Math 13
Multivariable Calculus
Last updated June 27, 2016 13:25:42 EDT

## Syllabus

The following is a tentative syllabus for the course.
Check also the Homework Assignments page.

Lectures Sections in Text Brief Description
3/25 15.1, 15.2 Introduction to integration, iterated integrals
3/27 15.2, 15.3 Fubini's Theorem, integration over non-rectangular regions
3/29 15.4 Integration in polar coordinates
4/1 15.4, 15.5 Integration in polar coordinates, applications of double integrals (no probability or expected values)
4/3 15.7, 15.8 Triple integration, cylindrical coordinates
4/5 15.8, 15.9 Spherical coordinates
4/8 Ch 12 Vectors, dot product, cross product, determinants, planes
4/10 15.10 Change of variables, the Jacobian
4/12 15.10 Change of variables, the Jacobian (continued)
4/15 Ch 12, 13 Projections, vector functions
4/17   Review for the midterm
4/18   Exam 1
4/19 Ch 14 Partial and directional derivatives, gradients, tangent planes
4/22 16.2 Line integrals of scalar functions
4/24   All classes cancelled
4/26 16.1, 16.2 Vector fields, line integrals of vector fields
4/29 16.3 The Fundamental Theorem of Calculus for line integrals
5/1 16.3,16.4 The Fundamental Theorem of Calculus for line integrals (continued), Green's Theorem
5/3 16.4 Green's Theorem (continued)
5/6 16.5 Curl and Divergence
5/8 16.5 Curl and Divergence (continued), Review for the midterm
5/9   Exam 2
5/10 16.6 Parametrizing surfaces, tangent planes
5/13 16.6, 15.6 Surface area
5/15 16.7 Surface integrals of scalar functions
5/17 16.7 Surface integrals of vector fields
5/20 16.9 The Divergence Theorem
5/22 16.9,16.8 The Divergence Theorem (continued), Stokes' Theorem
5/24 16.8 Stokes' Theorem, continued
5/27   Memorial Day: no class today
5/29   Review

Sergi Elizalde
Last updated June 27, 2016 13:25:42 EDT