Multivariable Calculus (MIT 18.02) - Video lectures 2007
Denis Auroux

@article{,
title= {Multivariable Calculus (MIT 18.02) - Video lectures 2007},
journal= {},
author= {Denis Auroux},
year= {2007},
url= {https://ocw.mit.edu/18-02F07},
abstract= {This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

**Main course URL:** https://ocw.mit.edu/18-02F07

---

**Prerequisites**:
* Single Variable Calculus (MIT 18.01) - [Video Lectures](https://academictorrents.com/details/c38ec459fd87f1672e917634addba301ad26b248) and [Worked Examples](https://academictorrents.com/details/6ed053c563f13e01a3526bd8b359810a9ea6a9ca)

**Related materials:**
* [Multivariable Calculus (MIT 18.02) - Worked examples 2010](https://academictorrents.com/details/28a30bdd9a6859622e87e04ffb9eb4a9810bdf77)

---

**Table of contents:**

* Unit 1: Vectors and Matrices
  * Lecture 01: Dot product
  * Lecture 02: Determinants; cross product
  * Lecture 03: Matrices; inverse matrices
  * Lecture 04: Square systems; equations of planes
  * Lecture 05: Parametric equations for lines and curves
  * Lecture 06: Velocity, acceleration; Kepler's second law
  * Lecture 07: Review


* Unit 2: Partial Derivatives
  * Lecture 08: Level curves; partial derivatives; tangent plane approximation
  * Lecture 09: Max-min problems; least squares
  * Lecture 10: Second derivative test; boundaries and infinity
  * Lecture 11: Differentials; chain rule
  * Lecture 12: Gradient; directional derivative; tangent plane
  * Lecture 13: Lagrange multipliers
  * Lecture 14: Non-independent variables
  * Lecture 15: Partial differential equations; review


* Unit 3: Double Integrals and Line Integrals in the Plane
  * Lecture 16: Double integrals
  * Lecture 17: Double integrals in polar coordinates; applications
  * Lecture 18: Change of variables
  * Lecture 19: Vector fields and line integrals in the plane
  * Lecture 20: Path independence and conservative fields
  * Lecture 21: Gradient fields and potential functions
  * Lecture 22: Green's theorem
  * Lecture 23: Flux; normal form of Green's theorem
  * Lecture 24: Simply connected regions; review


* Unit 4: Triple Integrals and Surface Integrals in 3-Space
  * Lecture 25: Triple integrals in rectangular and cylindrical coordinates
  * Lecture 26: Spherical coordinates; surface area
  * Lecture 27: Vector fields in 3D; surface integrals and flux
  * Lecture 28: Divergence theorem
  * Lecture 29: Divergence theorem (cont.): applications and proof
  * Lecture 30: Line integrals in space, curl, exactness and potentials
  * Lecture 31: Stokes' theorem
  * Lecture 32: Stokes' theorem (cont.)
  * Lecture 33: Topological considerations; Maxwell's equations
  * Lecture 34: Final review
  * Lecture 35: Final review (cont.)

---

This content hosted at the Internet Archive at https://archive.org/details/MIT18.02F07
Files may have changed, which prevents torrents from downloading correctly or completely; please check for an updated torrent at https://archive.org/download/MIT18.02F07/MIT18.02F07_archive.torrent
Note: retrieval usually requires a client that supports webseeding (GetRight style).
Note: many Internet Archive torrents contain a 'pad file' directory. This directory and the files within it may be erased once retrieval completes.
Note: the file MIT18.02F07_meta.xml contains metadata about this torrent's contents.},
keywords= {Math, Maths, mathematics, calculus},
terms= {https://ocw.mit.edu/terms},
license= {http://creativecommons.org/licenses/by-nc-sa/3.0/},
superseded= {}
}