Math 11 - Multivariable Calculus - Dartmouth College

Math 11
Multivariable Calculus
Fall 2011

Day to day: Reading, topics, and worksheets

wk. date reading topic homework in-class

1 9/21 13.1, 13.2 vectors 13.1: 7, 15, 19, 21, 25, 31, 37, 39, 53; 13.2: 4, 13, 25, 31, 33, 47, 51 09.21.pdf

9/23 13.3, 13.4 dot & cross producs 13.3: 1, 13, 15, 21, 45, 51, 65, 81; 13.4: 3, 7, 9, 15, 23, 25, 27, 37, 55

Due Wednesday 9/28: Homework #1 with solutions

2 9/26 13.5 lines & planes 13.5: 1, 11, 13, 17, 23, 27, 33, 51

9/28 14.1, 14.2 vector valued fns 14.1: 9, 15, 25, 27, 31, 37; 14.2: 9, 13, 21, 27, 29, 31

9/30 14.3, 14.4 arc length & curvature 14.3: 1, 3, 7, 11, 17; 14.4: 1, 3, 11, 13, 25, 26, 27 (For exercises 25-27 take a=3 and b=2. Hint for 26 and 27: For which values of t does the denominator have a min or max?)

Due Wednesday 10/5: Homework #2 with solutions

3 10/3 14.5 motion 14.5: 3, 9, 15, 19, 23, 29, 31, 35, 41, 43, 51 Graph:
(.gcx for macs), (.pdf)

10/5 15.1 fns of several vars 15.1: 3, 7, 15, 19, 29, 31, 33, 39, 47 Graphs: .pdf or
.gcx (A, B, C)

10/7 15.2 limits & continuity 15.2: 1, 7, 9, 11, 13, 15, 17, 31, 33, 35, 41

Due Wednesday 10/12: Homework #3 with solutions

4 10/10 15.3 partials 15.3: 7, 9, 11, 13, 15, 17, 19, 25, 37, 43, 53, 57, 65, 73 spreadsheet and contours

10/12 15.4 tangent planes 15.4: 3, 7, 11, 13, 17, 21, 27, 35

10/13: Exam 1 (on 13.1-13.5, 14.1-14.5, 15.1-15.2)

10/14 15.5 gradient 15.5: 3, 5, 21, 29, 33, 35, 39, 43, 49, 59

Due Wednesday 10/19: Homework #4 with solutions

5 10/17 15.6 chain rule 15.5: 1, 11, 19; 15.6: 1, 5, 7, 11, 13, 17, 21

10/19 15.7 min/max 15.7: 3, 5, 7, 9, 17, 28, 31, 35, 37 2D: .gcx or .pdf
3D: .gcx or .pdf

10/21 15.8 Lagrange 15.8: 1, 3, 7, 11, 15, 17, 19, 21 Graphs: 2D: .gcx or .pdf
3D: .gcx or .pdf

Due Wednesday 10/26: Homework #5 with solutions

6 10/24 16.1 integration 16.1: 3, 11, 15, 19, 29, 32, 33, 35, 37, 39, 45, 47 Graphs: .gcx or .pdf
Spreadsheet

10/26 16.2 more int regions 16.2: 9, 11, 19, 27, 29, 31, 35, 45, 47, 51, 55

10/28 16.3 tripple integrals 16.3: 3, 9, 17, 19, 23, 25, 29, 31, 35

Due Wednesday 11/2: Homework #6 with solutions

7 10/31 16.4 polar coordinates 16.4: 3, 9, 15, 21, 29, 33, 41, 45

11/2 16.5 applications 16.5: 1, 5, 7, 13, 19, 49, 53

11/4 17.1 vector fields 17.1: 1, 13-16, 17-20, 21, 29, 31, 33

Due Wednesday 11/9: Homework #7 with solutions

8 11/7 17.2 line integrals 17.2: 1, 5, 7, 9, 13, 17, 19, 29, 37, 41, 51, 53

11/8: Exam 2 (on chapters 15 & 16)

11/9 17.3 conservative fields 17.3: 1, 5, 7, 9, 11, 13, 17, 19, 21

11/11 17.4 parametrization 17.4: 1, 3, 5, 13, 17, 21, 27, 29, 41

Due Wednesday 11/16: Homework #8 with solutions

9 11/14 17.5 surface integrals 17.5: 1, 3, 5, 9, 13, 18, 19, 25

11/16 18.1 Green's thm 18.1: 1, 3, 7, 9, 13, 15, 21, 25, 27

11/18 18.1,18.2 Stoke's thm 18.2: 1, 3, 5, 7, 9, 11, 13

10 11/21 18.2 Stoke's thm 18.2: 17, 19, 21, 23

Thanksgiving break

Due Wednesday 11/30: Homework #9 with solutions

11 11/28 18.3 divergence thm 18.3: 3, 9, 11, 15, 19, 21, 25, 37

11/30 Review

wk.	date	reading	topic	homework	in-class

1	9/21	13.1, 13.2	vectors	13.1: 7, 15, 19, 21, 25, 31, 37, 39, 53; 13.2: 4, 13, 25, 31, 33, 47, 51	09.21.pdf
	9/23	13.3, 13.4	dot & cross producs	13.3: 1, 13, 15, 21, 45, 51, 65, 81; 13.4: 3, 7, 9, 15, 23, 25, 27, 37, 55
				Due Wednesday 9/28: Homework #1 with solutions
2	9/26	13.5	lines & planes	13.5: 1, 11, 13, 17, 23, 27, 33, 51
	9/28	14.1, 14.2	vector valued fns	14.1: 9, 15, 25, 27, 31, 37; 14.2: 9, 13, 21, 27, 29, 31
	9/30	14.3, 14.4	arc length & curvature	14.3: 1, 3, 7, 11, 17; 14.4: 1, 3, 11, 13, 25, 26, 27 (For exercises 25-27 take a=3 and b=2. Hint for 26 and 27: For which values of t does the denominator have a min or max?)
				Due Wednesday 10/5: Homework #2 with solutions
3	10/3	14.5	motion	14.5: 3, 9, 15, 19, 23, 29, 31, 35, 41, 43, 51	Graph: (.gcx for macs), (.pdf)
	10/5	15.1	fns of several vars	15.1: 3, 7, 15, 19, 29, 31, 33, 39, 47	Graphs: .pdf or .gcx (A, B, C)
	10/7	15.2	limits & continuity	15.2: 1, 7, 9, 11, 13, 15, 17, 31, 33, 35, 41
				Due Wednesday 10/12: Homework #3 with solutions
4	10/10	15.3	partials	15.3: 7, 9, 11, 13, 15, 17, 19, 25, 37, 43, 53, 57, 65, 73	spreadsheet and contours
	10/12	15.4	tangent planes	15.4: 3, 7, 11, 13, 17, 21, 27, 35
10/13: Exam 1 (on 13.1-13.5, 14.1-14.5, 15.1-15.2)
	10/14	15.5	gradient	15.5: 3, 5, 21, 29, 33, 35, 39, 43, 49, 59
				Due Wednesday 10/19: Homework #4 with solutions
5	10/17	15.6	chain rule	15.5: 1, 11, 19; 15.6: 1, 5, 7, 11, 13, 17, 21
	10/19	15.7	min/max	15.7: 3, 5, 7, 9, 17, 28, 31, 35, 37	2D: .gcx or .pdf 3D: .gcx or .pdf
	10/21	15.8	Lagrange	15.8: 1, 3, 7, 11, 15, 17, 19, 21	Graphs: 2D: .gcx or .pdf 3D: .gcx or .pdf
				Due Wednesday 10/26: Homework #5 with solutions
6	10/24	16.1	integration	16.1: 3, 11, 15, 19, 29, 32, 33, 35, 37, 39, 45, 47	Graphs: .gcx or .pdf Spreadsheet
	10/26	16.2	more int regions	16.2: 9, 11, 19, 27, 29, 31, 35, 45, 47, 51, 55
	10/28	16.3	tripple integrals	16.3: 3, 9, 17, 19, 23, 25, 29, 31, 35
				Due Wednesday 11/2: Homework #6 with solutions
7	10/31	16.4	polar coordinates	16.4: 3, 9, 15, 21, 29, 33, 41, 45
	11/2	16.5	applications	16.5: 1, 5, 7, 13, 19, 49, 53
	11/4	17.1	vector fields	17.1: 1, 13-16, 17-20, 21, 29, 31, 33
				Due Wednesday 11/9: Homework #7 with solutions
8	11/7	17.2	line integrals	17.2: 1, 5, 7, 9, 13, 17, 19, 29, 37, 41, 51, 53
11/8: Exam 2 (on chapters 15 & 16)
	11/9	17.3	conservative fields	17.3: 1, 5, 7, 9, 11, 13, 17, 19, 21
	11/11	17.4	parametrization	17.4: 1, 3, 5, 13, 17, 21, 27, 29, 41
				Due Wednesday 11/16: Homework #8 with solutions
9	11/14	17.5	surface integrals	17.5: 1, 3, 5, 9, 13, 18, 19, 25
	11/16	18.1	Green's thm	18.1: 1, 3, 7, 9, 13, 15, 21, 25, 27
	11/18	18.1,18.2	Stoke's thm	18.2: 1, 3, 5, 7, 9, 11, 13
10	11/21	18.2	Stoke's thm	18.2: 17, 19, 21, 23
Thanksgiving break
				Due Wednesday 11/30: Homework #9 with solutions
11	11/28	18.3	divergence thm	18.3: 3, 9, 11, 15, 19, 21, 25, 37
	11/30	Review