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Calculus 4 Sample Syllabus

This is a sample syllabus. The schedule and topics covered for your section are likely to be different.

1 Double integrals over rectangles 15.1, 15.2
2 Double integrals over general regions 15.3
3 Polar coordinates, applications of double integrals 15.4, 15.5
4 More applications, triple integrals 15.5, 15.6
5 Cylindrical coordinates, spherical coordinates 15.7, 15.8
6 Spherical coordinates, change of variables 15.8, 15.9
7 Change of variables 15.9
8 Review
9 1st Midterm
10 Vector fields 16.1
11 Line integrals 16.2
12 Fundamental theorem for line integrals 16.3
13 Green’s theorem 16.4
14 Curl and divergence 16.5
15 Parametric surfaces, surface area 16.6
16 Surface integrals 16.7
17 Stokes’ Theorem 16.8
18 Divergence Theorem 16.9
19 Review
20 2nd Midterm
21 & 22 Complex functions
23 & 24 Cauchy-Riemann equations
25 – 27 Contour integrals and Cauchy’s Theorem
28 Review