Khan Academy

Salman Khan

Below is a list of the 1400+ links to FREE educational YouTube videos developed by Salman Khan who, before founding the Khan Academy, was the senior research analyst at a Bay Area investment fund. Khan has also held positions in product management at Xerox PARC and Oracle. He received his MBA from Harvard Business School where he was president of the student body. He also holds a Masters in computer science, a B.S. in computer science, and a B.S. in mathematics from MIT where he was president of the Class of 1998.

Khan’s YouTube videos cover a wide range of subjects:  Algebra, Algebra 1, Arithmetic, Banking and Money, Biology, Brain Teasers, Calculus, California Standards Test: Algebra I, California Standards Test: Algebra II, California Standards Test: Geometry, Chemistry, Credit Crisis, Current Economics, Differential Equations, Finance, Geithner Plan, Geometry, History, Linear Algebra, Paulson Bailout, Physics, Pre-Algebra, Pre-Calculus, Probability, Statistics, Trigonometry, Valuation and Investing, and Venture Capital and Capital Markets.

In addition, he has some valuable insights into problem solving for actual test questions in the SAT and GMAT.

[IMPORTANT NOTE:  Using some of the utility programs to download YouTube videos to save them in your PC hard drive–one such FREE utility software is KEEPVID–you save yourself quite a chunk of online time and the occasional woes of waiting for the YouTube video to download while playing.]

New Videos from khanacademy (07/04/2010):

New Videos from khanacademy (06/27/2010):




Algebra 1:

California Standards Test: Algebra I:

California Standards Test: Algebra II:


California Standards Test: Geometry:






Differential Equations:

Linear Algebra:





Banking and Money:


Valuation and Investing:

Venture Capital and Capital Markets:

Current Economics

Credit Crisis:

Geithner Plan:

Paulson Bailout:

Brain Teasers:

Here are the links to the SAT and GMAT Preparation guides:

The following is an alphabetized INDEX of the entire Khan Academy library of YouTube videos:

2 dimensional projectile motion (part 1)
2 dimensional projectile motion (part 2)
2 dimensional projectile motion (part 4)
2-dimensional momentum problem
2-dimensional momentum problem (part 2)
2-dimensional projectile motion (part 3)
2-dimensional projectile motion (part 5)
2nd Order Linear Homogeneous Differential Equations 1
2nd Order Linear Homogeneous Differential Equations 2
2nd Order Linear Homogeneous Differential Equations 3
2nd Order Linear Homogeneous Differential Equations 4
30-60-90 Triangles II
3-D Path Counting Brain Teaser
3-variable linear equations (part 1)
45-45-90 Triangles
A look at a seductive but wrong Gibbs/Spontaneity Proof
A more complicated friction/inclined plane problem
A more formal understanding of functions
A Third Example of Graphing a Rational Function
∫(2^ln x)/x dx Antiderivative Example
Absolute Value and Number Lines
Absolute Value Equation Example
Absolute Value Equations
Absolute Value Inequalities
Acid Base Introduction
Adding and subtracting fractions
Adding Decimals
Adding Rational Expressions Example 1
Adding Rational Expressions Example 2
Adding Rational Expressions Example 3
Adding/Subtracting negative numbers
Addition 2
Addition 3
Addition 4
Addition and Subtraction of Polynomials
Addition of Rational Numbers
Advanced ratio problems
Age word problems 1
Age word problems 2
Age word problems 3
Algebra II: Binomial Expansion and Combinatorics
Algebra II: Binomial Expansions, Geometric Series Sum
Algebra II: Circles and Logarithms
Algebra II: Complex numbers and conjugates
Algebra II: Conic Sections
Algebra II: Functions and Probability
Algebra II: Functions, Combinatorics
Algebra II: Imaginary and Complex Numbers
Algebra II: Logarithms and more
Algebra II: Logarithms Exponential Growth
Algebra II: Mean and Standard Deviation
Algebra II: Probability and Statistics
Algebra II: Quadratics and Shifts
Algebra II: Shifting Quadratic Graphs
Algebra II: Simplifying Polynomials
Algebra: Equation of a line
Algebra: graphing lines 1
Algebra: Linear Equations 1
Algebra: Linear Equations 2
Algebra: Linear Equations 3
Algebra: Linear Equations 4
Algebra: Slope
Algebra: Slope 2
Algebra: Slope 3
Algebra: Slope and Y-intercept intuition
Algebra: Solving Inequalities
Algebraic Long Division
Alien Abduction Brain Teaser

Alternate mental subtraction method
Alternate Solution to Ratio Problem (HD Version)
Amplitude, Period, Frequency and Wavelength of Periodic Waves
An inscribed angle is half of a central angle that subtends the same arc
Anatomy of a muscle cell
Anatomy of a Neuron
Angle Game (part 2)
Angles (part 2)
Angles (part 3)
Angles of parallel lines
Annual Percentage Rate (APR) and Effective APR
Another mass composition problem
Another Percent Word Problem
Another Rational Function Graph Example
Another Stoichiometry Example in a Solution
Another u-subsitution example
AP Calculus BC Exams: 2008 1 a
AP Calculus BC Exams: 2008 1 b&c
AP Calculus BC Exams: 2008 1 c&d
AP Calculus BC Exams: 2008 1 d
Approximating functions with polynomials (part 3)
Area and Perimeter
Area of a circle
Area of Inscribed Equilateral Triangle (some basic trig used)
Asymptotes of Rational Functions
ATP: Adenosine Triphosphate
Average or Central Tendency: Arithmetic Mean, Median, and Mode
B Lymphocytes (B cells)
Bailout 1: Liquidity vs. Solvency
Bailout 1: Liquidity vs. Solvency
Bailout 10: Moral Hazard
Bailout 10: Moral Hazard
Bailout 11: Why these CDOs could be worth nothing
Bailout 11: Why these CDOs could be worth nothing
Bailout 12: Lone Star Transaction
Bailout 12: Lone Star Transaction
Bailout 13: Does the bailout have a chance of working?
Bailout 13: Does the bailout have a chance of working?
Bailout 14: Possible Solution
Bailout 14: Possible Solution
Bailout 15: More on the solution
Bailout 15: More on the solution
Bailout 2: Book Value
Bailout 2: Book Value
Bailout 3: Book value vs. market value
Bailout 3: Book value vs. market value
Bailout 4: Mark-to-model vs. mark-to-market
Bailout 4: Mark-to-model vs. mark-to-market
Bailout 5: Paying off the debt
Bailout 5: Paying off the debt
Bailout 6: Getting an equity infusion
Bailout 6: Getting an equity infusion
Bailout 7: Bank goes into bankruptcy
Bailout 7: Bank goes into bankruptcy
Bailout 8: Systemic Risk
Bailout 8: Systemic Risk
Bailout 9: Paulson’s Plan
Bailout 9: Paulson’s Plan
Balancing Chemical Equations
Banking 1
Banking 1
Banking 10: Introduction to leverage (bad sound)
Banking 11: A reserve bank
Banking 12: Treasuries (government debt)
Banking 13: Open Market Operations
Banking 14: Fed Funds Rate
Banking 15: More on the Fed Funds Rate
Banking 16: Why target rates vs. money supply
Banking 17: What happened to the gold?
Banking 18: Big Picture Discussion
Banking 2: A bank’s income statement
Banking 2: A bank’s income statement
Banking 3: Fractional Reserve Banking
Banking 3: Fractional Reserve Banking
Banking 4: Multiplier effect and the money supply
Banking 4: Multiplier effect and the money supply
Banking 5: Introduction to Bank Notes
Banking 6: Bank Notes and Checks
Banking 7: Giving out loans without giving out gold
Banking 8: Reserve Ratios
Banking 9: More on Reserve Ratios (Bad sound)
Basic Addition
Basic Multiplication
Basic Subtraction
Basic Trigonometry
Basic Trigonometry II
Binomial Distribution 1
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 3
Binomial Distribution 4
Binomial Distribution 4
Binomial Theorem (part 1)
Binomial Theorem (part 2)
Binomial Theorem (part 3)
Birthday Probability Problem
Blue Forehead Room Solution
Boiling Point Elevation and Freezing Point Suppression
Bonds vs. Stocks
Bonds vs. Stocks
Box-and-whisker Plot
Brain Teaser: Blue Forehead Room
C-4 Photosynthesis
CA Algebra I: Completing the Square
CA Algebra I: Factoring Quadratics
CA Algebra I: Functions
CA Algebra I: Graphing Inequalities
CA Algebra I: More Word Problems
CA Algebra I: Number Properties and Absolute Value
CA Algebra I: Quadratic Equation
CA Algebra I: Quadratic Roots
CA Algebra I: Rational Expressions
CA Algebra I: Rational Expressions
CA Algebra I: Simple Logical Arguments
CA Algebra I: Simplifying Expressions
CA Algebra I: Simplifying Expressions
CA Algebra I: Slope and Y-intercept
CA Algebra I: Systems of Inequalities
CA Algebra I: Word Problems
CA Geometry: Area, Circumference, Volume
CA Geometry: Area, Pythagorean Theorem
CA Geometry: Basic Trigonometry
CA Geometry: Circle Area Chords Tangent
CA Geometry: Compass Construction
CA Geometry: Deducing Angle Measures
CA Geometry: deductive reasoning
CA Geometry: Exterior Angles
CA Geometry: More on congruent and similar triangles
CA Geometry: More Proofs
CA Geometry: More Trig
CA Geometry: Proof by Contradiction
CA Geometry: Pythagorean Theorem, Area
CA Geometry: Pythagorean Theorem, Compass Constructions
CA Geometry: Secants and Translations
CA Geometry: Similar Triangles
CA Geometry: Similar Triangles
CA Geometry: Triangles and Parallelograms
CA Standards: Algebra II
CA Standards: Algebra II (Algebraic Division/Multiplication)
Calculating dot and cross products with unit vector notation
Calculus BC 2008 2 a
Calculus BC 2008 2 b &c
Calculus BC 2008 2d
Calculus Graphing with Derivatives Example
Calculus Proof that a=v^2/r
Calculus: Derivative of x^(x^x)
Calculus: Derivatives 1
Calculus: Derivatives 1 (new HD version)
Calculus: Derivatives 2
Calculus: Derivatives 2 (new HD version)
Calculus: Derivatives 2.5 (new HD version)
Calculus: Derivatives 3
Calculus: Derivatives 4: The Chain Rule
Calculus: Derivatives 5
Calculus: Derivatives 6
Calculus: Graphing Using Derivatives
Calculus: Maximum and minimum values on an interval
California Standards Test: Algebra II
California Standards Test: Algebra II (Graphing Inequalities)
CAM Plants
Carnot Cycle and Carnot Engine
Carnot Efficiency 2: Reversing the Cycle
Carnot Efficiency 3: Proving that it is the most efficient
Center of Mass
Central Limit Theorem
Centripetal Acceleration (part 2)
Centripetal Acceleration (part 3)
Chapter 11: Bankruptcy Restructuring
Chapter 11: Bankruptcy Restructuring
Chapter 7:Bankruptcy Liquidation
Chapter 7:Bankruptcy Liquidation
Chilling Water Problem
Chromosomes, Chromatids, Chromatin, etc.
Circles: Radius, Diameter and Circumference
Circuits (part 1)
Circuits (part 2)
Circuits (part 3)
Circuits (part 4)
Circulatory System and the Heart Exercise: Standard Normal Distribution and the Empirical Rule Normal Distribution Problems: Empirical Rule Normal Distribution Problems: Qualitative sense of normal distributions Normal Distribution Problems: z-score More Empirical Rule and Z-score practice
Closed Curve Line Integrals of Conservative Vector Fields
Collateralized Debt Obligation (CDO)
Collateralized Debt Obligation (CDO)
Column Space of a Matrix
Completing the square
Complex Numbers (part 1)
Complex Numbers (part 2)
Complex roots of the characteristic equations 1
Complex roots of the characteristic equations 2
Complex roots of the characteristic equations 3
Compositions of Linear Transformations 1
Compositions of Linear Transformations 2
Compound Inequalities
Compound Interest and e (part 2)
Compound Interest and e (part 2)
Compound Interest and e (part 3)
Compound Interest and e (part 3)
Compound Interest and e (part 4)
Compound Interest and e (part 4)
Conditional Probability and Combinations
Conic Identification 3
Conic Sections: Hyperbolas 2
Conic Sections: Hyperbolas 3
Conic Sections: Intro to Circles
Conic Sections: Intro to Ellipses
Conic Sections: Intro to Hyperbolas
Conjugate Acids and Bases
Conservation of angular momemtum
Conservation of Energy
Converting fractions to decimals
Covalent Networks, Metallic, and Ionic Crystals
CPI Index
Credit Default Swaps
Credit Default Swaps
Credit Default Swaps 2
Credit Default Swaps 2
Cross product 1
Cross Product 2
Cross Product and Torque
Cupcake Economics 2
Cupcake Economics 3
Curl 1
Curl 2
Curl 3
Cytotoxic T Cells
Defining a plane in R3 with a point and normal vector
Defining the angle between vectors
Definite integral with substitution
Definite Integrals (area under a curve) (part III)
Definite Integrals (part 4)
Definite Integrals (part 5)
Definite integrals (part II)
Derivative of a position vector valued function
Derivatives (part 7)
Derivatives (part 8)
Derivatives (part 9)
Determining a Position Vector-Valued Function for a Parametrization of Two Parameters
Determining the equation of a trigonometric function
Determining whether a transformation is onto
Differential of a vector valued function
Diffusion and Osmosis
Dimension of the Column Space or Rank
Dimension of the Null Space or Nullity
Dirac Delta Function
Direct Variation Models
Discriminant of Quadratic Equations
Distance Formula
Distributive Property
Distributive Property of Matrix Products
Divergence 1
Divergence 2
Divergence 3
Dividing decimal
Dividing fractions
Division 1
Division 2
Division 3: More long division and remainder examples
Division of Rational Numbers
Domain and Range of a Function
Domain of a function
Dot and Cross Product Comparison/Intuition
Dot vs. Cross Product
Double Integral 1
Double Integrals 2
Double Integrals 3
Double Integrals 4
Double Integrals 5
Double Integrals 6
Early Train Word Problem
Earnings and EPS
Economics of a Cupcake Factory
Efficiency of a Carnot Engine
Electric Potential Energy
Electric Potential Energy (part 2– involves calculus)
Electron Configurations
Electron Configurations 2
Electron Transport Chain
Electrostatics (part 1): Introduction to Charge and Coulomb’s Law
Electrostatics (part 2)
Electrotonic and Action Potentials
Embryonic Stem Cells
Empirical and Molecular Formulas from Stoichiometry
Enterprise Value
Entropy Intuition
Epsilon Delta Limit Definition 1
Epsilon Delta Limit Definition 2
Equation of a tangent line
Equations and Inequalities
Equations of Parallel and Perpendicular Lines
Equations with Variables on Both Sides
Equity vs. Debt
Equivalent fractions
Evolution Clarification
Exact Equations Example 1
Exact Equations Example 2
Exact Equations Example 3
Exact Equations Intuition 1 (proofy)
Exact Equations Intuition 2 (proofy)
Example of calculating a surface integral part 1
Example of calculating a surface integral part 2
Example of calculating a surface integral part 3
Example of Closed Line Integral of Conservative Field
Example of Finding Reactant Empirical Formula
Example of Solving for a Variable
Expected Value of Binomial Distribution
Expected Value of Binomial Distribution
Expected Value: E(X)
Expected Value: E(X)
Exponent Properties Involving Products
Exponent Properties Involving Quotients
Exponent Rules Part 1
Exponent Rules Part 2
Exponential Decay Formula Proof (can skip, involves Calculus)
Exponential Decay Functions
Exponential Growth
Exponential Growth
Exponential Growth Functions
Expressing a Projection on to a line as a Matrix Vector prod
Extraneous Solutions to Radical Equations
Extreme Derivative Word Problem (advanced)
Factor by Grouping and Factoring Completely
Factoring Quadratic Expressions
Factoring Special Products
Federal Reserve Balance Sheet
Ferris Wheel Trig Problem
Ferris Wheel Trig Problem (part 2)
First Law of Thermodynamics/ Internal Energy
First order homegenous equations
First order homogenous equations 2
Fitting a Line to Data
Fluids (part 1)
Fluids (part 10)
Fluids (part 11)
Fluids (part 12)
Fluids (part 2)
Fluids (part 3)
Fluids (part 4)
Fluids (part 5)
Fluids (part 6)
Fluids (part 7)
Fluids (part 8)
Fluids (part 9)
Foci of a Hyperbola
Foci of an Ellipse
Focus and Directrix of a Parabola 2
Force with Vectors
Forehead Numbers Brain Teaser
Formula from Mass Composition
Fractional Reserve Banking Commentary 1
FRB Commentary 2: Deposit Insurance
FRB Commentary 3: Big Picture
French Revolution (Part 1)
French Revolution (Part 2)
French Revolution (Part 3) – Reign of Terror
French Revolution (Part 4) – The Rise of Napoleon Bonaparte
Friction on an inclined plane
Fun Trig Problem
Functions (part 4)
Functions (Part III)
Functions as Graphs
Functions Part 2
Galvanic Cells
Geithner 5: A better solution
Geithner Plan 2.5
Geithner Plan I
Geithner Plan II
Geithner Plan III
Geithner Plan IV
Geometric Sequences (Introduction)
Geometric series sum to figure out mortgage payments
Getting a seed round from a VC
Getting a seed round from a VC
Gibbs Free Energy and Spontaneity
Gibbs Free Energy Example
GMAT Preparation
Going back to the till: Series B
Going back to the till: Series B
Gradient 1
Gradient of a scalar field
Graph of the sine function
Graphing Inequalities
Graphing trig functions
Graphing Using Intercepts
Graphing with Calculus
Graphs of Linear Equations
Graphs of Quadratic Functions
Graphs of Square Root Functions
Graphs of trig functions
Graphs Using Slope-Intercept Form
Gravitation (part 2)
Greatest Common Divisor
Green’s Theorem Example 1
Green’s Theorem Example 2
Green’s Theorem Proof (part 2)
Green’s Theorem Proof Part 1
Groups of the Periodic Table
Growing by a percentage
Haitian Revolution (Part 1)
Haitian Revolution (Part 2)
Half Equivalence Point
Hardy-Weinberg Principle
Harmonic Motion Part 2 (calculus)
Harmonic Motion Part 3 (no calculus)
Heat of Formation
Helper T Cells
Heron’s Formula
Hess’s Law and Reaction Enthalpy Change
Heterogenous Equilibrium
Home equity loans
Housing Conundrum (part 4)
Housing Conundrum (part 4)
Housing price conundrum (part 2)
Housing price conundrum (part 2)
Housing Price Conundrum (part 3)
Housing Price Conundrum (part 3)
How to Rationalize a Denominator
Hydrogen Peroxide Correction
i and Imaginary numbers
Ideal Gas Equation Example 1
Ideal Gas Equation Example 2
Ideal Gas Equation Example 3
Ideal Gas Equation: PV=nRT
Ideal Gas Example 4
Identifying Conics 1
Identifying Conics 2
Identifying Exponential Models
Identifying Quadratic Models
im(T): Image of a Transformation
Image of a subset under a transformation
Implicit Differentiation
Implicit Differentiation (part 2)
Indefinite integrals (part II)
Indefinite Integration (part 7)
Indefinite Integration (part III)
Indefinite Integration (part IV)
Indefinite Integration (part V)
Inequalities Using Addition and Subtraction
Inequalities Using Multiplication and Division
Inflammatory Response
Inflation & Deflation 3: Obama Stimulus Plan
Inflation, Deflation & Capacity Utilization
Inflation, Deflation & Capacity Utilization 2
Inflection Points and Concavity Intuition
Institutional Roles in Issuing and Processing Credit Cards
Integer sums
Integers and Rational Numbers
Integrals: Trig Substitution 1
Integrals: Trig Substitution 2
Integrals: Trig Substitution 3 (long problem)
Integrating factors 1
Integrating factors 2
Integration by Parts (part 6 of Indefinite Integration)
Intelligent Design and Evolution
Interest (part 2)
Interest (part 2)
Interesting Polynomial Coefficient Problem
Intro to 30-60-90 Triangles
Intro to springs and Hooke’s Law
Introduction to angles
Introduction to angular velocity
Introduction to Balance Sheets
Introduction to Bonds
Introduction to Cellular Respiration
Introduction to centripetal acceleration (part 1)
Introduction to Compound Interest
Introduction to compound interest and e
Introduction to compound interest and e
Introduction to Conic Sections
Introduction to definite integrals
Introduction to differential equations
Introduction to differential equations
Introduction to Evolution and Natural Selection
Introduction to Exponential Decay
Introduction to friction
Introduction to functions
Introduction to Harmonic Motion
Introduction to Heredity
Introduction to interest
Introduction to interest
Introduction to Kinetics
Introduction to Limits
Introduction to Limits
Introduction to logarithm properties
Introduction to logarithm properties (part 2)
Introduction to Logarithms
Introduction to Magnetism
Introduction to matrices
Introduction to mechanical advantage
Introduction to Momentum
Introduction to Mortgage Loans
Introduction to motion
Introduction to motion (part 2)
Introduction to motion (part 3)
Introduction to Newton’s Law of Gravitation
Introduction to Order of Operations
Introduction to Oxidation States
Introduction to Parametrizing a Surface with Two Parameters
Introduction to pH, pOH, and pKw
Introduction to Present Value
Introduction to Projections
Introduction to Random Variables
Introduction to Random Variables
Introduction to rate-of-change problems
Introduction to Ratios
Introduction to Ratios (new HD version)
Introduction to Ratios (new HD version)
Introduction to Tension
Introduction to the atom
Introduction to the Convolution
Introduction to the Income Statement
Introduction to the Line Integral
Introduction to the Normal Distribution
Introduction to the Null Space of a Matrix
Introduction to the Price-to-Earnings Ratio
Introduction to the Pythagorean Theorem
Introduction to the quadratic equation
Introduction to the Surface Integral
Introduction to the yield curve
Introduction to Torque
Introduction to Waves
Introduction to work and energy
Inverse Laplace Examples
Inverse Matrix (part 1)
Inverse Trig Functions: Arccos
Inverse Trig Functions: Arcsin
Inverse Trig Functions: Arctan
Inverting matrices (part 2)
Inverting Matrices (part 3)
Investment vs. Comsumption 2
Investment vs. Consumption 1
Ionic, Covalent, and Metallic Bonds
Keq derivation intuition (can skip; bit mathy)
Keq Intuition (mathy and not necessary to progress)
Khan Academy Vision and Social Return
Krebs / Citric Acid Cycle
Ladder rate-of-change problem
Laplace Transform 1
Laplace Transform 2
Laplace Transform 3 (L{sin(at)})
Laplace Transform 4
Laplace Transform 5
Laplace Transform 6
Laplace Transform of : L{t}
Laplace Transform of t^n: L{t^n}
Laplace Transform of the Dirac Delta Function
Laplace Transform of the Unit Step Function
Laplace Transform solves an equation 2
Laplace Transform to solve an equation
Laplace/Step Function Differential Equation
Lattice Multiplication
Law of cosines
Law of Large Numbers
Law of Large Numbers
Le Chatelier’s Principle
Least Common Multiple
Level 1 Exponents
Level 1 multiplying expressions
Level 2 Addition
Level 2 Exponents
Level 3 exponents
Level 4 division
Level 4 Subtraction
Liar Truthteller Brain Teaser
Light Bulb Switching Brain Teaser
Limit Examples (part 1)
Limit Examples (part 1)
Limit Examples (part 2)
Limit Examples (part 2)
Limit Examples (part3)
Limit Examples (part3)
Limit Examples w/ brain malfunction on first prob (part 4)
Limit Examples w/ brain malfunction on first prob (part 4)
Limiting Reactant Example Problem 1
Lin Alg: A Projection onto a Subspace is a Linear Transforma
Lin Alg: Alternate Basis Tranformation Matrix Example
Lin Alg: Alternate Basis Tranformation Matrix Example Part 2
Lin Alg: Another Example of a Projection Matrix
Lin Alg: Changing coordinate systems to help find a transformation matrix
Lin Alg: Example using orthogonal change-of-basis matrix to find transformation matrix
Lin Alg: Finding projection onto subspace with orthonormal basis example
Lin Alg: Invertible Change of Basis Matrix
Lin Alg: Orthogonal Complement of the Nullspace
Lin Alg: Orthogonal Complement of the Orthogonal Complement
Lin Alg: Orthogonal matrices preserve angles and lengths
Lin Alg: Projections onto subspaces with orthonormal bases
Lin Alg: Representing vectors in Rn using subspace members
Lin Alg: Showing that A-transpose x A is invertible
Lin Alg: Transformation Matrix with Respect to a Basis
Lin Alg: Unique rowspace solution to Ax=b
Lin Alg: Visualizations of Left Nullspace and Rowspace
Line Integral Example 1
Line Integral Example 2 (part 1)
Line Integral Example 2 (part 2)
Line Integrals and Vector Fields
Linear Alg: Projection is closest vector in subspace
Linear Alg: Rowspace Solution to Ax=b example
Linear Alg: Visualizing a projection onto a plane
Linear Algebra: (correction) scalar muliplication of row
Linear Algebra: 3×3 Determinant
Linear Algebra: Another Least Squares Example
Linear Algebra: Basis of a Subspace
Linear Algebra: Change of Basis Matrix
Linear Algebra: Coordinates with Respect to a Basis
Linear Algebra: Coordinates with respect to orthonormal bases
Linear Algebra: Cross Product Introduction
Linear Algebra: Deriving a method for determining inverses
Linear Algebra: Determinant after row operations
Linear Algebra: Determinant and area of a parallelogram
Linear Algebra: Determinant as Scaling Factor
Linear Algebra: Determinant of Transpose
Linear Algebra: Determinant when row is added
Linear Algebra: Determinant when row multiplied by scalar
Linear Algebra: Determinants along other rows/cols
Linear Algebra: dim(V) + dim(orthogonoal complelent of V)=n
Linear Algebra: Duplicate Row Determinant
Linear Algebra: Eigenvalues of a 3×3 matrix
Linear Algebra: Eigenvectors and Eigenspaces for a 3×3 matrix
Linear Algebra: Example of Finding Matrix Inverse
Linear Algebra: Example solving for the eigenvalues of a 2×2 matrix
Linear Algebra: Exploring the solution set of Ax=b
Linear Algebra: Finding Eigenvectors and Eigenspaces example
Linear Algebra: Formula for 2×2 inverse
Linear Algebra: Gram-Schmidt example with 3 basis vectors
Linear Algebra: Gram-Schmidt Process Example
Linear Algebra: Introduction to Eigenvalues and Eigenvectors
Linear Algebra: Introduction to Linear Independence
Linear Algebra: Introduction to Orthonormal Bases
Linear Algebra: Introduction to the inverse of a function
Linear Algebra: Introduction to Vectors
Linear Algebra: Least Squares Approximation
Linear Algebra: Least Squares Examples
Linear Algebra: Matrix condition for one-to-one trans
Linear Algebra: Matrix Product Examples
Linear Algebra: nxn Determinant
Linear Algebra: Orthogonal Complements
Linear Algebra: Parametric Representations of Lines
Linear Algebra: Projections onto Subspaces
Linear Algebra: Proof of formula for determining Eigenvalues
Linear Algebra: Rank(A) = Rank(transpose of A)
Linear Algebra: Rowspace and Left Nullspace
Linear Algebra: Rule of Sarrus of Determinants
Linear Algebra: Showing that an eigenbasis makes for good coordinate systems
Linear Algebra: Showing that Inverses are Linear
Linear Algebra: Simpler 4×4 determinant
Linear Algebra: Simplifying conditions for invertibility
Linear Algebra: Subspace Projection Matrix Example
Linear Algebra: The Gram-Schmidt Process
Linear Algebra: Transpose of a Matrix
Linear Algebra: Transpose of a Vector
Linear Algebra: Transposes of sums and inverses
Linear Algebra: Upper Triangular Determinant
Linear Algebra: Vector Examples
Linear Algebra: Vector Triangle Inequality
Linear Combinations and Span
Linear Equations in Point Slope Form
Linear Equations in Slope Intercept Form
Linear Equations in Standard Form
Linear Function Graphs
Linear Subspaces
Linear Transformation Examples: Rotations in R2
Linear Transformation Examples: Scaling and Reflections
Linear Transformations
Linear Transformations as Matrix Vector Products
Linear, Quadratic, and Exponential Models
Macrostates and Microstates
Magnetism 10: Electric Motors
Magnetism 11: Electric Motors
Magnetism 12: Induced Current in a Wire
Magnetism 2
Magnetism 3
Magnetism 4
Magnetism 5
Magnetism 6: Magnetic field due to current
Magnetism 7
Magnetism 8
Magnetism 9: Electric Motors
Mass on Inclined Plane
Matrices to solve a system of equations
Matrices to solve a vector combination problem
Matrices: Reduced Row Echelon Form 1
Matrices: Reduced Row Echelon Form 2
Matrices: Reduced Row Echelon Form 3
Matrix multiplication (part 1)
Matrix multiplication (part 2)
Matrix Product Associativity
Matrix Vector Products
Matrix Vector Products as Linear Transformations
Maxima Minima Slope Intuition
Maxwell’s Demon
Mean Value Theorem
Mechanical Advantage (part 2)
Mechanical Advantage (part 3)
Midpoint Formula
Mini-Video on Ion Size
Mitosis, Meiosis and Sexual Reproduction
Mixed numbers and improper fractions
Molecular and Empirical Formulas
Moments (part 2)
Momentum: Ice skater throws a ball
Monotonicity Theorem
More advanced ratio problem–with Algebra (HD version)
More chain rule and implicit differentiation intuition
More Complicated Order of Operations Example
More Exponential Decay Examples
More implicit differentiation
More Involved Radical Equation Example
More Laplace Transform tools
More Limits
More Limits
More on balance sheets and equity
More on Entropy
More on Internal Energy
More on IPOs
More on IPOs
More on linear independence
More on Matrix Addition and Scalar Multiplication
More on orbitals and electron configuration
More on Oxidation States
More percent problems
More rigorous Gibbs Free Energy/ Spontaneity Relationship
More Simplifying Radical Expressions
More trig graphs
Mortgage-Backed Securities I
Mortgage-Backed Securities I
Mortgage-backed securities II
Mortgage-backed securities II
Mortgage-backed securities III
Mortgage-backed securities III
Moving pulley problem (part 1)
Moving pulley problem (part 2)
Mulitplication 8: Multiplying decimals (Old video)
Multiplication 2: The Multiplication Tables
Multiplication 3: 10,11,12 times tables
Multiplication 4: 2-digit times 1-digit number
Multiplication 5: 2-digit times a 2-digit number
Multiplication 6: Multiple Digit Numbers

Multiplication 7: Old video giving more examples
Multiplication of Polynomials
Multiplication of Rational Numbers
Multiplying and dividing negative numbers
Multiplying and Dividing Rational Expressions
Multiplying fractions
Multi-Step Equations
Multi-Step Inequalities
Myosin and Actin
Napoleon and the War of the Fourth Coalition
Napoleon and the War of the Third Coalition
Napoleon and the Wars of the First and Second Coalitions
Napoleon Forced to Abdicate
Napoleon’s Peninsular Campaigns
Natural Selection and the Owl Butterfly
Navigation Word Problem
Negative Exponent Intuition
Neuronal Synapses (Chemical)
Newton’s First Law of Motion
Newton’s Laws
Newton’s Laws and vectors
Newton’s Laws Examples (part 2)
Newton’s Laws Problems (part 1)
Newton’s Second Law of Motion
Newton’s Third Law of Motion
Normal Distribution Excel Exercise
Null Space 2: Calculating the null space of a matrix
Null Space 3: Relation to Linear Independence
Null Space and Column Space Basis
Officer on Horseback
One Step Equations
Optimization Example 4
Optimization with Calculus 1
Optimization with Calculus 2
Optimization with Calculus 3
Order of Operations
Ordering numeric expressions
Other Periodic Table Trends
Overtaking Word Problem
Oxidation and Reduction in Cellular Respiration
Oxidation and Reduction Review From Biological Point-of-View
Oxidative Phosphorylation and Chemiosmosis
P/E Conundrum
P/E Discussion
Parabola Focus and Directrix 1
Parametric Equations 1
Parametric Equations 2
Parametric Equations 3
Parametric Equations 4
Parametrization of a Reverse Path
Part 1 of Proof of Heron’s Formula
Part 2 of the Proof of Heron’s Formula
Partial Derivatives
Partial Derivatives 2
Partial Derivatives of Vector-Valued Functions
Partial Fraction Expansion 1
Partial Fraction Expansion 2
Partial Fraction Expansion 3
Partial Pressure
Parts of a cell
Passed Bike Word Problem
Passing Trains
Path Counting Brain Teaser
Path Independence for Line Integrals
Patterns and Equations
Payday Loans
Percent and decimals
Percent Problems
Periodic Table Trends: Ionization Energy
Personal Bankruptcy: Chapters 7 and 13
pH of a Weak Acid
pH of a Weak Base
pH, pOH of Strong Acids and Bases
Phase Diagrams
Phases of Meiosis
Phases of Mitosis
Photosynthesis: Calvin Cycle
Photosynthesis: Light Reactions 1
Photosynthesis: Light Reactions and Photophosphorylation
pKa and pKb Relationship
Poisson Process 1
Poisson Process 1
Poisson Process 2
Poisson Process 2
Polar Coordinates 1
Polar Coordinates 1
Polar Coordinates 2
Polar Coordinates 2
Polar Coordinates 3
Polar Coordinates 3
Polynomial approximation of functions (part 1)
Polynomial approximation of functions (part 2)
Polynomial approximation of functions (part 4)
Polynomial approximation of functions (part 6)
Polynomial approximation of functions (part 7)
Polynomial approximations of functions (part 5)
Polynomial Division
Polynomial Equations in Factored Form
Ponzi Schemes
Position Vector Valued Functions
Potential energy stored in a spring
Predicting with Linear Models
Preimage and Kernel Example
Preimage of a set
Present Value 2
Present Value 3
Present Value 4 (and discounted cash flow)
Price and Market Capitalization
Probability (part 1)
Probability (part 2)
Probability (part 3)
Probability (part 4)
Probability (part 5)
Probability (part 6)
Probability (part 7)
Probability (part 8)
Probability and Combinations (part 2)
Probability Density Functions
Probability Density Functions
Probability using Combinations
Problem Solving Word Problems 2
Professional Antigen Presenting Cells (APC) and MHC II complexes
Projectile motion (part 1)
Projectile motion (part 10)
Projectile motion (part 2)
Projectile motion (part 3)
Projectile motion (part 4)
Projectile motion (part 5)
Projectile motion (part 6)
Projectile motion (part 7)
Projectile motion (part 8)
Projectile motion (part 9)
Projectile Motion with Ordered Set Notation
Projectile Motion with Unit Vectors
Projectile Motion with Unit Vectors (part 2)
Proof (Advanced): Field from infinite plate (part 1)
Proof (Advanced): Field from infinite plate (part 2)
Proof of Quadratic Formula
Proof of the Cauchy-Schwarz Inequality
Proof: A(log B) = log (B^A), log A – log B = log (A/B)
Proof: Any subspace basis has same number of elements
Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
Proof: d/dx(e^x) = e^x
Proof: d/dx(ln x) = 1/x
Proof: d/dx(sqrt(x))
Proof: d/dx(x^n)
Proof: Hyperbola Foci
Proof: Invertibility implies a unique solution to f(x)=y
Proof: Law of Sines
Proof: lim (sin x)/x
Proof: lim (sin x)/x
Proof: log a + log b = log ab
Proof: log_a (B) = (log_x (B))/(log_x (A))
Proof: Relationship between cross product and sin of angle
Proof: S (or Entropy) is a valid state variable
Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
Proof: U=(3/2)PV or U=(3/2)nRT
Proof: Volume Ratios in a Carnot Cycle
Proofs of Derivatives of Ln(x) and e^x
Proving Vector Dot Product Properties
Punnett Square Fun
PV-diagrams and Expansion Work
Pythagorean Theorem
Pythagorean Theorem II
Quadratic Equation part 2
Quadratic Formula (proof)
Quadratic Inequalities
Quadratic Inequalities (Visual Explanation)
Quadratic Regression
Quasistatic and Reversible Processes
Radians and degrees
Radical Equation Examples
Radical Expressions with Higher Roots
Raising money for a startup
Raising money for a startup
Range, Variance and Standard Deviation as Measures of Dispersion
Rates-of-change (part 2)
Ratio and Proportion
Ratio problem with basic algebra (new HD)
Rational Inequalities
Rational Inequalities 2
Reactions in Equilibrium
Reconciling Thermodynamic and State Definitions of Entropy
Red blood cells
Redox Reactions
Relating invertibility to being onto and one-to-one
Relationship between bond prices and interest rates
Renting vs. Buying (detailed analysis)
Renting vs. Buying a home
Renting vs. buying a home (part 2)
Repeated roots of the characterisitic equations part 2
Repeated roots of the characteristic equation
Repurchase Agreements (Repo transactions)
Return on capital
Review of B cells, CD4+ T cells and CD8+ T cells
Right Triangles Inscribed in Circles (Proof)
ROA Discussion 1
ROA Discussion 2
Role of Phagocytes in Innate or Nonspecific Immunity
Role of the Sarcoplasmic Reticulum in Muscle Cells
Rotation in R3 around the X-axis
Roth IRAs
Saltatory Conduction in Neurons
Sampling Distribution of the Sample Mean
Sampling Distribution of the Sample Mean 2
SAT Preparation
Scalar Field Line Integral Independent of Path Direction
Scale and Indirect Measurement
Scientific Notation
Scientific Notation
Scientific Notation Examples
Second Example of Line Integral of Conservative Vector Field
Secondary Active Transport in the Nephron
Separable Differential Equations
Separable differential equations 2
Sequences and Series (part 1)
Sequences and Series (part 1)
Sequences and series (part 2)
Sequences and series (part 2)
Sex-Linked Traits
Showing relation between basis cols and pivot cols
Showing that the candidate basis does span C(A)
Similar triangles
Similar triangles (part 2)
Simple Analysis of Cost per Job Saved from Stimulus
Simplifying radicals
Simplifying Rational Expressions
Singular Matrices
Slope and Rate of Change
Slope and Y-intercept Intuition
Sodium Potassium Pump
Solid of Revolution (part 1)
Solid of Revolution (part 2)
Solid of Revolution (part 3)
Solid of Revolution (part 4)
Solid of Revolution (part 5)
Solid of Revolution (part 6)
Solid of Revolution (part 7)
Solid of Revolution (part 8)
Solving 3 Equations with 3 Unknowns
Solving a quadratic by factoring
Solving Linear Systems by Graphing
Solving Linear Systems by Substitution
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by Graphing
Solving Quadratic Equations by Square Roots
Solving Rational Equations
Solving Systems of Equations by Elimination
Solving Systems of Equations by Multiplication
Span and Linear Independence Example
Special Products of Binomials
Special Types of Linear Systems
Specific Heat, Heat of Fusion and Vaporization
Speed translation
Spring potential energy example (mistake in math)
Square Roots and Real Numbers
Squeeze Theorem
Squeeze Theorem
Standard Error of the Mean
States of Matter
States of Matter Follow-Up
Statistics: Alternate Variance Formulas
Statistics: Sample Variance
Statistics: Sample vs. Population Mean
Statistics: Standard Deviation
Statistics: The Average
Statistics: Variance of a Population
Stem and Leaf Plots
Stoichiometry Example Problem 1
Stoichiometry Example Problem 2
Stoichiometry of a Reaction in Solution
Stoichiometry: Limiting Reagent
Strong Acid Titration
Subraction of Rational Numbers
Subtracting decimals
Subtraction 2
Subtraction 3: Introduction to Borrowing or Regrouping
Sums and Scalar Multiples of Linear Transformations
Surjective (onto) and Injective (one-to-one) functions
Surveys and Samples
Suspensions, Colloids and Solutions
systems of equations
Systems of Linear Inequalities
Taking percentages
Taylor Polynomials
Tension (part 2)
Tension in an accelerating system and pie in the face
The Angle Game
The Convolution and the Laplace Transform
The Coordinate Plane
The Discount Rate
The dot product
The housing price conundrum
The housing price conundrum
The Indefinite Integral or Anti-derivative
The Kidney and Nephron
The Lungs and Pulmonary System
The Mole and Avogadro’s Number
The Rule of 72 for Compound Interest
The unit circle definition of trigonometric function
Thermodynamic Entropy Definition Clarification
Thermodynamics (part 1)
Thermodynamics (part 2)
Thermodynamics (part 3)
Thermodynamics (part 4)
Thermodynamics (part 5)
Titration Roundup
Toggler Brain Teaser
Traditional IRAs
Trig identies part 3 (part 5 if you watch the proofs)
Trig identities part 2 (parr 4 if you watch the proofs)
Trig Implicit Differentiation Example
Trigonometric Identities
Trigonometry Identity Review/Fun
Trigonometry word problems (part 1)
Trigonometry word problems (part 2)
Triple Integrals 1
Triple Integrals 2
Triple Integrals 3
Tropomyosin and troponin and their role in regulating muscle contraction
Two more examples of solving rational equations
Two Passing Bicycles Word Problem
Two-Step Equations
Types of Decay
Types of immune responses: Innate and Adaptive. Humoral vs. Cell-Mediated
Undetermined Coefficients 1
Undetermined Coefficients 2
Undetermined Coefficients 3
Undetermined Coefficients 4
Unemployment Rate Primer
Unit Circle Definition of Trig Functions
Unit conversion
Unit Conversion Example: Drug Dosage
Unit Vector Notation
Unit Vector Notation (part 2)
Unit Vectors
Using a line integral to find the work done by a vector field example
Using a Linear Model
Using the Convolution Theorem to Solve an Initial Value Prob
Using the Laplace Transform to solve a nonhomogenous eq
Using the Quadratic Formula
Using Trig Functions
Using Trig Functions Part II
Valence Electrons
Van Der Waals Forces
Vapor Pressure
Variable Expressions
Variation in a Species
Vector Dot Product and Vector Length
Vector Field Line Integrals Dependent on Path Direction
Vector Transformations
Vector valued function derivative example
Visual Proof: a= v^2/r
Visual Pythagorean Theorem Proof
Visualizing a Column Space as a Plane in R3
Weak Acid Titration
Wealth Destruction 1
Wealth Destruction 1
Wealth Destruction 2
Wealth Destruction 2
What it means to buy a company’s stock
Why borrowing works
Why Lattice Multiplication Works
Word Problem Solving 3
Word Problem Solving 4
Word Problem Solving- Exponential Growth and Decay
Word Problem Solving Plan 1
Word Problem Solving Strategies
Work and Energy (part 2)
Work Done by Isothermic Process
Work from Expansion
Work/Energy problem with Friction
Zero, Negative, and Fractional Exponents


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