MIT OpenCourseWare

Browse materialsMIT 18.02 · Fall 2007

Multivariable Calculus

Subjects: Algebra · Calculus · Linear Algebra · Mathematics

Art: Max Brückner (1860 – 1934), Brückner Vielflache Tafel 07 · Public domain

Instructor: Prof. Denis Auroux
Term: Fall 2007
Level: Undergraduate
What's inside: 35 videos · 12 problem sets · 8 exams · 8 solutions · 1 lecture note · 1 reading · 123 other files · 5 web pages
Materials open: Videos here · files on MIT OCW

Other versions of this course

18.02SC · Fall 2010 · Study here
18.02 · Fall 2007 · Study here (this version)
18.02 · Spring 2006 · Study here

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About this course

Source: MIT OpenCourseWare 18.02 Multivariable Calculus, Fall 2007, Prof. Denis Auroux — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 22, 2026. How RedLectern is built.

Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.

Has MIT solutions 14 files in this course are named by MIT as solutions.

Before you start

Prerequisites are not listed here. Check MIT's own syllabus for this course.

How this course was organized

What's here, and what isn't

MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.

Not included here

1 item from the source could not be safely included:

Referenced in a table, but without MIT's own verified order, so it isn't used to claim a sequence.

Materials by section

Grouped by section, as MIT organized them. Not sequenced or ordered.

Readings

38 files in this section

18.02 Supplementary Notes and Problems

38 files

Lecture Notes

14 files

Assignments

13 files

Exams

16 files

Other materials from this course

35 lecture transcripts

35 video transcripts

35 images

MIT OpenCourseWare, Prof. Denis Auroux, 18.02 Multivariable Calculus, Fall 2007.

License: CC BY-NC-SA 4.0 · Edition: Fall 2007 · Open the original course on OCW ↗

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Multivariable Calculus

Before you start

What's here, and what isn't

Not included here

Materials by section

Readings

18.02 Supplementary Notes and Problems

Lecture Notes

Assignments

Exams

Other materials from this course

Lecture 1: Dot Product

Lecture 2: Determinants

Lecture 3: Matrices

Lecture 4: Square Systems

Lecture 5: Parametric Equations

Lecture 6: Kepler's Second Law

Lecture 7: Exam Review

Lecture 8: Partial Derivatives

Lecture 9: Max-Min and Least Squares

Lecture 10: Second Derivative Test

Lecture 11: Chain Rule

Lecture 12: Gradient

Lecture 13: Lagrange Multipliers

Lecture 14: Non-Independent Variables

Lecture 15: Partial Differential Equations

Lecture 16: Double Integrals

Lecture 17: Polar Coordinates

Lecture 18: Change of Variables

Lecture 19: Vector Fields

Lecture 20: Path Independence

Lecture 21: Gradient Fields

Lecture 22: Green's Theorem

Lecture 23: Flux

Lecture 24: Simply Connected Regions

Lecture 25: Triple Integrals

Lecture 26: Spherical Coordinates

Lecture 27: Vector Fields in 3D

Lecture 28: Divergence Theorem

Lecture 29: Divergence Theorem (cont.)

Lecture 30: Line Integrals

Lecture 31: Stokes' Theorem

Lecture 32: Stokes' Theorem (cont.)

Lecture 33: Maxwell's Equations

Lecture 34: Final Review

Lecture 35: Final Review (cont.)