 2
121. Double Integrals 3
122. Double Integrals 4
123. Double Integrals 5
124. Double Integrals 6
125. Triple Integrals 1
126. Triple Integrals 2
127. Triple Integrals 3
128. (2^ln x)/x Antiderivative Example
129. Introduction to the Line Integral
131. Line Integral Example 2 (part 1)
132. Line Integral Example 2 (part 2)
133. Position Vector Valued Functions
134. Derivative of a position vector valued function
135. Differential of a vector valued function
136. Vector valued function derivative example
137. Line Integrals and Vector Fields
138. Using a line integral to find the work done by a vector field example
139. Parametrization of a Reverse Path
140. Scalar Field Line Integral Independent of Path Direction
141. Vector Field Line Integrals Dependent on Path Direction
142. Path Independence for Line Integrals
143. Closed Curve Line Integrals of Conservative Vector Fields
144. Example of Closed Line Integral of Conservative Field
145. Second Example of Line Integral of Conservative Vector Field
146. Green's Theorem Proof Part 1
147. Green's Theorem Proof (part 2)
148. Green's Theorem Example 1
149. Green's Theorem Example 2
150. Introduction to Parametrizing a Surface with Two Parameters
151. Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
152. Partial Derivatives of Vector-Valued Functions
153. Introduction to the Surface Integral
154. Example of calculating a surface integral part 1
155. Example of calculating a surface integral part 2
156. Example of calculating a surface integral part 3
California Standards Test: Algebra I
Sal works through the problems from the CA Standards released questions: http://www.cde.ca.gov/ta/tg/sr/documents/rtqalg1.pdf . Good videos to review Algebra I (The "Algebra I Worked Examples" playlist is more comprehensive and should probably be watched first).
1. CA Algebra I: Number Properties and Absolute Value
2. CA Algebra I: Simplifying Expressions
3. CA Algebra I: Simple Logical Arguments
4. CA Algebra I: Graphing Inequalities
5. CA Algebra I: Slope and Y-intercept
6. CA Algebra I: Systems of Inequalities
7. CA Algebra I: Simplying Expressions
8. CA Algebra I: Factoring Quadratics
9. CA Algebra I: Completing the Square
10. CA Algebra I: Quadratic Equation
11. CA Algebra I: Quadratic Roots
12. CA Algebra I: Rational Expressions
13. CA Algebra I: Rational Expressions
14. CA Algebra I: Word Problems
15. CA Algebra I: More Word Problems
California Standards Test: Algebra II
Sal works through 80 questions taken from the California Standards Test for Algebra II. Good place to review the major topics in Algebra II even if you're not in California. Many of these topics are taught in more depth in the "Algebra" playlist.
1. California Standards Test: Algebra II
2. California Standards Test: Algebra II (Graphing Inequalities
3. CA Standards: Algebra II (Algebraic Division/Multiplication)
5. Algebra II: Simplifying Polynomials
6. Algebra II: Imaginary and Complex Numbers
7. Algebra II: Complex numbers and conjugates
8. Algebra II: Quadratics and Shifts
9. Algebra II: Shifting Quadratic Graphs
10. Algebra ||: Conic Sections
11. Algebra II: Circles and Logarithms
12. Algebra II: Logarithms Exponential Growth
13. Algebra II: Logarithms and more
14. Algebra II: Functions, Combinatorics
15. Algebra II: binomial Expansion and Combinatorics
16. Algebra II: Binomial Expansions, Geometric Series Sum
17. Algebra II: Functions and Probability
18. Algebra II: Probability and Statistics
19. Algebra II: Mean and Standard Deviation
California Standards Test: Geometry
Sal does the 80 problems from the released questions from the California Standards Test for Geometry. Test at http://www.cde.ca.gov/ta/tg/sr/documents/rtqgeom.pdf . Basic understanding of Algebra I necessary.
1. CA Geometry: deductive reasoning
2. CA Geometry: Proof by Contradiction
4. CA Geometry: Similar Triangles
5. CA Geometry: Similar Triangles
6. CA Geometry: More on congruent and similar triangles
7. CA Geometry: Triangles and Parallelograms
8. CA Geometry: Area, Pythagorean Theorem
9. CA Geometry: Area, Circumference, Volume
10. CA Geometry: Pythagorean Theorem, Area
11. CA Geometry: Exterior Angles
12. CA Geometry: Deducing Angle Measures
13. CA Geometry: Pythagorean Theorem, Compass Constructions
14. CA Geometry: Compass Construction
15. CA Geometry: Basic Trigonometry
17. CA Geometry: Circle Area Chords Tangent
18. CA Geometry: Secants and Translations
Videos on chemistry (roughly covering a first-year high school or college course).
3. Orbitals
4. More on orbitals and electron configuration
8. Groups of the Periodic Table
9. Periodic Table Trends: Ionization Energy
10. Other Periodic Table Trends
11. Ionic, Covalent, and Metallic Bonds
12. Molecular and Empirical Formulas
13. The Mole and Avogadro's Number
14. Formula from Mass Composition
15. Another mass composition problem
16. Balancing Chemical Equations
17. Stoichiometry
18. Stoichiometry: Limiting Reagent
19. Ideal Gas Equation: PV=nRT
20. Ideal Gas Equation Example 1
21. Ideal Gas Equation Example 2
22. Ideal Gas Equation Example 3
24. Partial Pressure
25. States of Matter
26. States of Matter Follow-Up
27. Specific Heat, Heat of Fusion and Vaporization
29. Phase Diagrams
31. Covalent Networks, Metallic, and Ionic Crystals
32. Vapor Pressure
33. Suspensions, Colloids and Solutions
34. Solubility
35. Boiling Point Elevation and Freezing Point Supression
39. Keq Intuition (mathy and not necessary to progress)
40. Keq derivation intuition (can skip; bit mathy)
43. Introduction to pH, pOH, and pKw
45. pH, pOH of Strong Acids and Bases
50. Buffers and Hendersen-Hasselbalch
55. Introduction to Oxidation States
57. Hydrogen Peroxide Correction
58. Redox Reactions
59. Galvanic Cells
60. Types of Decay
61. Half-Life
62. Exponential Decay Formula Proof (can skip, involves Calculus)
63. Introduction to Exponential Decay
64. More Exponential Decay Examples
65. Macrostates and Microstates
66. Quasistatic and Reversible Processes
67. First Law of Thermodynamics/ Internal Energy
70. PV-diagrams and Expansion Work
71. Proof: U=(3/2)PV or U=(3/2)nRT
72. Work Done by Isothermic Process
73. Carnot Cycle and Carnot Engine
74. Proof: Volume Ratios in a Carnot Cycle
75. Proof: S (or Entropy) is a valid state variable
76. Thermodynamic Entropy Definition Clarification
77. Reconciling Thermodynamic and State Definitions of Entropy
79. Maxwell's Demon
80. More on Entropy
81. Efficiency of a Carnot Engine
82. Carnot Efficiency 2: Reversing the Cycle
83. Carnot Efficiency 3: Proving that it is the most efficient
84. Enthalpy
86. Hess's Law and Reaction Enthalpy Change
87. Gibbs Free Energy and Spontaneity
89. More rigorous Gibbs Free Energy/ Spontaneity Relationship
90. A look at a seductive but wrong Gibbs/Spontaneity Proof
91. Stoichiometry Example Problem 1
92. Stoichiometry Example Problem 2
93. Limiting Reactant Example Problem 1
94. Empirical and Molecular Formulas from Stoichiometry
95. Example of Finding Reactant Empirical Formula
96. Stoichiometry of a Reaction in Solution
97. Another Stoichiometry Example in a Solution
98. Molecular and Empirical Forumlas from Percent Composition
100. Spectrophotometry Introduction
101. Spectrophotometry Example
102. Hess's Law Example
105. Carbon 14 Dating 1
106. Carbon 14 Dating 2
Example problems from random math competitions
3. 2003 AIME II Problem 4 (part 1)
7. 2003 AIME II Problem 5 Minor Correction
9. Area Circumradius Formula Proof
11. Sum of Polynomial Roots (Proof)
12. Sum of Squares of Polynomial Roots
17. 2003 AIME II Problem 11.avi
19. 2003 AIME II Problem 15 (part 1)
20. 2003 AIME II Problem 15 (part 2)
21. 2003 AIME II Problem 15 (part 3)
Introduction to programming and computer science
1. Introduction to Programs Data Types and Variables
2. Python Lists
6. Writing a Simple Factorial Program. (Python 2)
7. Stepping Through the Factorial Program
8. Flowchart for the Factorial Program
9. Python 3 Not Backwards Compatible with Python 2
10. Defining a Factorial Function
11. Diagramming What Happens with a Function Call
12. Recursive Factorial Function
13. Comparing Iterative and Recursive Factorial Functions
14. Exercise - Write a Fibonacci Function
15. Iterative Fibonacci Function Example
16. Stepping Through Iterative Fibonacci Function
17. Recursive Fibonacci Example
18. Stepping Through Recursive Fibonacci Function
19. Exercise - Write a Sorting Function
22. Stepping Through Insertion Sort Function
23. Simpler Insertion Sort Function
Videos attempting to grasp a little bit about our Universe
3. Scale of Distance to Closest Stars
8. Radius of Observable Universe
9. (Correction) Radius of Observable Universe
10. Red Shift
11. Cosmic Background Radiation
12. Cosmic Background Radiation 2
16. Birth of Stars
19. A Universe Smaller than the Observable
20. Star Field and Nebula Images
21. Parallax in Observing Stars
22. Stellar Parallax
23. Stellar Distance Using Parallax
24. Stellar Parallax Clarification
26. Hubble's Law
27. Lifecycle of Massive Stars
30. Black Holes
33. Why Gravity Gets So Strong Near Dense Objects
35. Quasars
38. Earth Formation
40. Ozone Layer and Eukaryotes Show Up in the Proterozoic Eon
41. Biodiversity Flourishes in Phanerozoic Eon
42. First living things on land clarification
43. Plate Tectonics-- Difference between crust and lithosphere
45. Plate Tectonics -- Evidence of plate movement
46. Plate Tectonics -- Geological Features of Divergent Plate Boundaries
47. Plate Tectonics-- Geological features of Convergent Plate Boundaries
48. Plates Moving Due to Convection in Mantle
49. Hawaiian Islands Formation
50. Compositional and Mechanical Layers of the Earth
51. Seismic Waves
52. Why S-Waves Only Travel in Solids
53. Refraction of Seismic Waves
54. The Mohorovicic Seismic Discontinuity
55. How we know about the Earth's core
56. Pangaea
59. Detectable Civilizations in our Galaxy 1
60. Detectable Civilizations in our Galaxy 2
61. Detectable Civilizations in our Galaxy 3
62. Detectable Civilizations in our Galaxy 4
63. Detectable Civilizations in our Galaxy 5
65. Understanding Calendar Notation
66. Correction Calendar Notation
67. Development of Agrilculture and Writing
69. Seasons Aren't Dictated by Closeness to Sun
70. How Earth's Tilt Causes Seasons
71. Milankovitch Cycles Precession and Obliquity
72. Are Southern Hemisphere Seasons More Severe?
73. Precession Causing Perihelion to Happen Later
74. What Causes Precession and Other Orbital Changes
75. Apsidal Precession (Perihelion Precession) and Milankovitch Cycles
Videos on the causes and effects of the credit crisis/crunch.
1. The housing price conundrum
2. Housing price conundrum (part 2)
3. Housing Price Conundrum (part 3)
5. Mortgage-Backed Securities I
6. Mortgage-backed securities II
7. Mortgage-backed securities III
8. Collateralized Debt Obligation (CDO)
9. Bailout 13: Does the bailout have a chance of working?
Videos about currency exchange
1. Currency Exchange Introduction
3. Currency Effect on Trade Review
5. Chinese Central Bank Buying Treasuries
7. Debt Loops Rationale and Effects
8. China keeps peg but diversifies holdings
Discussions of economic topics and how they relate to current events.
1. Economics of a Cupcake Factory
4. Inflation, Deflation & Capacity Utilization
5. Inflation, Deflation & Capacity Utilization 2
6. Inflation & Deflation 3: Obama Stimulus Plan
7. Unemployment
8. CPI Index
9. Simple Analysis of Cost per Job Saved from Stimulus
11. Floating Exchange Resolving Trade Imbalance
12. China Pegs to Dollar to Keep Trade Imbalance
14. Review of China US currency situation
15. Data on Chinese M1 Increase in 2010
16. Data on Chinese Foreign Assets Increase in 2010
17. Data on Chinese US Balance of Payments
19. Floating Exchange Effect on China
20. Floating Exchange Effect on US
Worked developmental math examples from the Monterey Institute. These start pretty basic and would prepare a student for the Algebra I worked examples
10. Adding Whole Numbers and Applications 1
11. Adding Whole Numbers and Applications 2
12. Adding Whole Numbers and Applications 3
13. Adding Whole Numbers and Applications 4
15. Subtraction with Borrowing or Regrouping
17. Rounding to Estimate Differences
19. Rounding to Estimate Sums 2
20. Multiplying Whole Numbers and Applications 1
21. Multiplying Whole Numbers and Applications 2
22. Multiplying Whole Numbers and Applications 3
23. Multiplying Whole Numbers and Applications 4
24. Multiplying Whole Numbers and Applications 5
25. Multiplying Whole Numbers and Applications 6
26. Dividing Whole Numbers and Applications 1
27. Dividing Whole Numbers and Applications 2
28. Dividing Whole Numbers and Applications 3
29. Dividing Whole Numbers and Applications 4
30. Dividing Whole Numbers and Applications 5
31. Dividing Whole Numbers and Applications 6
32. Properties of Whole Numbers
34. Commutative Law of Addition
35. Commutative Law of Multiplication
36. Associative Law of Addition
37. Associative Law of Multiplication
39. The Distributive Property 2
42. Understanding Square Roots
45. Numerator and Denominator of a Fraction
46. Identifying Fraction Parts
47. Proper and Improper Fractions
48. Converting Mixed Numbers to Improper Fractions
49. Changing an Improper Fraction to a Mixed Number
51. Finding Factors of a Number
60. Multiplying Fractions and Mixed Numbers
61. Multiplying Fractions Word Problem
62. Reciprocal of a Mixed Number
65. Dividing Mixed Numbers and Fractions
66. Dividing Fractions Word Problem
67. Adding Fractions with Like Denominators
68. Least Common Multiple (LCM)
69. Finding Common Denominators
70. Adding Fractions with Unlike Denominators
72. Adding Mixed Numbers with Unlike Denominators
73. Adding Mixed Numbers Word Problem
76. Subtracting Mixed Numbers 2
77. Subtracting Mixed Numbers Word Problem
81. Converting Fractions to Decimals
86. Adding Decimals
88. Subtracting Decimals Word Problem
90. Multiplying a Decimal by a Power of 10
92. Dividing a Decimal by a Power of 10
96. Ratios as Fractions in Simplest Form
97. Simplifying Rates and Ratios
100. Understanding Proportions
101. Find an Unknown in a Proportion
102. Find an Unknown in a Proportion 2
103. Describing the Meaning of Percent
104. Describing the Meaning of Percent 2
105. Representing a number as a decimal, percent, and fraction
106. Representing a number as a decimal, percent, and fraction 2
107. Identifying Percent Amount and Base
108. Solving Percent Problems 2
109. Solving Percent Problems 3
110. Unit Conversion with Fractions
111. Adding different units of length
112. Converting units of length
113. Converting pounds to ounces
114. Adding different units for weight
115. Application problems involving units of weight
116. Converting Gallons to quarts pints and cups
117. Performing arithmetic calculations on units of volume
118. Solving application problems involving units of volume
119. U.S. Customary and Metric units
120. Conversion between metric units
121. Converting within the metric system
122. Perimeter and Unit Conversion
123. Comparing Celsius and Farenheit temperature scales
124. Converting Farenheit to Celsius
125. Variables and Expressions 1
126. Evaluating Expressions with Two Variables
127. Locate integers on a number line
128. Absolute Value of Integers
129. Opposite of a given number
130. Number Sets
132. Comparing Rational Numbers
133. Identifying Rational Numbers
135. Adding integers with different signs
136. Adding real numbers with different signs
137. Adding fractions with different signs
139. Application of addition of real numbers
141. Adding and subtracting real numbers
142. Adding and subtracting real numbers application
143. Multiplying negative real numbers
144. Dividing real numbers with different signs
146. Multiplying real number application
147. Commutative Property for Addition
148. Associative property for multiplication
150. Order of Operations
152. Solving One-Step Equations
153. Solving One-Step Equations 2
157. Application problems with equation in one variable
158. Evaluate a formula using substitution
159. Rearrange formulas to isolate specific variables
160. Inequalities on a number line
164. Multi-Step Inequalities 2
165. Compund Inequalities
170. Absolute Value Inequalities
171. Absolute Value Equations 2
172. Evaluating exponential expressions
173. Evaluating exponential expressions 2
174. Evaluating exponential expressions 3
185. Terms coefficients and exponents in a polynomial
186. Evaluating a polynomial at a given value
187. Simply a polynomial
188. Adding Polynomials
192. Multiplying Monomials by Polynomials
195. Special Polynomials Products 1
196. Square a Binomial
Worked developmental math examples from the Monterey Institute (part 2). These start at Algebra I and would prepare a student for basic college mathematics.
2. Polynomial divided by monomial
4. Dividing polynomials with remainders
5. Evaluating an expression with multiple variables
6. Simplifying an expression with multiple variables
7. Adding polynomials with multiple variables
8. Subtracting polynomials with multiple variables
9. More multiplying polynomials
10. Dividing multivariable polynomial with monomial
11. Monomial Greatest Common Factor
12. Factor polynomials using the GCF
13. Factor expressions by grouping
14. Factoring trinomials with a leading 1 coefficient
15. Factoring trinomials with a common factor
16. Factoring trinomials with a non-1 leading coefficient by grouping
17. Factoring perfect square trinomials
18. Factoring difference of squares
20. Factoring the Difference of Cubes
21. Solving factored equations
22. Solving quadratics by factoring
23. Applications Problem Factoring Quadratics
24. Plotting (x,y) relationships
25. Quadrants of Coordinate Plane
26. Graphing using X and Y intercepts
27. Ordered pair solutions of equations
28. Application problem with graph
35. Slope of Perpendicular Line
39. Graphings Systems of Equations
40. Testing a solution for a system of equations
41. Consistent and Inconsistent Systems
42. Independent and Dependent Systems
43. Graphical Systems Application Problem
44. Graphical System of Inequalities
45. Testing Solutions for a System of Inequalities
46. System of Inequalities Application
50. Addition Elimination Method 1
51. Addition Elimination Method 2
52. Addition Elimination Method 3
53. Addition Elimination Method 4
54. Systems of Three Variables
55. Systems of Three Variables 2
56. Three Equation Application Problem
57. Solutions to Three Variable System
58. Domain of a Rational Expression 1
59. Simplifying Rational Expressions
60. Multiplying and Simplifying Rational Expressions
61. Dividing and Simplifying Rational Expressions
62. Algebraic Expression Least Common Multiple
63. Adding Rational Expressions
64. Subtracting Rational Expressions
65. Simplifying First for Subtracting Rational Expressions
66. Adding and Subtracting Rational Expressions
67. Complicated Rational Expressions
69. Extraneous Solutions to Rational Equations
70. Rate Problem Involving Rational Equations
71. Another Take on the Rate Problem
73. Direct Inverse and Joint Variation
74. Proportionality Constant for Direct Variation
75. Direct Variation Application
76. Inverse Variation Application
77. Joint Variation Application
78. Approximating Square Roots
80. Simplifying Square Roots Comment Response
83. Radical Equivalent to Rational Exponents
84. Radical Equivalent to Rational Exponents 2
85. Rational Exponents and Exponent Laws
86. More Rational Exponents and Exponent Laws
87. Multiply and Simply a Radical Expression
88. Multiply and Simply a Radical Expression
89. Adding and Simplifying Radicals
90. Subtracting and Simplifying Radicals
91. Multiplying Binomials with Radicals
92. Rationalizing Denominators of Expressions
93. Rationalizing Denominators with Conjugates
95. Extraneous Solutions for Radical Equations
96. Radical Equation Application Problem
97. Complex Numbers
98. Imaginary Roots of Negative Numbers
100. Subtracting Complex Numbers
101. Multiplying Complex Numbers
102. Complex Conjugates
104. Simple Quadratic Equation
105. Completing Perfect Square Trinomials
106. Completing the Square to Solve Quadratic Equations
107. Quadratic Equations in Standard Form
108. Applying the Quadratic Formula
109. Complex Roots from the Quadratic Formula
110. Discriminant for Types of Solutions for a Quadratic
111. Application Problem with Quadratic Formula
Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.
1. Introduction to differential equations
2. Separable Differential Equations
3. Separable differential equations 2
4. Exact Equations Intuition 1 (proofy)
5. Exact Equations Intuition 2 (proofy)
11. First order homegenous equations
12. First order homogenous equations 2
13. 2nd Order Linear Homogeneous Differential Equations 1
14. 2nd Order Linear Homogeneous Differential Equations 2
15. 2nd Order Linear Homogeneous Differential Equations 3
16. 2nd Order Linear Homogeneous Differential Equations 4
17. Complex roots of the characteristic equations 1
18. Complex roots of the characteristic equations 2
19. Complex roots of the characteristic equations 3
20. Repeated roots of the characteristic equation
21. Repeated roots of the characterisitic equations part 2
22. Undetermined Coefficients 1
23. Undetermined Coefficients 2
24. Undetermined Coefficients 3
25. Undetermined Coefficients 4
28. Laplace Transform 3 (L{sin(at)})
32. Laplace Transform to solve an equation
33. Laplace Transform solves an equation 2
34. More Laplace Transform tools
35. Using the Laplace Transform to solve a nonhomogenous eq
36. Laplace Transform of : L{t}
37. Laplace Transform of t^n: L{t^n}
38. Laplace Transform of the Unit Step Function
40. Laplace/Step Function Differential Equation
42. Laplace Transform of the Dirac Delta Function
43. Introduction to the Convolution
44. The Convolution and the Laplace Transform
45. Using the Convolution Theorem to Solve an Initial Value Prob
Videos on finance and macroeconomics
3. Introduction to Present Value
6. Present Value 4 (and discounted cash flow)
7. Introduction to Balance Sheets
8. More on balance sheets and equity
11. Renting vs. buying a home (part 2)
12. Renting vs. Buying (detailed analysis)
13. The housing price conundrum
14. Housing price conundrum (part 2)
15. Housing Price Conundrum (part 3)
16. Housing Conundrum (part 4)
17. Raising money for a startup
18. Getting a seed round from a VC
19. Going back to the till: Series B
20. An IPO
21. More on IPOs
22. What it means to buy a company's stock
23. Bonds vs. Stocks
24. Shorting Stock
25. Shorting Stock 2
27. Chapter 7:Bankruptcy Liquidation
28. Chapter 11: Bankruptcy Restructuring
30. Credit Default Swaps (CDS) Intro
31. Mortgage Back Security Overview
32. Collateralized Debt Obligation Overview
33. Mortgage-Backed Securities I
34. Mortgage-backed securities II
35. Mortgage-backed securities III
36. Collateralized Debt Obligation (CDO)
37. Introduction to the yield curve
38. Introduction to compound interest and e
39. Compound Interest and e (part 2)
40. Compound Interest and e (part 3)
41. Compound Interest and e (part 4)
42. Bailout 1: Liquidity vs. Solvency
44. Bailout 3: Book value vs. market value
45. Bailout 4: Mark-to-model vs. mark-to-market
46. Bailout 5: Paying off the debt
47. Bailout 6: Getting an equity infusion
48. Bailout 7: Bank goes into bankruptcy
54. Investment vs. Consumption 1
55. Investment vs. Comsumption 2
56. Bailout 11: Why these CDOs could be worth nothing
57. Bailout 12: Lone Star Transaction
58. Bailout 13: Does the bailout have a chance of working?
61. Bailout 14: Possible Solution
62. Bailout 15: More on the solution
63. Banking 1
64. Banking 2: A bank's income statement
65. Banking 3: Fractional Reserve Banking
66. Banking 4: Multiplier effect and the money supply
67. Personal Bankruptcy: Chapters 7 and 13
68. Introduction to Compound Interest
69. The Rule of 72 for Compound Interest
70. Annual Percentage Rate (APR) and Effective APR
72. Relationship between bond prices and interest rates
73. Introduction to Mortgage Loans
74. Traditional IRAs
75. Roth IRAs
76. 401(k)s
77. Payday Loans
78. Institutional Roles in Issuing and Processing Credit Cards
79. Ponzi Schemes
80. Currency Exchange Introduction
82. Currency Effect on Trade Review
83. Pegging the Yuan
84. Chinese Central Bank Buying Treasuries
85. American-Chinese Debt Loop
86. Debt Loops Rationale and Effects
88. Basic Shorting
91. Put vs. Short and Leverage
94. Long Straddle
95. Put as Insurance
96. Put-Call Parity
97. Put Writer Payoff Diagrams
98. Call Writer Payoff Diagram
99. Arbitrage Basics
100. Put-Call Parity Arbitrage I
101. Put-Call Parity Arbitrage II
102. Put-Call Parity Clarification
103. Actual Option Quotes
104. Option Expiration and Price
105. Forward Contract Introduction
106. Futures Introduction
107. Motivation for the Futures Exchange
109. Verifying Hedge with Futures Margin Mechanics
110. Futures and Forward Curves
111. Contango from Trader Perspective
112. Severe Contango Generally Bearish
113. Backwardation Bullish or Bearish
114. Futures Curves II
115. Contango
116. Backwardation
117. Contango and Backwardation Review
118. Upper Bound on Forward Settlement Price
119. Lower Bound on Forward Settlement Price
120. Arbitraging Futures Contract
121. Arbitraging Futures Contracts II
122. Cash Accounting
123. Accrual Basis of Accounting
124. Comparing Accrual and Cash Accounting
125. Balance Sheet and Income Statement Relationship
126. Basic Cash Flow Statement
127. Doing the example with Accounts Payable growing
128. Expensing a Truck leads to inconsistent performance
130. Depreciation in Cash Flow
131. Amortization and Depreciation
132. Basic Capital Structure Differences
135. LIBOR
137. Tax Deductions Introduction
139. Term Life Insurance and Death Probability
140. Back of Envelope Office Space Conundrum
141. Corporations and Limited Liability
142. Is Limited Liability or Double Taxation Fair
143. Open-Ended Mutual Fund (Part 1)
144. Open-End Mutual Fund Redemptions
146. Exchange Traded Funds (ETFs)
147. Hedge Funds Intro
148. Hedge Fund Structure and Fees
149. Are Hedge Funds Bad?
150. Hedge Funds, Venture Capital, and Private Equity
151. Treasury Bond Prices and Yields
152. Annual Interest Varying with Debt Maturity
153. The Yield Curve
154. Fed Open Market Operations
155. Quantitative Easing
156. More on Quantitative Easing (and Credit Easing)
157. Hedge Fund Strategies - Long Short 1
158. Hedge Fund Strategies - Long Short 2
159. Hedge Fund Strategies - Merger Arbitrage 1
160. Stock Dilution
162. Price Behavior After Announced Acquisition
163. Simple Merger Arb with Share Acquisition
164. Basic Leveraged Buyout (LBO)
165. Corporate Debt versus Traditional Mortgages
166. AMT Overview
167. Open market operations and Quantitative Easing Overview
168. Another Quantitative Easing Video
169. US and Japanese Quantitative Easing
170. Term and Whole Life Insurance Policies 2
171. Term and Whole Life Insurance Policies
173. Human Capital
174. Risk and Reward Introduction
175. Futures Fair Value in the Pre-Market
176. What is Inflation
177. Inflation Data
178. Moderate Inflation in a Good Economy
179. Stagflation
181. Calculating Real Return in Last Year Dollars
182. Relation Between Nominal and Real Returns and Inflation
183. Use Cases for Credit Default Swaps
184. Financial Weapons of Mass Destruction
185. Deflation
186. Velocity of Money Rather than Quantity Driving Prices
187. Deflation Despite Increases in Money Supply
188. Deflationary Spiral
189. Hyperinflation
190. Estate Tax Basics
191. Term and Whole Life
194. Time Value of Money
196. Inflation Overview
197. Basics of US Income Tax Rate Schedule
198. Carry Trade Basics
Sal works through 155 data sufficiency problems in the GMAC GMAT Review book (so using real GMAT problems). Buy the book, then watch the videos.
22. GMAT Data Sufficiency 21 (correction)
Sal works through tbe 249 problem solving (math) questions in the official GMAC GMAT book.
1. GMAT Math: 1
2. GMAT Math: 2
3. GMAT Math: 3
4. GMAT Math: 4
5. GMAT Math: 5
6. GMAT: Math 6
7. GMAT: Math 7
8. GMAT: Math 8
9. GMAT: Math 9
10. GMAT: Math 10
11. GMAT: Math 11
12. GMAT: Math 12
13. GMAT: Math 13
14. GMAT: Math 14
15. GMAT: Math 15
16. GMAT: Math 16
17. GMAT: Math 17
18. GMAT: Math 18
19. GMAT: Math 19
20. GMAT Math 20
21. GMAT Math 21
22. GMAT Math 22
23. GMAT Math 23
24. GMAT Math 24
25. GMAT Math 25
26. GMAT Math 26
27. GMAT Math 27
28. GMAT Math 28
29. GMAT Math 29
30. GMAT Math 30
31. GMAT Math 31
32. GMAT Math 32
33. GMAT Math 33
34. GMAT Math 34
35. GMAT Math 35
36. GMAT Math 36
37. GMAT Math 37
38. GMAT Math 38
39. GMAT Math 39
40. GMAT Math 40
41. GMAT Math 41
42. GMAT Math 42
43. GMAT Math 43
44. GMAT Math 44
45. GMAT Math 45
46. GMAT Math 46
47. GMAT Math 47
48. GMAT Math 48
49. GMAT Math 49
50. GMAT Math 50
51. GMAT Math 51
52. GMAT Math 52
53. GMAT Math 53
54. GMAT Math 54
Videos on the Geithner Plan to solve the banking crisis.
6. Geithner 5: A better solution
Videos on geometry. Basic understanding of Algebra I necessary. After this, you'll be ready for Trigonometry.
4. Angles formed between transversals and parallel lines
10. Acute Right and Obtuse Angles
12. Circles: Radius, Diameter and Circumference
13. Area of a circle
17. Intro to 30-60-90 Triangles
20. Cylinder Volume and Surface Area
21. Heron's Formula
22. Part 1 of Proof of Heron's Formula
23. Part 2 of the Proof of Heron's Formula
24. An inscribed angle is half of a central angle that subtends the same arc
25. Area of Inscribed Equilateral Triangle (some basic trig used)
26. Right Triangles Inscribed in Circles (Proof)
27. Area of Diagonal Generated Triangles of Rectangle are Equal
28. Triangle Medians and Centroids
29. Triangle Medians and Centroids (2D Proof)
32. Measuring Angles
33. Lines, Line Segments, and Rays
The history of the world (eventually)!
1. US History Overview 1: Jamestown to the Civil War
2. Appomattox Court House and Lincoln's Assassination
3. US History Overview 2 - Reconstruction to the Great Depression
4. US History Overview 3 - WWII to Vietnam
5. Communism
9. Vietnam War
10. Pattern of US Cold War Interventions
11. Allende and Pinochet in Chile
12. When Capitalism is Great and Not-so-great
13. 20th Century Capitalism and Regulation in the United States
14. French Revolution (Part 1)
15. French Revolution (Part 2)
16. French Revolution (Part 3) - Reign of Terror
17. French Revolution (Part 4) - The Rise of Napoleon Bonaparte
18. Haitian Revolution (Part 1)
19. Haitian Revolution (Part 2)
20. Napoleon and the Wars of the First and Second Coalitions
21. Napoleon and the War of the Third Coalition
22. Napoleon and the War of the Fourth Coalition
23. Napoleon's Peninsular Campaigns
25. Napoleon Forced to Abdicate
Questions from previous IIT JEEs
1. IIT JEE Trigonometry Problem 1
2. IIT JEE Perpendicular Planes (Part 1)
3. IIT JEE Perpendicular Plane (part 2)
4. IIT JEE Complex Root Probability (part 1)
5. IIT JEE Complex Root Probability (part 2)
8. IIT JEE Algebraic Manipulation
11. IIT JEE Hairy Trig and Algebra (part 1)
12. IIT JEE Hairy Trig and Algebra (Part 2)
13. IIT JEE Hairy Trig and Algebra (Part 3)
14. IIT JEE Complex Numbers (part 1)
15. IIT JEE Complex Numbers (part 2)
16. IIT JEE Complex Numbers (part 3)
17. IIT JEE Differentiability and Boundedness
18. IIT JEE Integral with Binomial Expansion
19. IIT JEE Symmetric and Skew-Symmetric Matrices
20. IIT JEE Trace and Determinant
21. IIT JEE Divisible Determinants
22. IIT JEE Circle Hyperbola Intersection
23. IIT JEE Circle Hyperbola Common Tangent Part 1
24. IIT JEE Circle Hyperbola Common Tangent Part 2
25. IIT JEE Circle Hyperbola Common Tangent Part 3
26. IIT JEE Circle Hyperbola Common Tangent Part 4
27. IIT JEE Circle Hyperbola Common Tangent Part 5
28. IIT JEE Trigonometric Constraints
29. IIT JEE Trigonometric Maximum
30. Vector Triple Product Expansion (very optional)
31. IIT JEE Lagrange's Formula
32. Tangent Line Hyperbola Relationship (very optional)
33. 2010 IIT JEE Paper 1 Problem 50 Hyperbola Eccentricity
34. Normal vector from plane equation
37. Complex Determinant Example
39. Trigonometric System Example
40. Simple Differential Equation Example
Khan Academy-Related Talks and Interviews
Collection of interviews with and presentations by Salman Khan. Also a few other mentions of Khan Academy at other talks.
1. PBS NewsHour on the Khan Academy
3. Salman Khan Speaks at GEL (Good Experience Live) Conference
4. Salman Khan Talk at the MIT Club of Northern California
5. Salman Khan talk at Castilleja School on January 5th, 2010
6. Sal Khan Interview with IT Conversations - January 31,2010
7. Salman Khan interview with NPR's All Things Considered on 12/28/2009
8. Khan Academy on PBS NewsHour (Edited)
9. Sal Khan (with a severe cold!) on Future Talk
10. Brian Lehrer Interview with Salman Khan
11. Salman Khan Interview with Mixergy.com
12. Bill Gates talks about the Khan Academy at Aspen Ideas Festival 2010
13. Khan Academy Vision and Social Return
14. Bay Area CBS Station with Salman Khan
15. CNN: Google award to Khan Academy
16. Fareed Zakaria talks about Khan Academy on CNN GPS
17. Khan Academy on the Gates Notes
18. Sal on ABC News
19. Forbes Names You Need To Know: Khan Academy
20. Salman Khan on KQED MindShift
21. Khan Academy Exercise Software
22. Salman Khan talk at TED 2011 (from ted.com)
23. Khan Academy on Nightly News
25. Authors@Google: Salman Khan
26. LinkedIn Speaker Series Salman Khan
27. TEDxSanJoseCA - Salman Khan - (Sequel to talk at TED)
28. Salman Khan on Charlie Rose
30. Salman Khan on Marketplace (NPR) on 5-24-2011
32. Salman Khan at TiEcon 2011
33. Khan Academy on Perry's Principles (6/2/2011)
34. Khan Academy on California Report (June 2011)
35. Ideal Math and Science Class Time
36. NPR Story on KA Los Altos Pilots (June 2011)
37. Salman Khan interviewed on NPR's On Point
38. 21st Century Challenges (Royal Geographic Society)
39. Answers for Malibu Magazine
40. NCSU Answers
41. Questions from Superinteressante (8-22-2011)
42. Answers to Questions from the Independent
43. The Gates Notes: Sal on Khan Academy
44. The Gates Notes: Students in Los Altos
45. The Gates Notes: Teachers in Los Altos
46. The Gates Notes: Administrators in Los Altos
47. The Gates Notes: Insights into students' progress
Matrices, vectors, vector spaces, transformations. Covers all topics in a first year college linear algebra course. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.
2. Matrix multiplication (part 1)
3. Matrix multiplication (part 2)
5. Inverting matrices (part 2)
6. Inverting Matrices (part 3)
7. Matrices to solve a system of equations
8. Matrices to solve a vector combination problem
10. 3-variable linear equations (part 1)
11. Solving 3 Equations with 3 Unknowns
12. Linear Algebra: Introduction to Vectors
13. Linear Algebra: Vector Examples
14. Linear Algebra: Parametric Representations of Lines
15. Linear Combinations and Span
16. Linear Algebra: Introduction to Linear Independence
17. More on linear independence
18. Span and Linear Independence Example
19. Linear Subspaces
20. Linear Algebra: Basis of a Subspace
21. Vector Dot Product and Vector Length
22. Proving Vector Dot Product Properties
23. Proof of the Cauchy-Schwarz Inequality
24. Linear Algebra: Vector Triangle Inequality
25. Defining the angle between vectors
26. Defining a plane in R3 with a point and normal vector
27. Linear Algebra: Cross Product Introduction
28. Proof: Relationship between cross product and sin of angle
29. Dot and Cross Product Comparison/Intuition
30. Matrices: Reduced Row Echelon Form 1
31. Matrices: Reduced Row Echelon Form 2
32. Matrices: Reduced Row Echelon Form 3
34. Introduction to the Null Space of a Matrix
35. Null Space 2: Calculating the null space of a matrix
36. Null Space 3: Relation to Linear Independence
38. Null Space and Column Space Basis
39. Visualizing a Column Space as a Plane in R3
40. Proof: Any subspace basis has same number of elements
41. Dimension of the Null Space or Nullity
42. Dimension of the Column Space or Rank
43. Showing relation between basis cols and pivot cols
44. Showing that the candidate basis does span C(A)
45. A more formal understanding of functions
48. Matrix Vector Products as Linear Transformations
49. Linear Transformations as Matrix Vector Products
50. Image of a subset under a transformation
51. im(T): Image of a Transformation
53. Preimage and Kernel Example
54. Sums and Scalar Multiples of Linear Transformations
55. More on Matrix Addition and Scalar Multiplication
56. Linear Transformation Examples: Scaling and Reflections
57. Linear Transformation Examples: Rotations in R2
58. Rotation in R3 around the X-axis
59. Unit Vectors
60. Introduction to Projections
61. Expressing a Projection on to a line as a Matrix Vector prod
62. Compositions of Linear Transformations 1
63. Compositions of Linear Transformations 2
64. Linear Algebra: Matrix Product Examples
65. Matrix Product Associativity
66. Distributive Property of Matrix Products
67. Linear Algebra: Introduction to the inverse of a function
68. Proof: Invertibility implies a unique solution to f(x)=y
69. Surjective (onto) and Injective (one-to-one) functions
70. Relating invertibility to being onto and one-to-one
71. Determining whether a transformation is onto
72. Linear Algebra: Exploring the solution set of Ax=b
73. Linear Algebra: Matrix condition for one-to-one trans
74. Linear Algebra: Simplifying conditions for invertibility
75. Linear Algebra: Showing that Inverses are Linear
76. Linear Algebra: Deriving a method for determining inverses
77. Linear Algebra: Example of Finding Matrix Inverse
78. Linear Algebra: Formula for 2x2 inverse
79. Linear Algebra: 3x3 Determinant
80. Linear Algebra: nxn Determinant
81. Linear Algebra: Determinants along other rows/cols
82. Linear Algebra: Rule of Sarrus of Determinants
83. Linear Algebra: Determinant when row multiplied by scalar
84. Linear Algebra: (correction) scalar muliplication of row
85. Linear Algebra: Determinant when row is added
86. Linear Algebra: Duplicate Row Determinant
87. Linear Algebra: Determinant after row operations
88. Linear Algebra: Upper Triangular Determinant
89. Linear Algebra: Simpler 4x4 determinant
90. Linear Algebra: Determinant and area of a parallelogram
91. Linear Algebra: Determinant as Scaling Factor
92. Linear Algebra: Transpose of a Matrix
93. Linear Algebra: Determinant of Transpose
94. Linear Algebra: Transpose of a Matrix Product
95. Linear Algebra: Transposes of sums and inverses
96. Linear Algebra: Transpose of a Vector
97. Linear Algebra: Rowspace and Left Nullspace
98. Lin Alg: Visualizations of Left Nullspace and Rowspace
99. Linear Algebra: Orthogonal Complements
100. Linear Algebra: Rank(A) = Rank(transpose of A)
101. Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n
102. Lin Alg: Representing vectors in Rn using subspace members
103. Lin Alg: Orthogonal Complement of the Orthogonal Complement
104. Lin Alg: Orthogonal Complement of the Nullspace
105. Lin Alg: Unique rowspace solution to Ax=b
106. Linear Alg: Rowspace Solution to Ax=b example
107. Lin Alg: Showing that A-transpose x A is invertible
108. Linear Algebra: Projections onto Subspaces
109. Linear Alg: Visualizing a projection onto a plane
110. Lin Alg: A Projection onto a Subspace is a Linear Transforma
111. Linear Algebra: Subspace Projection Matrix Example
112. Lin Alg: Another Example of a Projection Matrix
113. Linear Alg: Projection is closest vector in subspace
114. Linear Algebra: Least Squares Approximation
115. Linear Algebra: Least Squares Examples
116. Linear Algebra: Another Least Squares Example
117. Linear Algebra: Coordinates with Respect to a Basis
118. Linear Algebra: Change of Basis Matrix
119. Lin Alg: Invertible Change of Basis Matrix
120. Lin Alg: Transformation Matrix with Respect to a Basis
121. Lin Alg: Alternate Basis Tranformation Matrix Example
122. Lin Alg: Alternate Basis Tranformation Matrix Example Part 2
123. Lin Alg: Changing coordinate systems to help find a transformation matrix
124. Linear Algebra: Introduction to Orthonormal Bases
125. Linear Algebra: Coordinates with respect to orthonormal bases
126. Lin Alg: Projections onto subspaces with orthonormal bases
127. Lin Alg: Finding projection onto subspace with orthonormal basis example
128. Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix
129. Lin Alg: Orthogonal matrices preserve angles and lengths
130. Linear Algebra: The Gram-Schmidt Process
131. Linear Algebra: Gram-Schmidt Process Example
132. Linear Algebra: Gram-Schmidt example with 3 basis vectors
133. Linear Algebra: Introduction to Eigenvalues and Eigenvectors
134. Linear Algebra: Proof of formula for determining Eigenvalues
135. Linear Algebra: Example solving for the eigenvalues of a 2x2 matrix
136. Linear Algebra: Finding Eigenvectors and Eigenspaces example
137. Linear Algebra: Eigenvalues of a 3x3 matrix
138. Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 matrix
139. Linear Algebra: Showing that an eigenbasis makes for good coordinate systems
140. Vector Triple Product Expansion (very optional)
141. Normal vector from plane equation
MA Tests for Education Licensure (MTEL) -Pre-Alg
Massachusetts Tests for Education Licensure (MTEL) General Curriculum (03) Practice Test explained by Sal. Good problems for deep understanding of pre-algebra concepts.
1. MTEL Math Practice Test: 1-4
2. MTEL Math Practice Test: 5-8
3. MTEL Math Practice Test: 9-11
4. MTEL Math Practice Test: 12 -15
5. MTEL Math Practice Test: 16-19
6. MTEL Math Practice Test: 20-23
7. MTEL Math Practice Test: 24-27
8. MTEL Math Practice Test: 28-30
9. MTEL Math Practice Test: 31-35
10. MTEL Math Practice Test: 36-40
11. MTEL Math Practice Test: 41-45
Topics covered in college organic chemistry course. Basic understanding of basic high school or college chemistry assumed
1. Representing Structures of Organic Molecules
3. Naming Alkanes with Alkyl Groups
4. Correction - 2-Propylheptane should never be the name!
5. Common and Systematic Naming-Iso, Sec and Tert Prefixes
6. More Organic Chemistry Naming Examples 1
7. Organic Chemistry Naming Examples 2
8. Organic Chemistry Naming Examples 3
9. Organic Chemistry Naming Examples 4
10. Organic Chemistry Naming Examples 5
13. sp3 Hybridized Orbitals and Sigma Bonds
14. Pi bonds and sp2 Hybridized Orbitals
17. Chair and Boat Shapes for Cyclohexane
18. Double Newman Diagram for Methcyclohexane
22. Cahn-Ingold-Prelog System for Naming Enantiomers
23. R,S (Cahn-Ingold-Prelog) Naming System Example 2
24. Stereoisomers, Enantiomers, Diastereomers, Constitutional Isomers and Meso Compounds
25. Cis-Trans and E-Z Naming Scheme for Alkenes
26. Entgegen-Zusammen Naming Scheme for Alkenes Examples
27. Introduction to Reaction Mechanisms
28. Markovnikov's Rule and Carbocations
29. Addition of Water (Acid-Catalyzed) Mechanism
30. Polymerization of Alkenes with Acid
31. Sn2 Reactions
32. Sn1 Reactions
33. Steric Hindrance
35. Solvent Effects on Sn1 and Sn2 Reactions
36. Nucleophilicity (Nucleophile Strength)
37. Nucleophilicity vs. Basicity
38. E2 Reactions
39. E1 Reactions
40. Zaitsev's Rule
41. Comparing E2 E1 Sn2 Sn1 Reactions
42. E2 E1 Sn2 Sn1 Reactions Example 2
43. E2 E1 Sn2 Sn1 Reactions Example 3
45. Alcohols
47. Resonance
48. Ether Naming and Introduction
49. Cyclic ethers and epoxide naming
50. Ring-opening Sn2 reaction of expoxides
51. Sn1 and Sn2 epoxide opening discussion
52. Aromatic Compounds and Huckel's Rule
53. Naming Benzene Derivatives Introduction
54. Electrophilic Aromatic Substitution
57. Amine Naming 2
58. Amine as Nucleophile in Sn2 Reaction
62. Ketone Naming
64. Friedel Crafts Acylation Addendum
66. Carboxlic Acid Introduction
70. Amides, Anhydrides, Esters and Acyl Chlorides
71. Relative Stability of Amides Esters Anhydrides and Acyl Chlorides
72. Amide Formation from Acyl Chloride
73. Aldol Reaction
Videos to help understand the bailout.
1. Bailout 1: Liquidity vs. Solvency
3. Bailout 3: Book value vs. market value
4. Bailout 4: Mark-to-model vs. mark-to-market
5. Bailout 5: Paying off the debt
6. Bailout 6: Getting an equity infusion
7. Bailout 7: Bank goes into bankruptcy
11. Bailout 11: Why these CDOs could be worth nothing
12. Bailout 12: Lone Star Transaction
13. Bailout 14: Possible Solution
14. Bailout 15: More on the solution
Projectile motion, mechanics and electricity and magnetism. Solid understanding of algebra and a basic understanding of trigonometry necessary.
1. Introduction to Vectors and Scalars
2. Calculating Average Velocity or Speed
4. Displacement from Time and Velocity Example
5. Acceleration
6. Newton's First Law of Motion
7. Newton's Second Law of Motion
8. Newton's Third Law of Motion
10. Airbus A380 Take-off Distance
11. Why Distance is Area under Velocity-Time Line
12. Average Velocity for Constant Acceleration
13. Acceleration of Aircraft Carrier Takeoff
14. Race Cars with Constant Speed Around Curve
16. Mass and Weight Clarification
17. Gravity for Astronauts in Orbit
18. Would a Brick or Feather Fall Faster
19. Deriving Displacement as a Function of Time, Acceleration and Initial Velocity
20. Plotting Projectile Displacement, Acceleration, and Velocity
21. Projectile Height Given Time
22. Deriving Max Projectile Displacement Given Time
23. Impact Velocity From Given Height
24. Visualizing Vectors in 2 Dimensions
26. Different Way to Determine Time in Air
27. Launching and Landing on Different Elevations
28. Total Displacement for Projectile
29. Total Final Velocity for Projectile
30. Correction to Total Final Velocity for Projectile
32. Unit Vectors and Engineering Notation
33. Clearing the Green Monster at Fenway
34. Green Monster at Fenway Part 2
35. Optimal angle for a projectile part 1
36. Optimal angle for a projectile part 2 - Hangtime
37. Optimal angle for a projectile part 3 - Horizontal distance as a function of angle (and speed)
38. Optimal angle for a projectile part 4 Finding the optimal angle and distance with a bit of calculus
39. Normal Force and Contact Force
40. Normal Force in an Elevator
41. Inclined Plane Force Components
42. Ice Accelerating Down an Incline
43. Force of Friction Keeping the Block Stationary
44. Correction to Force of Friction Keeping the Block Stationary
45. Force of Friction Keeping Velocity Constant
46. Intuition on Static and Kinetic Friction Comparisons
47. Static and Kinetic Friction Example
49. Tension (part 2)
50. Tension in an accelerating system and pie in the face
51. Moving pulley problem (part 1)
52. Moving pulley problem (part 2)
54. Momentum: Ice skater throws a ball
55. 2-dimensional momentum problem
56. 2-dimensional momentum problem (part 2)
57. Introduction to work and energy
60. Work/Energy problem with Friction
61. Introduction to mechanical advantage
62. Mechanical Advantage (part 2)
63. Mechanical Advantage (part 3)
64. Center of Mass
66. Moments
67. Moments (part 2)
69. Unit Vector Notation (part 2)
70. Projectile Motion with Unit Vectors
71. Projectile Motion with Unit Vectors (part 2)
72. Projectile Motion with Ordered Set Notation
73. Introduction to centripetal acceleration (part 1)
74. Centripetal Acceleration (part 2)
75. Centripetal Acceleration (part 3)
77. Calculus Proof that a=v^2/r
78. Introduction to angular velocity
79. Conservation of angular momemtum
80. Introduction to Newton's Law of Gravitation
82. Intro to springs and Hooke's Law
83. Potential energy stored in a spring
84. Spring potential energy example (mistake in math)
85. Introduction to Harmonic Motion
86. Harmonic Motion Part 2 (calculus)
87. Harmonic Motion Part 3 (no calculus)
88. Fluids (part 1)
89. Fluids (part 2)
90. Fluids (part 3)
91. Fluids (part 4)
92. Fluids (part 5)
93. Fluids (part 6)
94. Fluids (part 7)
95. Fluids (part 8)
96. Fluids (part 9)
97. Fluids (part 10)
98. Fluids (part 11)
99. Fluids (part 12)
105. Electrostatics (part 1): Introduction to Charge and Coulomb's Law
107. Proof (Advanced): Field from infinite plate (part 1)
108. Proof (Advanced): Field from infinite plate (part 2)
109. Electric Potential Energy
110. Electric Potential Energy (part 2-- involves calculus)
111. Voltage
112. Capacitance
113. Circuits (part 1)
114. Circuits (part 2)
115. Circuits (part 3)
116. Circuits (part 4)
117. Cross product 1
118. Cross Product 2
120. Introduction to Magnetism
121. Magnetism 2
122. Magnetism 3
123. Magnetism 4
124. Magnetism 5
125. Magnetism 6: Magnetic field due to current
126. Magnetism 7
127. Magnetism 8
128. Magnetism 9: Electric Motors
129. Magnetism 10: Electric Motors
130. Magnetism 11: Electric Motors
131. Magnetism 12: Induced Current in a Wire
132. The dot product
134. Calculating dot and cross products with unit vector notation
136. Amplitude, Period, Frequency and Wavelength of Periodic Waves
137. Introduction to the Doppler Effect
138. Doppler effect formula for observed frequency
139. Doppler effect formula when source is moving away
140. When the source and the wave move at the same velocity
141. Mach Numbers
142. Specular and Diffuse Reflection
143. Specular and Diffuse Reflection 2
144. Refraction and Snell's Law
145. Refraction in Water
148. Total Internal Reflection
149. Virtual Image
150. Parabolic Mirrors and Real Images
151. Parabolic Mirrors 2
153. Convex Lenses
154. Convex Lens Examples
155. Concave Lenses
156. Object Image and Focal Distance Relationship (Proof of Formula)
157. Object Image Height and Distance Relationship
Videos on pre-algebra. Should be ready for the "Algebra" playlist if you understand everything here.
1. Negative Numbers Introduction
2. Adding/Subtracting negative numbers
3. Multiplying and dividing negative numbers
4. Adding and subtracting fractions
7. Introduction to Order of Operations
8. More Complicated Order of Operations Example
12. Negative Exponent Intuition
16. Introduction to Logarithms
17. Unit conversion
19. Introduction to logarithm properties
20. Introduction to logarithm properties (part 2)
22. Scientific Notation Examples
23. Introduction to Ratios (new HD version)
24. Unit Conversion Example: Drug Dosage
25. Common Divisibility Examples
26. Binary Numbers
27. Binary, Decimal and Hexadecimal Number Systems
28. Number Base Conversion Practice
30. More on Significant Figures
31. Multiplying and Dividing with Significant Figures
32. Addition and Subtraction with Significant Figures
33. Pure Numbers and Significant Digits
Non-trigonometry pre-calculus topics. Solid understanding of all of the topics in the "Algebra" playlist should make this playlist pretty digestible.
1. Introduction to Limits (HD)
6. Limit Examples w/ brain malfunction on first prob (part 4)
9. More Limits
10. Sequences and Series (part 1)
11. Sequences and series (part 2)
12. Permutations
13. Combinations
19. Introduction to compound interest and e
20. Compound Interest and e (part 2)
21. Compound Interest and e (part 3)
22. Compound Interest and e (part 4)
31. Introduction to Function Inverses
32. Function Inverse Example 1
33. Function Inverses Example 2
34. Function Inverses Example 3
36. Exponential form to find complex roots
39. Complex Determinant Example
42. Vi and Sal Explore How We Think About Scale
43. Vi and Sal Talk About the Mysteries of Benford's Law
44. Benford's Law Explanation (Sequel to Mysteries of Benford's Law)
Basic probability. Should have a reasonable grounding in basic algebra before watching.
2. Probability with Playing Cards and Venn Diagrams
3. Addition Rule for Probability
4. Probability 1 Module Examples
5. Compound Probability of Independent Events
7. Frequency Probability and Unfair Coins
8. Getting Exactly Two Heads (Combinatorics)
9. Exactly Three Heads in Five Flips
10. Generalizing with Binomial Coefficients (bit advanced)
16. Dependent Probability Example 1
17. Dependent Probability Example 2
20. Permutations
21. Combinations
22. Probability using Combinations
23. Probability and Combinations (part 2)
24. Conditional Probability and Combinations
25. Birthday Probability Problem
26. Introduction to Random Variables
27. Probability Density Functions
33. Expected Value of Binomial Distribution
37. Term Life Insurance and Death Probability
I am going to work through every problem in the College Board "Official SAT Study Guide." You should take the practice tests on your own, grade them and then use these videos to understand the problems you didn't get or review. Have fun!
1. SAT prep: test 1 section3 part 1
2. SAT Prep: Test 1 Section 3 Part 2
3. SAT Prep: Test 1 Section 3 Part 3
4. SAT Prep: Test 1 Section 3 Part 4
5. SAT Prep: Test 1 Section 3 Part 5
6. SAT Prep: Test 1 Section 3 Part 6
7. SAT Prep: Test 1 Section 3 Part 7
8. SAT Prep: Test 1 Section 3 Part 8
9. SAT Prep: Test 1 Section 6 Part 1
10. SAT Prep: Test 1 Section 6 Part 2
11. SAT Prep: Test 1 Section 6 Part 3
12. SAT Prep: Test 1 Section 6 Part 4
13. SAT Prep: Test 1 Section 6 Part 5
14. SAT Prep: Test 1 Section 6 Part 6
15. SAT Prep: Test 1 Section 9 Part 1
16. SAT Prep: Test 1 Section 9 Part 2
17. SAT Prep: Test 1 Section 9 Part 3
18. SAT Prep: Test 1 Section 9 Part 4
19. SAT Prep: Test 1 Section 9 Part 5
20. SAT Prep: Test 2 Section 3 part 1
21. SAT Prep: Test 2 Section 3 Part 2
22. SAT Prep: Test 2 Section 3 Part 3
23. SAT Prep: Test 2 Section 3 Part 4
24. SAT Prep: Test 2 Section 3 Part 5
25. SAT Prep: Test 2 Section 3 Part 6
26. SAT Prep: Test 2 Section 6 Part 1
27. SAT Prep: Test 2 Section 6 Part 2
28. SAT Prep: Test 2 Section 6 Part 3
29. SAT Prep: Test 2 Section 6 Part 4
30. SAT Prep: Test 2 Section 6 Part 5
31. SAT Prep: Test 2 Section 6 Part 6
32. SAT Prep: Test 2 Section 9 Part 1
33. SAT Prep: Test 2 Section 9 Part 2
34. SAT Prep: Test 2 Section 9 Part 3
35. SAT Prep: Test 2 Section 9 Part 4
36. SAT Prep: Test 3 Section 2 Part 1
37. SAT Prep: Test 3 Section 2 Part 2
38. SAT Prep: Test 3 Section 2 Part 3
39. SAT Prep: Test 3 Section 2 Part 4
41. SAT Prep: Test 3 Section 4 Part 1
42. SAT Prep: Test 3 Section 4 Part 2
43. SAT Prep: Test 3 Section 4 Part 3
44. SAT Prep: Test 3 Section 4 Part 4
45. SAT Prep: Test 3 Section 4 Part 5
46. SAT Prep: Test 3 Section 8 Part 1
47. SAT Prep: Test 3 Section 8 Part 2
48. SAT Prep: Test 3 Section 8 Part 3
49. SAT Prep: Test 3 Section 8 Part 4
50. SAT Prep: Test 4 Section 2 Part 1
51. SAT Prep: Test 4 Section 2 Part 2
52. SAT Prep: Test 4 Section 2 Part 3
53. SAT Prep: Test 4 Section 2 Part 4
54. SAT Prep: Test 4 Section 2 Part 5
55. SAT Prep: Test 4 Section 2 Part 6
56. SAT Prep: Test 4 Section 4 Part 1
57. SAT Prep: Test 4 Section 4 Part 2
58. SAT Prep: Test 4 Section 4 Part 3
59. SAT Prep: Test 4 Section 4 Part 4
60. SAT Prep: Test 4 Section 8 Part 1
61. SAT Prep: Test 4 Section 8 Part 2
62. SAT Prep: Test 4 Section 8 Part 3
63. SAT Prep: Test 4 Section 8 Part 4
64. SAT Prep: Test 5 Section 3 Part 1
65. SAT Prep: Test 5 Section 3 Part 2
66. SAT Prep: Test 5 Section 3 Part 3
67. SAT Prep: Test 5 Section 3 Part 4
68. SAT Prep: Test 5 Section 3 Part 5
69. SAT Prep: Test 5 Section 3 Part 6
70. SAT Prep: Test 5 Section 7 Part 1
71. SAT Prep: Test 5 Section 7 Part 2
72. SAT Prep: Test 5 Section 7 Part 3
73. SAT Prep: Test 5 Section 7 Part 4
74. SAT Prep: Test 5 Section 7 Part 5
75. SAT Prep: Test 5 Section 7 Part 6
76. SAT Prep: Test 5 Section 9 Part 1
77. SAT Prep: Test 5 Section 9 Part 2
78. SAT Prep: Test 5 Section 9 Part 3
79. SAT Prep: Test 5 Section 9 Part 4
80. SAT Prep: Test 6 Section 3 Part 1
81. SAT Prep: Test 6 Section 3 Part 2
82. SAT Prep: Test 6 Section 3 Part 3
83. SAT Prep: Test 6 Section 3 Part 4
84. SAT Prep: Test 6 Section 3 Part 5
85. SAT Prep: Test 6 Section 7 Part 1
86. SAT Prep: Test 6 Section 7 Part 2
87. SAT Prep: Test 6 Section 7 Part 3
88. SAT Prep: Test 6 Section 7 Part 4
89. SAT Prep: Test 6 Section 7 Part 5
90. SAT Prep: Test 6 Section 7 Part 6
91. SAT Prep: Test 6 Section 9 Part 1
92. SAT Prep: Test 6 Section 9 Part 2
93. SAT Prep: Test 6 Section 9 Part 3
94. SAT Prep: Test 6 Section 9 Part 4
95. SAT Prep: Test 7 Section 2 Part 1
96. SAT Prep: Test 7 Section 2 Part 2
97. SAT Prep: Test 7 Section 2 Part 3
98. SAT Prep: Test 7 Section 2 Part 4
99. SAT Prep: Test 7 Section 5 Part 1
100. SAT Prep: Test 7 Section 5 Part 2
101. SAT Prep: Test 7 Section 5 Part 3
102. SAT Prep: Test 7 Section 5 Part 4
103. SAT Prep: Test 7 Section 5 Part 5
104. SAT Prep: Test 7 Section 8 Part 1
105. SAT Prep: Test 7 Section 8 Part 2
106. SAT Prep: Test 7 Section 8 Part 3
107. SAT Prep: Test 7 Section 8 Part 4
108. SAT Prep: Test 8 Section 2 Part 1
109. SAT Prep: Test 8 Section 2 Part 2
110. SAT Prep: Test 8 Section 2 Part 3
111. SAT Prep: Test 8 Section 2 Part 4
112. SAT Prep: Test 8 Section 5 Part 1
113. SAT Prep: Test 8 Section 5 Part 2
114. SAT Prep: Test 8 Section 5 Part 3
115. SAT Prep: Test 8 Section 5 Part 4
116. SAT Prep: Test 8 Section 8 Part 1
117. SAT Prep: Test 8 Section 8 Part 2
118. SAT Prep: Test 8 Section 8 Part 3
Singapore Math
We will (eventually)do all of the lectures in the Singapore Math curriculum (which we like). You can follow along through the workbooks available at singaporemath.com
1. Singapore Math: Grade 3a, Unit 1 (part 1)
2. Singapore Math: Grade 3a Unit 1 (part 2)
3. Singapore Math: Grade 3a, Unit 1 (part 3)
4. Singapore Math: Grade 3a, Unit 1 (part 4)
5. Singapore Math: Grade 3a, Unit 1 (part 5)
6. Singapore Math: Grade 3a, Unit 1 (part 6)
7. Singapore Math: Grade 3a, Unit 1 (part 7)
8. Singapore Math: Grade 3a, Unit 1 (part 8)
9. Singapore Math: Grade 3a, Unit 1 (part 9)
10. Singapore Math: Grade 3a Unit 2 (part 1)
11. Singapore Math: Grade 3a Unit 2 (part 2)
12. Singapore Math: Grade 3a Unit 2 (part 3)
13. Singapore Math: Grade 3a Unit 2 (part 4)
14. Singapore Math: Grade 3a Unit 2 (part 5)
15. Singapore Math: Grade 3a Unit 2 (part 6)
16. Singapore Math: Grade 3a Unit 2 (part 7)
17. Singapore Math: Grade 3a Unit 2 (part 8)
18. Singapore Math: Grade 3a Unit 2 (part 9)
19. Singapore Math: Grade 3a Unit 2 (part 10)
20. Singapore Math: Grade 3a Unit 2 (part 11)
Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course (not there yet!)
2. Statistics: Sample vs. Population Mean
3. Statistics: Variance of a Population
4. Statistics: Sample Variance
5. Statistics: Standard Deviation
6. Statistics: Alternate Variance Formulas
7. Introduction to Random Variables
8. Probability Density Functions
14. Expected Value of Binomial Distribution
18. Normal Distribution Excel Exercise
19. Introduction to the Normal Distribution
20. ck12.org Normal Distribution Problems: Qualitative sense of normal distributions
21. ck12.org Normal Distribution Problems: z-score
22. ck12.org Normal Distribution Problems: Empirical Rule
23. ck12.org Exercise: Standard Normal Distribution and the Empirical Rule
24. ck12.org: More Empirical Rule and Z-score practice
26. Sampling Distribution of the Sample Mean
27. Sampling Distribution of the Sample Mean 2
28. Standard Error of the Mean
29. Sampling Distribution Example Problem
31. Mean and Variance of Bernoulli Distribution Example
32. Bernoulli Distribution Mean and Variance Formulas
35. Confidence Interval Example
36. Small Sample Size Confidence Intervals
37. Hypothesis Testing and P-values
38. One-Tailed and Two-Tailed Tests
39. Z-statistics vs. T-statistics
40. Type 1 Errors
41. Small Sample Hypothesis Test
42. T-Statistic Confidence Interval
43. Large Sample Proportion Hypothesis Testing
44. Variance of Differences of Random Variables
45. Difference of Sample Means Distribution
46. Confidence Interval of Difference of Means
47. Clarification of Confidence Interval of Difference of Means
48. Hypothesis Test for Difference of Means
49. Comparing Population Proportions 1
50. Comparing Population Proportions 2
51. Hypothesis Test Comparing Population Proportions
52. Squared Error of Regression Line
53. Proof (Part 1) Minimizing Squared Error to Regression Line
54. Proof (Part 3) Minimizing Squared Error to Regression Line
55. Proof (Part 4) Minimizing Squared Error to Regression Line
57. Proof Part 2 Minimizing Squared Error to Line
58. R-Squared or Coefficient of Determination
61. Covariance and the Regression Line
62. Chi-Square Distribution Introduction
63. Pearson's Chi Square Test (Goodness of Fit)
64. Contingency Table Chi-Square Test
65. ANOVA 1 - Calculating SST (Total Sum of Squares)
66. ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi
67. ANOVA 3 -Hypothesis Test with F-Statistic
Videos on trigonometry. Watch the "Geometry" playlist first if you have trouble understanding the topics covered here.
5. Using Trig Functions Part II
6. The unit circle definition of trigonometric function
7. Unit Circle Definition of Trig Functions
11. More trig graphs
12. Determining the equation of a trigonometric function
14. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
15. Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
16. Trig identities part 2 (parr 4 if you watch the proofs)
17. Trig identies part 3 (part 5 if you watch the proofs)
18. Trigonometry word problems (part 1)
19. Trigonometry word problems (part 2)
20. Law of cosines
24. Ferris Wheel Trig Problem (part 2)
25. Fun Trig Problem
29. Inverse Trig Functions: Arcsin
30. Inverse Trig Functions: Arctan
31. Inverse Trig Functions: Arccos
32. Trigonometry Identity Review/Fun
33. Tau versus Pi
34. IIT JEE Trigonometry Problem 1
35. IIT JEE Trigonometric Maximum
36. IIT JEE Trigonometric Constraints
37. Trigonometric System Example
38. 2003 AIME II Problem 11.avi
1. Building blocks and case studies on the financial analysis and valuation of public equities.
2. Price and Market Capitalization
3. Introduction to the Income Statement
5. Introduction to the Price-to-Earnings Ratio
9. Depreciation
10. Amortization
11. P/E Conundrum
12. Enterprise Value
13. EBITDA
Venture Capital and Capital Markets
All of the sources of funding (capital) for a business.
1. Raising money for a startup
2. Getting a seed round from a VC
3. Going back to the till: Series B
4. An IPO
5. More on IPOs
8. Chapter 7:Bankruptcy Liquidation
9. Chapter 11: Bankruptcy Restructuring
Select problems from ck12.org's Algebra 1 FlexBook (Open Source Textbook). This is a good playlist to review if you want to make sure you have a good understanding of all of the major topics in Algebra I.
5. Domain and Range of a Function
7. Word Problem Solving Plan 1
8. Word Problem Solving Strategies
9. Integers and Rational Numbers
10. Addition of Rational Numbers
11. Subraction of Rational Numbers
12. Multiplication of Rational Numbers
14. Division of Rational Numbers
15. Square Roots and Real Numbers
16. Problem Solving Word Problems 2
20. Equations with Variables on Both Sides
22. Scale and Indirect Measurement
23. Percent Problems
27. Graphs of Linear Equations
29. Graphs Using Slope-Intercept Form
33. Linear Equations in Slope Intercept Form
34. Linear Equations in Point Slope Form
35. Linear Equations in Standard Form
36. Equations of Parallel and Perpendicular Lines
38. Predicting with Linear Models
40. Inequalities Using Addition and Subtraction
41. Inequalities Using Multiplication and Division
45. Absolute Value Inequalities
47. Solving Linear Systems by Graphing
48. Solving Linear Systems by Substitution
49. Solving Systems of Equations by Elimination
50. Solving Systems of Equations by Multiplication
51. Special Types of Linear Systems
52. Systems of Linear Inequalities
53. Exponent Properties Involving Products
54. Exponent Properties Involving Quotients
55. Zero, Negative, and Fractional Exponents
57. Exponential Growth Functions
58. Exponential Decay Functions
59. Geometric Sequences (Introduction)
60. Word Problem Solving- Exponential Growth and Decay
61. Addition and Subtraction of Polynomials
62. Multiplication of Polynomials
63. Special Products of Binomials
64. Polynomial Equations in Factored Form
65. Factoring Quadratic Expressions
66. Factoring Special Products
67. Factor by Grouping and Factoring Completely
68. Graphs of Quadratic Functions
69. Solving Quadratic Equations by Graphing
70. Solving Quadratic Equations by Square Roots
71. Solving Quadratic Equations by Completing the Square
72. Using the Quadratic Formula
73. Proof of Quadratic Formula
74. Discriminant of Quadratic Equations
75. Linear, Quadratic, and Exponential Models
76. Identifying Quadratic Models
77. Identifying Exponential Models
79. Graphs of Square Root Functions
80. Radical Expressions with Higher Roots
81. More Simplifying Radical Expressions
82. How to Rationalize a Denominator
83. Extraneous Solutions to Radical Equations
85. More Involved Radical Equation Example
87. Distance Formula
88. Midpoint Formula
89. Visual Pythagorean Theorem Proof
90. Average or Central Tendency: Arithmetic Mean, Median, and Mode
91. Range, Variance and Standard Deviation as Measures of Dispersion
93. Histograms
95. Proportionality
96. Asymptotes of Rational Functions
97. Another Rational Function Graph Example
98. A Third Example of Graphing a Rational Function
100. Simplifying Rational Expressions
101. Multiplying and Dividing Rational Expressions
102. Adding Rational Expressions Example 1
103. Adding Rational Expressions Example 2
104. Adding Rational Expressions Example 3
105. Solving Rational Equations
106. Two more examples of solving rational equations
107. Surveys and Samples
