Math 13
Multivariable Calculus
Last updated June 17, 2015 12:56:59 EDT

General Information Syllabus HW Assignments WeBWorK

Syllabus

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


Lectures Sections in Text Brief Description
3/26 15.1 Introduction to integration, iterated integrals
3/28 15.2, 15.3 Fubini's Theorem, integration over non-rectangular regions
3/30 15.4 Integration in polar coordinates
4/2 15.4, 15.5 Integration in polar coordinates, applications of double integrals
4/4 15.7, 15.8 Triple integration, cylindrical coordinates
4/6 15.8, 15.9 Spherical coordinates
4/9 Ch 12 Vectors, dot product, cross product, determinants, planes
4/11 15.10 Change of variables, the Jacobian
4/13 15.10 Change of variables, the Jacobian (continued)
4/16 Ch 12, 13 Projections, vector functions
4/18 Ch 14 Partial and directional derivatives, gradients, tangent planes
4/20 16.2 Line integrals of scalar functions
4/23   Review for the midterm
4/24   Exam 1
4/25 16.1, 16.2 Vector fields, line integrals of vector fields
4/27 16.3 The Fundamental Theorem of Calculus for line integrals
4/30 16.3 The Fundamental Theorem of Calculus for line integrals (continued)
5/2 16.4 Green's Theorem
5/4 16.4, 16.5 Green's Theorem (continued), Curl and Divergence
5/7 16.5, 16.6 Curl and Divergence (continued)
5/9 16.6 Parametrizing surfaces, tangent planes
5/11 16.6, 15.6 Surface area
5/14   Review for the midterm
5/15   Exam 2
5/16 16.7 Surface integrals of scalar functions
5/18 16.7 Surface integrals of vector fields
5/21 16.9 The Divergence Theorem
5/23 16.9,16.8 The Divergence Theorem (continued), Stokes' Theorem
5/25 16.8 Stokes' Theorem, continued
5/28   Memorial Day: no class today
5/30   Review


Sergi Elizalde
Last updated June 17, 2015 12:56:59 EDT