Calculus Revisited: Multivariable Calculus

MIT OCW - Calculus Revisited: Multivariable Calculus (Res.18-007). This consists of 26 video lectures taught by Professor Herbert Gross, on a study of the calculus of functions of several variables (vector arithmetic and vector calculus). Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Multivariable Calculus is the second course in the series, consisting of 26 videos, 4 Study Guides, and a set of Supplementary Notes. The series was first released in 1971 as a way for people to review the essentials of calculus. It is equally valuable for students who are learning calculus for the first time. (from ocw.mit.edu)

Part I - Vector Arithmetic (6) P3Lec 4 - The Chain Rule
P1Lec 1 - The "Game" of Mathematics P3Lec 5 - Integrals Involving Parameters
P1Lec 2 - "Arrow" Arithmetic P3Lec 6 - Exact Differentials
P1Lec 3 - Three-Dimensional Vectors Part IV - Matrix Algebra (5)
P1Lec 4 - The Dot Product P4Lec 1 - Linearity Revisited
P1Lec 5 - The Cross Product P4Lec 2 - The "Game" of Matrices
P1Lec 6 - Equations of Lines & Planes P4Lec 3 - Inverting a Matrix
Part II - Vector Calculus (4) P4Lec 4 - Inverting More General Systems of Equations
P2Lec 1 - Vector Functions of a Scalar Variable P4Lec 5 - Maxima and Minima in Several Variables
P2Lec 2 - Tangential & Normal Vectors Part V - Multiple Integration (5)
P2Lec 3 - Polar Coordinates P5Lec 1 - Double Multiple Sums
P2Lec 4 - Vectors in Polar Coordinates P5Lec 2 - The Fundamental Theorem
Part III - Partial Derivatives (6) P5Lec 3 - Multiple Integration and the Jacobian
P3Lec 1 - n-Dimensional Vector Spaces P5Lec 4 - Introduction to Line Integrals
P3Lec 2 - Calculus of Several Variables P5Lec 5 - Green's Theorem
P3Lec 3 - Directional Derivatives


Web.. Calculus Revisited: Multivariable Calculus
Instructor: Professor Herbert Gross. Lecture Notes. Assignments and Solutions. This course is a study of the calculus of functions of several variables (vector arithmetic and vector calculus).
ocw.mit.edu/resources/res-18-007-calculus-revisited-multivariable-calculus-fall-2011/