Mathematics


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...

St. Petersburg College  submitted on 18 March, 2008

polynomial, rational and other algebraic functions, their properties and graphs; polynomial and rational inequalities; exponential and logarithmic functions, their properties and graphs; piecewise-defined functions; conic sections; matrices and determinants; sequences and series; mathematical induction; binomial theorem and applications.

Linear Algebra       

MIT OCW Spring '05 Streaming & Downloadable

Linear equations; Multiplication and Inverse matrices; Factorization; Transposes, Permutations, Column and Null space; Pivot Variables; Subspaces; 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...

UC Berkeley fall 2006

Population and variables. Standard measures of location, spread and association. Normal approximation. Regression. Probability and sampling. Binomial distribution. Interval estimation. Some standard significance tests.

MIT OCW Fall '05 Streaming and Downloadable

Positive Definite matrices; Difference and Incidence Matrix; Least Squares; Eigenvalues; Applied linear Algebra; Laplace Equation; Deltafunction 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...

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....

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.

IOWA State University Fall 2005

Georgia Department of Education

Eleven video clips are currently posted on this website

microbiologybytes.com

Descriptive Statistics, The Normal Frequency Distribution, Correlation, Regression, Standard Scores (z Scores), Chi square test etc...

North Carolina State University streaming video lessons

Introduction, Simple Interest, Decision making problems, Exact and Approximate Time, Promissory notes, Bank Discount, Compound interest formulas, Interest for part of a conversion period, Effective rates, Annuities, Amortization, sinking funds, capitalized costs etc...

Southwest Wisconsin Technical College 2007 podacst downloadable

stevetoner.com Spring 2007

Basic Mathematics: adding Fractions, Metric conversion; Introductory & Intermediate Algebra: Factoring, Rational Expressions; College Algebra: System of equations, Conic Sections etc...

North Carolina State University

Matrices, Linear Programming, Simplex Method, Sets and Counting, Probability, Markov chains etc...

Clay Mathematics Institute Summer School 2006

This has more than 60 recorded lectures.

Elementary Statistics      iTunes Software required

Sofia Open Content Initiative

Sampling and Data, Descriptive Statistics, Probability Topics, Discrete Distributions, Continuous Random variables, Normal Distribution. The central limit theorem limit, Confidence Intervals, Hypothesis Testing, single Mean, Single and Two mean Proportion. The Chi-Square Distribution, Linear Regression and Correlation.

Indiana University, Purdue University Indianapolis streaming video lectures

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

Texas A&M University Spring 2004

Lectures by Robert Langlands, Fall 1999 and 2000

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.

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.

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. Antiderivatives, Maxima and Minima, Limits, L’Hospital’s Rule, Continuity, Chain Rule, Rates of change etc....

University of California

Department of Mathematics, University of Houston

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

San Francisco State University, May 2007


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