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...

Professor Ronald Brent The University of Massachusetts Lowell Fall 2007

New Jersey Institute of Technology

New Jersey Institute of Technology

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...

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...

North Carolina State University streaming video lessons

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...

Professor Ronald Brent, Spring 2007

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.

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....

University of California

Department of Mathematics, University of Houston

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

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.

Fall Quarter 2005

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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