Free Online Lectures and Courses for Mathematics
40 Courses
-
Introduction to Probability and Statistics
-
Statistics 20: Introduction to Probability and Statistics (1 of 34)
-
Statistics 20: Introduction to Probability and Statistics (2 of 34)
-
Statistics 20: Introduction to Probability and Statistics (3 of 34)
-
Statistics 20: Introduction to Probability and Statistics (4 of 34)
-
Statistics 20: Introduction to Probability and Statistics (5 of 34)
-
Statistics 20: Introduction to Probability and Statistics (6 of 34)
-
Statistics 20: Introduction to Probability and Statistics (7 of 34)
-
Statistics 20: Introduction to Probability and Statistics (8 of 34)
-
Statistics 20: Introduction to Probability and Statistics (9 of 34)
-
Statistics 20: Introduction to Probability and Statistics (10 of 34)
-
Statistics 20: Introduction to Probability and Statistics (11 of 34)
-
Statistics 20: Introduction to Probability and Statistics (12 of 34)
-
Statistics 20: Introduction to Probability and Statistics (13 of 34)
-
Statistics 20: Introduction to Probability and Statistics (14 of 34)
-
Statistics 20: Introduction to Probability and Statistics (15 of 34)
-
Statistics 20: Introduction to Probability and Statistics (16 of 34)
-
Statistics 20: Introduction to Probability and Statistics (17 of 34)
-
Statistics 20: Introduction to Probability and Statistics (18 of 34)
-
Statistics 20: Introduction to Probability and Statistics (19 of 34)
-
Statistics 20: Introduction to Probability and Statistics (20 of 34)
-
Statistics 20: Introduction to Probability and Statistics (21 of 34)
-
Statistics 20: Introduction to Probability and Statistics (22 of 34)
-
Statistics 20: Introduction to Probability and Statistics (23 of 34)
-
Statistics 20: Introduction to Probability and Statistics (24 of 34)
-
Statistics 20: Introduction to Probability and Statistics (25 of 34)
-
Statistics 20: Introduction to Probability and Statistics (26 of 34)
-
Statistics 20: Introduction to Probability and Statistics (27 of 34)
-
Statistics 20: Introduction to Probability and Statistics (28 of 34)
-
Statistics 20: Introduction to Probability and Statistics (29 of 34)
-
Statistics 20: Introduction to Probability and Statistics (30 of 34)
-
Statistics 20: Introduction to Probability and Statistics (31 of 34)
-
Statistics 20: Introduction to Probability and Statistics (32 of 34)
-
Statistics 20: Introduction to Probability and Statistics (33 of 34)
-
Statistics 20: Introduction to Probability and Statistics (34 of 34)
-
-
Introductory Probability and Statistics for Business
-
Statistics 21 (1 of 25)
-
Statistics 21 (2 of 25)
-
Statistics 21 (3 of 25)
-
Statistics 21 (4 of 25)
-
Statistics 21 (5 of 25)
-
Statistics 21 (6 of 25)
-
Statistics 21 (7 of 25)
-
Statistics 21 (8 of 25)
-
Statistics 21 (9 of 25)
-
Statistics 21 (10 of 25)
-
Statistics 21 (11 of 25)
-
Statistics 21 (12 of 25)
-
Statistics 21 (13 of 25)
-
Statistics 21 (14 of 25)
-
Statistics 21 (15 of 25)
-
Statistics 21 (16 of 25)
-
Statistics 21 (17 of 25)
-
Statistics 21 (18 of 25)
-
Statistics 21 (19 of 25)
-
Statistics 21 (20 of 25)
-
Statistics 21 (21 of 25)
-
Statistics 21 (22 of 25)
-
Statistics 21 (23 of 25)
-
Statistics 21 (24 of 25)
-
Statistics 21 (25 of 25)
-
-
Linear Algebra
-
The Geometry of Linear Equations
-
Elimination with Matrices
-
Multiplication and Inverse Matrices
-
Factorization into A = LU
-
Transposes, Permutations, Spaces R^n
-
Column Space and Nullspace
-
Solving Ax = 0: Pivot Variables, Special Solutions
-
Solving Ax = b: Row Reduced Form R
-
Independence, Basis, and Dimension
-
The Four Fundamental Subspaces
-
Matrix Spaces; Rank 1; Small World Graphs
-
Graphs, Networks, Incidence Matrices
-
Quiz 1 Review
-
Orthogonal Vectors and Subspaces
-
Projections onto Subspaces
-
Projection Matrices and Least Squares
-
Orthogonal Matrices and Gram-Schmidt
-
Properties of Determinants
-
Determinant Formulas and Cofactors
-
Cramer's Rule, Inverse Matrix, and Volume
-
Eigenvalues and Eigenvectors
-
Diagonalization and Powers of A
-
Differential Equations and exp(At)
-
Markov Matrices; Fourier Series
-
Quiz 2 Review
-
Symmetric Matrices and Positive Definiteness
-
Complex Matrices; Fast Fourier Transform
-
Positive Definite Matrices and Minima
-
Similar Matrices and Jordan Form
-
Singular Value Decomposition
-
Linear Transformations and Their Matrices
-
Change of Basis; Image Compression
-
Quiz 3 Review
-
Left and Right Inverses; Pseudoinverse
-
Final Course Review
-
-
Linear Algebra
-
The Span of a Set of Vectors
-
Determinants to Find the Area of a Polygon
-
Determinants to Find the Area of a Triangle
-
Determinant of a 2 x 2 Matrix - A Few Basic Questions
-
Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example 1
-
Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example 2
-
Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example 3
-
Cramer's Rule to Solve a System of 3 Linear Equations - Example 1
-
Cramer's Rule to Solve a System of 3 Linear Equations - Example 2
-
Using Gauss-Jordan to Solve a System of Three Linear Equations - Example 1
-
Using Gauss-Jordan to Solve a System of Three Linear Equations - Example 2
-
Solving a 3 x 3 System of Equations Using the Inverse
-
Solving a Dependent System of Linear Equations involving 3 Variables
-
Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition - Example 1
-
Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition - Example 2
-
Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition - Example 3
-
Solving a System of Equations Involving 3 Variables Using Elimination by Addition - Example 1
-
Solving a System of Equations Involving 3 Variables Using Elimination by Addition - Example 2
-
Solving a System of Equations Involving 3 Variables Using Elimination by Addition - Example 3
-
Finding the Determinant of a 3 x 3 matrix
-
Row Reducing a Matrix - Systems of Linear Equations - Part 1
-
Row Reducing a Matrix - Systems of Linear Equations - Part 2
-
Solving Systems of Equations Using Elimination By Addition
-
Multiplying Matrices - Example 1
-
Matrix Operations
-
An Introduction to the Dot Product
-
Sketching Sums and Differences of Vectors
-
Word Problems Involving Velocity or Other Forces (Vectors), Ex 1
-
Word Problems Involving Velocity or Other Forces (Vectors), Ex 2
-
Word Problems Involving Velocity or Other Forces (Vectors), Ex 3.
-
Finding a Unit Vector, Ex 1
-
Finding a Unit Vector, Ex 2
-
Finding the Components of a Vector, Ex 1
-
Finding the Components of a Vector, Ex 2
-
Vector Addition and Scalar Multiplication, Example 1
-
Vector Addition and Scalar Multiplication, Example 2
-
Magnitude and Direction of a Vector, Example 1
-
Magnitude and Direction of a Vector, Example 2
-
Magnitude and Direction of a Vector, Example 3
-
When Are Two Vectors Considered to Be the Same?
-
An Introduction to Vectors, Part 1
-
Finding the Vector Equation of a Line
-
Vector Basics - Algebraic Representations
-
Vector Basics - Algebraic Representations Part 2
-
Vector Basics - Drawing Vectors/ Vector Addition
-
Vectors - The Dot Product
-
Vectors - Finding Magnitude or Length
-
Linear Independence and Linear Dependence, Ex 1
-
Linear Independence and Linear Dependence, Ex 2
-
Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 1
-
Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part 2
-
Useful Things to Remember About Linearly Independent Vectors
-
Basis for a Set of Vectors
-
Procedure to Find a Basis for a Set of Vectors
-
Linear Transformations , Example 1, Part 1 of 2
-
Linear Transformations , Example 1, Part 2 of 2
-
-
Math and Probability for Life Sciences
-
Introduction: Probability and Counting
-
Probability Functions
-
Permutations
-
Probability Functions (continued)
-
Conditional Probability
-
Conditional Probability (continued)
-
Independent Events
-
Random Variables
-
Expected Values
-
Binomial Distributions
-
Midterm Review
-
Multinomial Distributions
-
Geometric Distributions
-
Poisson Distributions
-
Poisson Distributions (continued)
-
Density Function
-
Exponential Distributions
-
Normal Distributions
-
Normal Distributions (continued)
-
Standard Normal Distributions
-
Central Limit Theorem
-
Hitstogram Correction
-
Midterm Review 2
-
Analyzing Data in Probability
-
Analyzing Data in Probability (continued)
-
Limit Theorems
-
Limit Theorems (continued)
-
Course Review
-
-
Mathematical Methods for Engineers II
-
Difference Methods for Ordinary Differential Equations
-
Finite Differences, Accuracy, Stability, Convergence
-
The One-way Wave Equation and CFL / von Neumann Stability
-
Comparison of Methods for the Wave Equation
-
Second-order Wave Equation (including leapfrog)
-
Wave Profiles, Heat Equation / Point Source
-
Finite Differences for the Heat Equation
-
Convection-Diffusion / Conservation Laws
-
Conservation Laws / Analysis / Shocks
-
Shocks and Fans from Point Source
-
Level Set Method
-
Matrices in Difference Equations (1D, 2D, 3D)
-
Elimination with Reordering: Sparse Matrices
-
Financial Mathematics / Black-Scholes Equation
-
Iterative Methods and Preconditioners
-
General Methods for Sparse Systems
-
Multigrid Methods
-
Krylov Methods / Multigrid Continued
-
Conjugate Gradient Method
-
Fast Poisson Solver
-
Optimization with constraints
-
Weighted Least Squares
-
Calculus of Variations / Weak Form
-
Error Estimates / Projections
-
Saddle Points / Inf-sup condition
-
Two Squares / Equality Constraint Bu = d
-
Regularization by Penalty Term
-
Linear Programming and Duality
-
Duality Puzzle / Inverse Problem / Integral Equations
-
-
Multivariable Calculus
-
Areas and Lengths in Polar Coordinates
-
Vectors, Dot Product
-
Cross Product, Determinant
-
Lines and Planes
-
Cylinders and Quadric Surfaces
-
Vector-Valued Functions and Space Curves
-
Functions of Several Variables
-
Limits and Continuity
-
Partial Derivatives
-
Tangent Planes and Linear Approximations
-
The Chain Rule
-
Directional Derivatives and the Gradient Vector
-
Maxima and Minima
-
More Maxima and Minima; Lagrange Multipliers
-
Midterm Review
-
More Lagrange Multipliers
-
Double Integrals Over Rectangles
-
Double Integrals over General Regions
-
Double Integrals in Polar Coordinates
-
Applications of Double Integrals
-
Triple Integrals
-
Triple Integrals in Cylindrical Coordinates
-
Triple Integrals in Spherical Coordinates
-
Change of Variables, Jacobians
-
More Change of Variables and Jacobians
-
-
Multivariable Calculus
-
Dot Product
-
Determinants; Cross Product
-
Matrices; Inverse Matrices
-
Square Systems; Equations of Planes
-
Parametric Equations for Lines and Curves
-
Velocity, Acceleration - Kepler's Second Law
-
Review: Vectors and Matrices
-
Level Curves; Partial Derivatives; Tangent Plane Approximation
-
Max-Min Problems; Least Squares
-
Second Derivative Test; Boundaries and Infinity
-
Differentials; Chain Rule
-
Gradient; Directional Derivative; Tangent Plane
-
Lagrange Multipliers
-
Non-Independent Variables
-
Partial Differential Equations; Review
-
Double Integrals
-
Double Integrals in Polar Coordinates; Applications
-
Change of Variables
-
Vector Fields and Line Integrals in the Plane
-
Path Independence and Conservative Fields
-
Gradient Fields and Potential Functions
-
Green's Theorem
-
Flux; Normal Form of Green's Theorem
-
Simply Connected Regions; Review
-
Triple Integrals in Rectangular and Cylindrical Coordinates
-
Spherical Coordinates; Surface Area
-
Vector Fields in 3D; Surface Integrals and Flux
-
Divergence Theorem
-
Divergence Theorem (continued): Applications and Proof
-
Line Integrals in Space, Curl, Exactness and Potentials
-
Stokes' Theorem
-
Stokes' Theorem (continued); Review
-
Topological Considerations - Maxwell's Equations
-
Multivariable Calculus Final Review
-
Multivariable Calculus Final Review (continued)
-
-
Multivariable Calculus
-
The Cross Product
-
Finding the Scalar Equation of a Plane
-
Torque - An Application of the Cross Product
-
Finding the Point Where a Line Intersects a Plane
-
Finding the Domain of a Vector Function
-
Finding the Limit of a Vector Function
-
The Arc Length of a Vector Function
-
Multivariable Calculus: Showing a Limit Does NOT Exist
-
Multivariable Calculus: Finding and Sketching the Domain
-
Finding Partial Derviatives
-
Calculus: Higher Order Partial Derivatives
-
Tangent Plane Approximations
-
General Chain Rule - Part 1
-
General Chain Rule - Part 2
-
MultiVariable Calculus - Implicit Function Theorem
-
MultiVariable Calculus - Implicit Differentiation
-
MultiVariable Calculus - Implicit Differentiation - Ex 2
-
Finding the Directional Derivative
-
The Gradient Vector - Notation and Definition
-
Local Maximum and Minimum Values/ Function of Two Variables
-
Local Maximum and Minimum Values -Function of Two Variables
-
Vector Functions: Position, Velocity, Acceleration Word Problem, Ex 1
-
Smooth Vector Functions, Ex 1
-
Smooth Vector Functions, Ex 2
-
Unit Tangent Vector at a Given Point
-
Derivative of a Vector Function - Another Ex 1
-
Finding the Limit of a Vector Function - Another Ex 1
-
Finding the Limit of a Vector Function - Another Ex 2
-
Deciding if Lines Coincide, Are Skew, Are Parallel or Intersect in 3D
-
Parametric Equations of Line Passing Through a Point
-
Orthogonal Projections - Scalar and Vector Projections
-
Triple Integrals, Changing the Order of Integration, Part 1 of 3
-
Triple Integrals, Changing the Order of Integration, Part 2 of 3
-
Triple Integrals, Changing the Order of Integration, Part 3 of 3
-
-
Pre-Algebra
-
Adding/Subtracting Negative Numbers
-
Adding and Subtracting Fractions
-
Multiplying Fractions
-
Dividing Fractions
-
Introduction to Order of Operations
-
More Complicated Order of Operations
-
Level 1 Exponents
-
Level 2 Exponents
-
Level 3 Exponents
-
Negative Exponent Intuition
-
Exponent Rules Part 1
-
Exponent Rules Part 2
-
Simplifying Radicals
-
Introduction to Logarithms
-
Unit Conversion
-
Speed Translation
-
Introduction to Logarithm Properties
-
Scientific Notation
-
Scientific Notation Examples
-
Unit Conversion Example: Drug Dosage
-