Math/Mthe 280 — Advanced Calculus About Lectures OnQ


  Date Topic Book HomeworkHmwk Practice ProblemsProbs
Sept. 11 Introduction to the Course §2.1   9, 12, 14, 17, 18, 22
12 Graphing functions of several variables §2.2   6, 10, 20, 27, 37, 39
14 Limits §2.3 4, 5, 6
18 Limits and Continuity §2.3 8, 9, 15, 17, 27, 34
19 Partial Derivatives §2.4 9, 10, 13, 14, 15, 16
21 Derivatives §2.4 H1 23, 25, 26, 39, 40
25 Differentiability §2.4 A1 46, 67, 68, 69
26 The Chain Rule §2.6 5, 6, 7, 14, 15, 16
28 Curves in the plane and in space §3.1 H2 7, 10, 11, 20, 21, 31
Oct. 2 Tangents, Velocity, and Arclength §3.2,3.3 A2 §3.2:15,17,23,24, §3.3:7,9,11
3 Gradients §4.1 7,9,11,19,21,31,35
5 Higher order partial derivatives §2.6 H3 5, 10, 11, 12, 14, 22
9 Thanksgiving A3
10 Divergence and curl §4.6 1—6, 13—16
12 More about divergence and curl §4.6 H4 9, 11, 13, 21—25
16 Identities of vector analysis §4.8 A4 2, 3
17 Paths and parameterizations §5.1 11,13,17
19 Path integrals of real valued functions §5.2 H5 5,7,15,17,21,23,25
23 Path integrals of vector valued functions §5.3 A5 1, 5, 6, 9
24 Integrals independent of path §5.4 1, 4, 13, 15, 20
26 Double integrals §6.1 H6 11, 17, 18
30 More general regions of integration §6.2 A6 2, 3, 12, 14, 16, 22
31 Changing the order of integration §6.3 16—20
Nov. 2 Change of Variables §6.4 H7 1, 2, 22, 32
6 Triple integrals §6.5 A7 2, 3, 5, 10, 12, 14
7 Parameterized surfaces §7.1 2, 3, 7, 13, 14, 15
9 Surface integrals of real valued functions §7.3 H8 5, 6, 8, 10
13 Surface integrals of vector fields §7.4 A8 7, 8, 9, 16
14 Multivariable theorems of calculus
16 Green's theorem §8.1 H9 3, 4, 6, 9, 14
20 Divergence (Gauss') theorem §8.2 A9 3, 6, 9, 11
21 Stokes' theorem §8.3 3, 15, 17, 19
23 Integration Tricks H10
27 Applications to electromagnetism §8.5 A10 1, 2(a)
28
30 Review for December exam H11
4   A11
5  
7   H12
11   A12