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Sample Math Video: We have enhanced videos made by Sal Khan hoping to make them more useful with human interaction, and filling up any gap in the learning process. However, 200% credit goes to Sal for making them at the first place, and keeping them free.

Probability

Basic probability.

Basic Probability
Probability with Playing Cards and Venn Diagrams
Addition Rule for Probability
Probability 1 Module Examples
Compound Probability of Independent Events
Getting At Least One Heads
Frequency Probability and Unfair Coins
Getting Exactly Two Heads (Combinatorics)
Exactly Three Heads in Five Flips
Generalizing with Binomial Coefficients (bit advanced)
Probability (part 2)
Probability (part 3)
Probability (part 4)
Probability (part 5)
Probability (part 6)
Dependent Probability Example 1
Dependent Probability Example 2
Probability (part 7)
Probability (part 8)
Permutations
Combinations
Probability using Combinations
Probability and Combinations (part 2)
Conditional Probability and Combinations
Birthday Probability Problem
Introduction to Random Variables
Probability Density Functions
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Expected Value: E(X)
Expected Value of Binomial Distribution
Poisson Process 1
Poisson Process 2
Law of Large Numbers
Term Life Insurance and Death Probability

Statistics

Introduction to statistics...

Statistics: The Average
Statistics: Sample vs. Population Mean
Statistics: Variance of a Population
Statistics: Sample Variance
Statistics: Standard Deviation
Statistics: Alternate Variance Formulas
Introduction to Random Variables
Probability Density Functions
Binomial Distribution 1
Binomial Distribution 2
Binomial Distribution 3
Binomial Distribution 4
Expected Value: E(X)
Expected Value of Binomial Distribution
Poisson Process 1
Poisson Process 2
Law of Large Numbers
Normal Distribution Excel Exercise
Introduction to the Normal Distribution
Central Limit Theorem
Sampling Distribution of the Sample Mean
Sampling Distribution of the Sample Mean 2
Standard Error of the Mean
Sampling Distribution Example Problem
Confidence Interval 1
Mean and Variance of Bernoulli Distribution Example
Bernoulli Distribution Mean and Variance Formulas
Margin of Error 1
Margin of Error 2
Confidence Interval Example
Small Sample Size Confidence Intervals
Hypothesis Testing and P-values
One-Tailed and Two-Tailed Tests
Z-statistics vs. T-statistics
Type 1 Errors
Small Sample Hypothesis Test
T-Statistic Confidence Interval
Large Sample Proportion Hypothesis Testing
Variance of Differences of Random Variables
Difference of Sample Means Distribution
Confidence Interval of Difference of Means
Clarification of Confidence Interval of Difference of Means
Hypothesis Test for Difference of Means
Comparing Population Proportions 1
Comparing Population Proportions 2
Hypothesis Test Comparing Population Proportions
Squared Error of Regression Line
Proof (Part 1) Minimizing Squared Error to Regression Line
Proof (Part 3) Minimizing Squared Error to Regression Line
Proof (Part 4) Minimizing Squared Error to Regression Line
Regression Line Example
Proof Part 2 Minimizing Squared Error to Line
R-Squared or Coefficient of Determination
Second Regression Example
Calculating R-Squared
Covariance and the Regression Line
Chi-Square Distribution Introduction
Pearson's Chi Square Test (Goodness of Fit)
Contingency Table Chi-Square Test
Correlation and Causality


Arithmetic

Here are the most basic math playlists. Start watching the videos if you think your knowledge of math fundamentals is not up-to-the-mark.
Once you complete watching the playlist, you should be ready for the pre-algebra playlist.

Basic Addition
Addition1
Addition 2
Level 2 Addition
Addition 3
Addition 4
Addition word problem 1
Addition word problem 2
Addition word problem 3
Long Addition
Long addition with decimal
Basic Subtraction
Subtraction 2
Subtraction 3: Introduction to Borrowing or Regrouping
Alternate mental subtraction method
Why borrowing works
Level 4 Subtraction
Long subtraction
Long subtraction with decimal
Addition-Subtracrtion combined 1
Addition-Subtracrtion combined 2
Addition-Subtracrtion combined 3
Add-Subtract Combi word problem 1
Subtraction word problem 1
Subtraction word problem 2
Adding Decimals
Addition of decimals 1
Addition of decimals 2
Subtracting decimals
Basic Multiplication
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
Mulitplication 8: Multiplying decimals (Old video)
Lattice Multiplication
Why Lattice Multiplication Works
Long multiplication
Multiplication with multiples of 10
Multiplication word problem 1
Multiplication word problem 2
Multiplication word problem 3
Multiplication word problem 4
Multiplication word problem 5
Multiplication word problem 6
Multiplication word problem 7
Multiplication word problem 8
Multiplication word problem 9
Division 1
Division-1
Division 2
Division-2
Division 3
Division 3: More long division and remainder examples
Level 4 division
Converting fractions to decimals
Long division
Division word problem 1
Division word problem 2
Division word problem 3
Division word problem 4
Division word problem 5
Express in terms of 10
Fill in-add1
Fill in-subtract1
Fill in-subtract2
Fill in-subtract3
Find dividend
Find greater no. given the sum & difference of 2 no.s
Find req no. in division
Find smaller no. given the sum & difference of 2 no.s
Find the value 1
Percent and decimals
Dividing decimal
Division of decimals 1
Division of decimals 2
Division of decimals 3
Ordering numeric expressions
Greatest Common Divisor
Least Common Multiple
Equivalent fractions
Mixed numbers and improper fractions
Conversion-feet to inches,
meters,miles,yards
Conversion-gram to kg,lbs,ounces
Conversion-inch to feet,meters,miles,yards
Conversion-kilometers to miles,meters
Conversion-meter to feet,inches
Use of brackets
Squaring a given no. 1
Squaring a given no. 2
Conversion-miles to feet,kilometers,yards
Conversion-ounces to grams,tons
Conversion-pounds to grams,ounces,tons
Conversion-yards to feets,inches,miles,meters
Prove formula
Addition of fraction
Convert decimal into fraction
Convert fractions into decimals
Decimal as a fraction
Divide a mixed no. by 10
Division by fraction problem
Division by fraction
Division of fractional no.s
Equivalent fraction
Express mixed no. as a fraction
Fraction subtraction
Fractional no.
Common Factor and Highest Common Factor
HCF of fractions 1
HCF of fractions 2
LCM and HCF of fractions
LCM of 12,18,20 and 105
LCM of 42 and 72
LCM of fractions
LCM problem
Mixed no. addition
Multiplication of decimals 1
Multiplication of decimals 2
Multiplication of decimals 3
Multiplication of decimals 4
Multiplication of decimals 5
Multiplication of fractional no.s
Multiply fraction by a whole no.
Multiply fractions
Problems using unitary method 1
Problems using unitary method 2
Problems using unitary method 3
Problems using unitary method 4
Reciprocal of a fraction
Recurring decimals
Recurring decimals as a fraction
Reduce by cancelling to their lowest terms
Reduce the fraction into lowest no 1
Reduce to equivalent fractions
Reduce to whole or mixed no.
Show fractions
Simplification of factors
Simplification of complex fraction
Simplify - fractions 1
Simplify complex fraction
Simplify continued fraction
Simplify decimal no.s 1
Subract a mixed no. from a whole no.
Subtraction of decimals 1
Subtraction of mixed no.s
Transform a fraction
Divisibility by 2
Divisibility by 3
Divisibility by 4
Divisibility by 8
Divisibility by 9
Divisibility by 5,25,125
Division with remainder
Find divisor
Factors and multiples
Father son age problem 1
Find GCM
Find least no. to be added
Find remainder
HCF of 18 and 30
HCF of 84,140 and 168
HCF problem 1
HCF using 2nd rule
Prime or not
Prime factors
Prime no. and Composite no.



Pre-algebra

Here are the list of videos on pre-algebra. Once you understand everything here, you should be rady for the "Algebra" playlist.

Adding/Subtracting negative numbers
Multiplying and dividing negative numbers
Adding and subtracting fractions
Multiplying fractions
Dividing fractions
Introduction to Order of Operations
More Complicated Order of Operations Example
Level 1 Exponents
Level 2 Exponents
Level 3 exponents
Negative Exponent Intuition
Exponent Rules Part 1
Exponent Rules Part 2

Pre-Algebra (cont'd)

Simplifying radicals
Introduction to Logarithms
Unit conversion
Speed translation
Introduction to logarithm properties
Introduction to logarithm properties (part 2)
Scientific Notation
Scientific Notation Examples
Introduction to Ratios (new HD version)
Unit Conversion Example: Drug Dosage

Algebra


Solving Equations 1
Solving Equations 2
Solving Equations with the Distributive Property
Solving equations with the distributive property 2
Algebraic Word Problem
Sum of Consecutive Odd Integers
Example of Solving for a Variable
Solving for a Variable 2
Absolute Value 1
Absolute Value and Number Lines
v3 is not rational
v3- v5 is an irrational no.
Sum of rational and irrational numbers cannot be rational
Solve the inequation
Absolute Value Equations 1
Absolute Value Equation Example 2
Patterns in Sequences 1
Patterns in Sequences 2
Equations of Sequence Patterns
Finding the 100th Term in a Sequence
Functional Relationships 1
Testing if a relationship is a function
Domain and Range 1
Domain and Range 2
Direct Variation 1
Basic Rate Problem
Basic Linear Function
Exploring linear relationships
Recognizing Linear Functions
Exploring nonlinear relationships
Slope of a line
Slope Example
X and Y intercepts
X and Y intercepts 2
Graphing a line in slope intercept form
Equation of a line
Converting to slope-intercept form
Point-slope and standard form
Parallel Lines
Parallel Lines 2
Parallel lines 3
Perpendicular Lines
Perpendicular lines 2
Interpreting Inequalities
Solving Inequalities
Inequalities
Absolute value inequalities
Absolute Inequalities 2
Absolute value inequalities 3
Writing and using inequalities
Writing and using inequalities 2
Writing and using inequalities 3
Solving and graphing linear inequalities in two variables
Graphing linear inequalities in two variables
Graphing linear inequalities in two variables
Solving systems by graphing
Solving systems by graphing 2
Solving systems by graphing 3
Solving systems by substitution 1
Solving systems by substitution 2
Solving systems by substitution 3
Solving systems by elimination
Solving systems by elimination 2
Solving systems by elimination 3
Systems and rate problems
Systems and rate problems 2
Systems and rate problems 3
Mixture problems 1
Mixture problems 2
Mixture problems 3
Graphing systems of inequalities
Graphing systems of inequalities 2
Graphing systems of inequalities 3
Exponent Rules 1
Exponent Rules 2
Exponent Rules 3
Scientific notation 1
Scientific notation 2
Scientific notation 3
Simplifying Expressions with Exponents
Simplifying Expressions with Exponents 2
Simplifying Expressions with Exponents 3
Pythagorean Theorem 1
Pythagorean Theorem 2
Simplifying Radical Expressions 1
Simplifying Radical Expressions 2
Simplifying Radical Expressions 3
Solving Radical Equations 1
Solving Radical Equations 2
Solving Radical Equations 3
Applying Radical Equations 1
Applying Radical Equations 2
Applying Radical Equations 3
Fractional Exponent Expressions 1
Fractional Exponent Expressions 2
Multiplying and Dividing Monomials 1
Multiplying and Dividing Monomials 2
Multiplying and Dividing Monomials 3
Polynomials 1
Polynomials 2
Adding and Subtracting Polynomials 1
Adding and Subtracting Polynomials 2
Adding and Subtracting Polynomials 3
Multiplying Polynomials 1
Multiplying Polynomials 2
Multiplying Polynomials 3
Factoring and the Distributive Property
Factoring and the Distributive Property 2
Factoring and the Distributive Property 3
Factoring Trinomials by Grouping 1
Factoring Trinomials by Grouping 2
Factoring Trinomials by Grouping 4
Factoring Trinomials by Grouping 5
Factoring Trinomials by Grouping 6
Factoring Special Products 2
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Factoring 2
Solving Quadratic Equations by Factoring 3
Quadratic Functions 1
Quadratic Functions 2
Quadratic Functions 3
Completing the Square 1
Completing the Square 2
Completing the Square 3
Completing the Square 4
Quadratic Formula 1
Quadratic Formula 2
Quadratic Formula 3
Applying Quadratic Functions 1
Applying Quadratic Functions 2
Applying Quadratic Functions 3
Non-Linear Systems of Equations 1
Non-Linear Systems of Equations 2

Algebra (cont'd)

Non-Linear Systems of Equations 3
Simplifying Rational Expressions 1
Simplifying Rational Expressions 2
Simplifying Rational Expressions 3
Multiplying and Dividing Rational Expressions 1
Multiplying and Dividing Rational Expressions 2
Multiplying and Dividing Rational Expressions 3
Adding and Subtracting Rational Expressions 1
Adding and Subtracting Rational Expressions 2
Adding and Subtracting Rational Expressions 3
Solving Rational Equations 1
Solving Rational Equations 2
Solving Rational Equations 3
Applying Rational Equations 1
Applying Rational Equations 2
Applying Rational Equations 3
Number Sets 1
Number Sets 2
Number Sets 3
Permutations and Combinations 1
Permutations and Combinations 2
Permutations and Combinations 3
Permutations and Combinations 4
Probability of Dependent Events
Probability of Dependent Events 2
Pythagorean Theorem
Distance Formula
Midpoint Formula
Visual Pythagorean Theorem Proof
Proportionality
Introduction to functions
Functions Part 2
Functions (Part III)
Functions (part 4)
Domain of a function
Draw the graph of the function 1
Draw the graph of the function 2
Draw the graph of the function 3
Express the inequation in modulus notation
Function 1
Function 2
Function 3
Function 4
Function 5
Function 6
Function 7
Function 8
Function 9
Function 10
Function 11
Function 12
Function 13
Function 14
Function 15
Function 16
Function 17
Function 18
Function 19
Function 20
Function 21
Function 22
Function 23
Function 24
Function 25
Function 26
Geometrical representaion of inequality 1
Geometrical representaion of inequality 2
Proof: log a + log b = log ab
Proof: A(log B) = log (B^A), log A - log B = log (A/B)
Proof: log_a (B) = (log_x (B))/(log_x (A))
Prove log6 base 3 is an irrational no
Real no s 1


Geometry

Here are the list of videos on geometry. After watching, you will be ready for Trigonometry.

Introduction to angles
Angles (part 2)
Angles (part 3)
Angles formed between transversals and parralel lines
Angles of parallel lines 2
The Angle Game
Similar triangles
Similar triangles (part 2)
Angle Game (part 2)
Area and Perimeter
Circles: Radius, Diameter and Circumference
Area of a circle
The Pythagorean Theorem
Pythagorean Theorem II
45-45-90 Triangles
Intro to 30-60-90 Triangles
30-60-90 Triangles II
Heron's Formula
Part 1 of Proof of Heron's Formula
Part 2 of the Proof of Heron's Formula
An inscribed angle is half of a central angle that subtends the same arc
Area of Inscribed Equilateral Triangle (some basic trig used)
Right Triangles Inscribed in Circles (Proof)
Area of Diagonal Generated Triangles of Rectangle are Equal

California Standards Test: Geometry


CA Geometry: deductive reasoning
CA Geometry: Proof by Contradiction
CA Geometry: More Proofs
CA Geometry: Similar Triangles
CA Geometry: Similar Triangles
CA Geometry: More on cogruent and similar triangles
CA Geometry: Triangles and Parallelograms
CA Geometry: Area, Pythagorean Theorem
CA Geometry: Area, Circumference, Volume
CA Geometry: Pythagorean Theorem, Area
CA Geometry: Exterior Angles
CA Geometry: Deducing Angle Measures
CA Geometry: Pythagorean Theorem, Compass Constructions
CA Geometry: Compass Construction
CA Geometry: Basic Trigonometry
CA Geometry: More Trig
CA Geometry: Circle Area Chords Tangent
CA Geometry: Secants and Translations

Trigonometry

Here are the list of videos on trigonometry. Watch the "Geometry" playlist first, if you find it hard to understand the topics covered here.

Basic Trigonometry
Basic Trigonometry II
Radians and degrees
Using Trig Functions
Using Trig Functions Part II
The unit circle definition of trigonometric function
Unit Circle Definition of Trig Functions
Graph of the sine function
Graphs of trig functions
Graphing trig functions
More trig graphs
Determining the equation of a trigonometric function
Trigonometric Identities
Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
Trig identities part 2 (parr 4 if you watch the proofs)
Trig identies part 3 (part 5 if you watch the proofs)

Trigonometry (cont'd)

Trigonometry word problems (part 1)
Trigonometry word problems (part 2)
Law of cosines
Navigation Word Problem
Proof: Law of Sines
Ferris Wheel Trig Problem
Ferris Wheel Trig Problem (part 2)
Fun Trig Problem
Polar Coordinates 1
Polar Coordinates 2
Polar Coordinates 3
Inverse Trig Functions: Arcsin
Inverse Trig Functions: Arctan
Inverse Trig Functions: Arccos
Trigonometry Identity Review/Fun

Calculus

Introduction to Limits
Limit Examples (part 1)
Limit Examples (part 2)
Limit Examples (part3)
Limit Examples w/ brain malfunction on first prob (part 4)
Prove of limit
Prove using analytical concept of limit
Does the limit exist 1
Does the limit exist 2
Evaluate limit 1
Evaluate limit 2
Limit using fundamental limits theorem 1
Limit using fundamental limits theorem 2
Limit using fundamental limits theorem 3
Limit using fundamental limits theorem 4
Limit using fundamental limits theorem 5
Epsilon Delta Limit Definition 1
Epsilon Delta Limit Definition 2
Calculus: Derivatives 2.5 (new HD version)
Calculus: Derivatives 1
Calculus: Derivatives 2
Calculus: Derivatives 3
Calculus: Derivatives 4: The Chain Rule
Derivatives (part 9)
Proof: d/dx(x^n)
Proof: d/dx(sqrt(x))
Proof: d/dx(ln x) = 1/x
Proof: d/dx(e^x) = e^x
Proofs of Derivatives of Ln(x) and e^x
Extreme Derivative Word Problem (advanced)
Implicit Differentiation
Implicit Differentiation (part 2)
More implicit differentiation
More chain rule and implicit differentiation intuition
Trig Implicit Differentiation Example
Calculus: Derivative of x^(x^x)
Maxima Minima Slope Intuition
Inflection Points and Concavity Intuition
Monotonicity Theorem
Calculus: Maximum and minimum values on an interval
Calculus: Graphing Using Derivatives
Calculus Graphing with Derivatives Example
Graphing with Calculus
Optimization with Calculus 1
Optimization with Calculus 2
Optimization with Calculus 3
Optimization Example 4
Introduction to rate-of-change problems
Equation of a tangent line
Rates-of-change (part 2)
Ladder rate-of-change problem
Mean Value Theorem
The Indefinite Integral or Anti-derivative
Indefinite integrals (part II)
Indefinite Integration (part III)
Indefinite Integration (part IV)
Indefinite Integration (part V)
Integration by Parts (part 6 of Indefinite Integration)
Indefinite Integration (part 7)
Another u-subsitution example
Introduction to definite integrals
Definite integrals (part II)
Definite Integrals (area under a curve) (part III)
Definite Integrals (part 4)
Definite Integrals (part 5)
Definite integral with substitution
Integrals: Trig Substitution 1
Integrals: Trig Substitution 2

Integrals: Trig Substitution 3 (long problem)
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)
Sequences and Series (part 1)
Sequences and series (part 2)
Polynomial approximation of functions (part 1)
Polynomial approximation of functions (part 2)
Approximating functions with polynomials (part 3)
Polynomial approximation of functions (part 4)
Polynomial approximations of functions (part 5)
Polynomial approximation of functions (part 6)
Polynomial approximation of functions (part 7)
Taylor Polynomials
Exponential Growth
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
Calculus BC 2008 2 a
Calculus BC 2008 2 b &c
Calculus BC 2008 2d
Partial Derivatives
Partial Derivatives 2
Gradient 1
Gradient of a scalar field
Divergence 1
Divergence 2
Divergence 3
Curl 1
Curl 2
Curl 3
Double Integral 1
Double Integrals 2
Double Integrals 3
Double Integrals 4
Double Integrals 5
Double Integrals 6
Triple Integrals 1
Triple Integrals 2
Triple Integrals 3
(2^ln x)/x Antiderivative Example
Introduction to the Line Integral
Line Integral Example 1
Line Integral Example 2 (part 1)
Line Integral Example 2 (part 2)
Introduction L'Hopital's Rule
L'Hopital's Rule Example 1
L'Hopital's Rule Example 2
L'Hopital's Rule Example 3
Introduction to the Surface Integral
Parametrizing Surface with Two Parameters
Partial Derivatives Vector Valued Functions
Position Vector Valued Function
Second Line Integral Conservative Vector Field
calculating surface integral part 1
calculating surface integral part 2
calculating surface integral part 3
Closed Line Integral Conservative Field
Green's Theorem Example 1
Green's Theorem Example 2
Green's Theorem Proof Part 1
Green's Theorem Proof Part 2




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