Lecture Videos | Multivariable Calculus | Mathematics | MIT OpenCourseWare

Course Info

Instructor

Prof. Denis Auroux

Departments

Mathematics

As Taught In

Fall 2007

Level

Undergraduate

Topics

Mathematics

Learning Resource Types

Lecture Videos

Problem Sets

Exams with Solutions

Lecture Notes

Download Course

Lecture Videos

Lecture 1: Dot Product

Transcript – Lecture 1

Lecture 2: Determinants

Transcript – Lecture 2

Lecture 3: Matrices

Transcript – Lecture 3

Lecture 4: Square Systems

Transcript – Lecture 4

Lecture 5: Parametric Equations

Transcript – Lecture 5

Lecture 6: Kepler's Second Law

Transcript – Lecture 6

Lecture 7: Exam Review

Transcript – Lecture 7

Lecture 8: Partial Derivatives

Transcript – Lecture 8

Lecture 9: Max-Min and Least Squares

Transcript – Lecture 9

Lecture 10: Second Derivative Test

Transcript – Lecture 10

Lecture 11: Chain Rule

Transcript – Lecture 11

Lecture 12: Gradient

Transcript – Lecture 12

Lecture 13: Lagrange Multipliers

Transcript – Lecture 13

Lecture 14: Non-Independent Variables

Transcript – Lecture 14

Lecture 15: Partial Differential Equations

Transcript – Lecture 15

Lecture 16: Double Integrals

Transcript – Lecture 16

Lecture 17: Polar Coordinates

Transcript – Lecture 17

Lecture 18: Change of Variables

Transcript – Lecture 18

Lecture 19: Vector Fields

Transcript – Lecture 19

Lecture 20: Path Independence

Transcript – Lecture 20

Lecture 21: Gradient Fields

Transcript – Lecture 21

Lecture 22: Green's Theorem

Transcript – Lecture 22

Lecture 23: Flux

Transcript – Lecture 23

Lecture 24: Simply Connected Regions

Transcript – Lecture 24

Lecture 25: Triple Integrals

Transcript – Lecture 25

Lecture 26: Spherical Coordinates

Transcript – Lecture 26

Lecture 27: Vector Fields in 3D

Transcript – Lecture 27

Lecture 28: Divergence Theorem

Transcript – Lecture 28

Lecture 29: Divergence Theorem (cont.)

Transcript – Lecture 29

Lecture 30: Line Integrals

Transcript – Lecture 30

Lecture 31: Stokes' Theorem

Transcript – Lecture 31

Lecture 32: Stokes' Theorem (cont.)

Transcript – Lecture 32

Lecture 33: Maxwell's Equations

Transcript – Lecture 33

Lecture 34: Final Review

Transcript – Lecture 34

Lecture 35: Final Review (cont.)

Transcript – Lecture 35

Course Info

Instructor

Prof. Denis Auroux

Departments

Mathematics

As Taught In

Fall 2007

Level

Undergraduate

Topics

Mathematics

Learning Resource Types

Lecture Videos

Problem Sets

Exams with Solutions

Lecture Notes

Download Course

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