Math 13
Calculus of Vector-Valued Functions
Last updated November 30, 2022 13:19:45 EST

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained our canvas page will always be accurate.

Lectures Sections in Text Brief Description
1/4 4.1-4.2 Review of functions of several variables and definite integrals
1/6 5.1 Double integrals over rectanglar regions
1/9 5.2 Double Integrals over general regions
1/11 5.3 Integration in polar coordinates
1/13 5.3 and 5.4 Integration in polar coordinates and triple integrals
1/16   MLK Day. NO CLASS
1/17 (x-hou) 5.4 and 5.5 Triple integration, cylindrical coordinates
1/18 5.5 Spherical coordinates
1/20 2.3, 2.5, and 4.3 Review of vectors, dot product, cross product, determinants, planes
1/23 5.7 Change of variables, the Jacobian
1/25 (x-hour) 5.7 Change of variables, the Jacobian (continued)
1/27 3.1 and 3.2 Review of vector functions
1/27   Preliminary Exam
1/30 4.4. 4.3, and 4.6 Review of artial and directional derivatives, gradients, tangent planes
2.1 6.1 Vector Fields
2.3 6.2 Line integrals of vector fields
2.6 6.3 Line Integrals, The Fundamental Theorem of Calculus for line integrals
2/8 6.3 The Fundamental Theorem of Calculus for line integrals (continued)
2/10 6.4 Green's Theorem
2/13 6.4 Green's Theorem (continued)
2/15 6.5 Curl and Divergence
2/17 6.5 Curl and Divergence (continued), Parametrizing surfaces
2/17   Midterm Exam
2/20 6.6 Parameterizing a surface and surface area
2/22 6.6 Surface integrals of scalar functions
2/24 6.7 Stokes Theorem
2/27 6.7 Stokes Theorem
3/1 6.8 The Divergence Theorem
3/3 16.8 The Divergence Theorem
3/6   Wrap-up
3/13   Final Exam

Dana P. Williams
Last updated November 30, 2022 13:19:45 EST