Tuesday, May 27, 2008


Fundamentals of Algebra

Indiana University, Purdue University Indianapolis streaming video lectures

This Course has 9 Chapters and each chapter has 6 to 9 lessons.

Mathematical video lectures

Prof. Roxanne Byrne, University of Colorado

It has more than 100 short video on Algebra, Limits, Derivatives, Integration, Infinite Series, Finance, Linear Algebra and Differential Equations.

Brief review of Elementary Algebra

Prof. Roxanne Byrne, University of Colorado

It has 18 video lectures on Elementary Algebra. It has both small files and large files for the same topic.

Dr. Goetz's Mathematical Computation Video Archives

San Francisco State University, May 2007

Linear Algebra

MIT Spring '05 Streaming & Downloadable

Linear equations; Multiplication and Inverse matrices; Factorization; Transposes, Permutations, Column and Null space; Pivot Variables; Subspace's; Graph, Incidence Matrices; Orthogonal Vectors, Matrices and Gram-Schmidt ; Cramer’s rule; Eigen values and vectors; Marcov Matrices; Fourier Series; FFT; Linear Transformations; Change of Basis; Image Compression; Left and Right Inverses; Pseudo inverse etc...

Mathematical Methods for Engineers I

MIT Fall '05 Streaming and Downloadable

Positive Definite matrices; Difference and Incidence Matrix; Least Squares; Eigenvalues; Applied linear Algebra; Laplace Equation; Delta function and Green’s Function; Wave and heat equation; Eigen functions; Orthogonalization; Numerical Linear Algebra; RLS and Covariance Matrix; Kalman and Square root Filter; Finite Difference and Finite Element Method; Euler Equation; Fourier Expansions and Convolution; LPF and HPF; Filter Banks; Wavelets etc...

Dovermann's Derive Videos

Dovermann's Derive Videos

Algebraic expressions and Constants, Functions, Basic Graphing, Substituting, Differentiating and Integrating, Limits, Vector function, Iterates, Matrix operations, tangent lines, Euler’s method etc....

The Calculus Lifesaver: All the Tools You Need to Excel at Calculus

Adrian Banner, Princeton University 2007 submitted on 15 April, 2008

Limits: theory and polynomial examples, Continuity, differentiability, Trig integrals, trig substitutions, and summary of integration techniques, Improper integrals, Complex numbers, separable first-order differential equations etc...

Calculus I

Professor Ronald Brent The University of Massachusetts Lowell Fall 2007

Calculus One

New Jersey Institute of Technology

Calculus Two

New Jersey Institute of Technology

Calculus for Life and Management Sciences

North Carolina State University streaming video lessons

Differential Equations, slope, Continuity and differentiability of a curve at a point, limits, derivatives as rate of change, chain rule, natural logarithms, Antidifferentiation, integration, Riemann sums, Definite integrals, Present, future value of a Continuous Stream etc...

Analytic Geometry and Calculus

North Carolina State University streaming video lessons

This is a great list. Vectors, vector algebra, and vector functions. Functions of several variables, partial derivatives, gradients, directional derivatives, maxima and mimima. Multiple integration. Line and surface integrals, Green's Theorem, Divergence Theorems, Stokes' Theorem, and applications etc...

Applied Differential Equations I

North Carolina State University streaming video lessons

Precalculus I

North Carolina State University streaming video lessons

Graphs, properties of functions, Linear functions, Straight line depreciation, supply and demand, Vertical, horizontal shifts, compressions, stretches, Quadratic, Exponential, logarithmic & polynomial functions, Regions bounded by curves, Real zeros, remainder, factor & rational theorems, Algebra, calculus etc...

Calculus I Lectures

Professor Ronald Brent, Spring 2007

Mathematical video lectures

Prof. Roxanne Byrne, University of Colorado

It has more than 100 short video on Algebra, Limits, Derivatives, Integration, Infinite Series, Finance, Linear Algebra and Differential Equations.

Limits, Differential Equations and Applications

San Francisco State University

It is a collection of more than 25 video lectures on various topics. Some of them include Derivatives of Logarithmic, Trigonometric, Polynomial and exponential functions. Anti derivatives, Maxima and Minima, Limits, L’Hospital’s Rule, Continuity, Chain Rule, Rates of change etc....

Calculus and Probability for Life Sciences Students

University of California

Calculus-I Key Concepts

Department of Mathematics, University of Houston

Limits, Differentiation, Applications of the Derivative, the Definite Integral, Applications of the Definite Integral.

Mathematical Methods for Engineers II

MIT Spring '06 Streaming and Downloadable

Difference Methods for Ordinary Differential Equations. Finite Differences, Accuracy, Stability, Convergence .One way Wave equation and CFL/ von Neumann Stability. Second order wave equation, wave profiles, heat equation / point source, Finite differences for heat equation. Convection-diffusion/ conservation laws/ analysis/ shocks. Level Set Method. Matrices in difference equations(1D, 2D, 3D). Sparse Matrices. Black-scholes equation. Iterative, General, Multigrid, Conjugate gradient and Krylov Methods. Fast Poisson solver.Weight least squares, calculus of variations/weak form. Error estimates/ projections and many more....

Differential Equations

MIT Spring '06 Streaming and Downloadable

Topics include: Solution of first-order ODE’s by analytical, graphical and numerical methods; Linear ODE’s, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams.

Integration and Infinite Series

Fall Quarter 2005

Single-variable Calculus

University of Houston 2006

Limits, Graphs, Continuity, Derivatives, Leibniz Notation and Chain Rule, Implicit Differentiation, Rectilinear motion, Newton’s method, Integrals, Curves, Power, Taylor and Maclaurin Theorems etc....

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