Math 213 Calculus III

Monday, Wednesday, and Friday

11:10am-12:00pm (Section 1), 12:10-1:00pm (Section 2)

Hayes Hall 311

 

Textbook

Calculus: Multivariable, Fourth Edition, by McCallum, Hughes-Hallett, Gleason, et al.

          You can find the book at a low price here.

 

Syllabus

 

Office Hours (Hayes 309-A)

Monday 2:10-3:00

Tuesday 3:10-4:00

Wednesday 3:10-4:00

Thursday 1:10-3:00

 

Drop-in Tutoring with Kate (Tomsich 103)

Wednesday 7:00-9:00

 

Math and Science Skills Center Tutoring (Tomsich 101)

Sunday, Tuesday, Thursday 7:00-10:00

 

Homework

Assignment

Problems

Due Date

1

Section 12.1: #12, 13, 18, 20-22, 25

Monday, 8/29

2

Section 12.1: #2, 6, 26, 28, 30, 31

Section 12.2: #3, 4, 7, 10

Note on problems 3-10: You can use Maple to check your answers, but you should do the problems first without.

Surface Recognition Worksheet

(Save the worksheet to your H: drive, then open. Alternatively, you can find the file on the P: drive under Class/Math/Smith/Math213Fa11.)

Wednesday, 8/31

3

Section 12.2: #6, 8, 15, 17-19, 21

Intro to Maple Worksheet

(Save the worksheet to your H: drive, then open. Alternatively, you can find the file on the P: drive under Class/Math/Smith/Math213Fa11.)

Turn this Maple worksheet in by printing your separate worksheet with answers to each of the five exercises OR by emailing me your maple worksheet saved as MapleIntro_yourname.mw.

Friday, 9/2

4

Section 12.3: #6, 7, 10, 11, 16-18, 21, 22, 26, 30, 32, 33

Contours Worksheet

Monday, 9/5

5

Section 12.4: #3, 9, 10, 12-15, 16, 19, 22, 24, 26, 27

Wednesday, 9/7

6

Section 12.6: #2, 3, 9-12, 14-18

Limits Worksheet

(put off ε-δ proof problem until Wed)

Monday, 9/12

(but it's a good idea to work ahead!)

Writing Project 1

You are encouraged to work in pairs!

Friday, 9/16

7

Required:

ε-δ problem from Limits Worksheet,

Vector Primer

Section 13.1: 6, 19, 23, 24

Section 13.2: 1-6, 12, 17, 18

Recommended:

Section 13.1: 2, 13, 14, 18, 30

Section 13.2: 7, 11, 15, 19, 22

Work on your project!

Wednesday, 9/14

8

Section 13.3: 5, 6, 13, 14, 18, 20, 21, 24, 26, 29, 32, 33, 36, 38, 41

Work on your project!

Friday, 9/16

9

Sec 13.4: 6, 7, 9, 12, 14, 15, 18, 21, 22, 23, 28, 29, 34

Monday, 9/19

10

Chapter 13 Review Problems

Wednesday, 9/21

11

Sec 14.1: 1, 6, 7, 8, 13-17, 20

Sec 14.2: 1, 4, 6, 7, 8, 10, 12, 22, 24,
26, 30, 32, 34, 38, 41, 42

We will cover the rest of the material necessary for these problems in class on Friday, so the assignment (which will count as two assignments) will be due on Monday.

Monday, 9/26

 

12

Review HW (Please note that these problems are a tool to help you study – they are not intended to represent a sample exam).

 Turn in bolded problems:

Sec 12.1: 3, 6, 8, 19

Sec 12.2: 3-10 (5), 14, 22

Sec 12.3: 16, 17, 23, 29

Sec 12.4: 1, 4-7, 12-15, 17, 24

Sec 12.6: 1, 2, 4, 10, 15, 18, 20

Sec 13.1: 2, 7, 14, 18, 23, 30

Sec 13.2: 3, 5, 13, 14, 21, 24

Sec 13.3: 1, 8, 11, 14, 15, 20, 21, 25, 29, 30, 35, 40

Sec 13.4: 5, 9, 11, 18, 21, 23, 25

Sec 14.1: 2, 4, 8, 11, 13, 18

Sec 14.2: 2, 7, 27, 34, 37, 43, 45

Study for Exam 1!

Wednesday, 9/28

 

13

Sec 14.3: 4, 7, 8, 11, 14, 16, 18, 19,

21, 22

Friday, 9/30

14

Sec 14.4: 1-6, 36-38, 44, 48, 53

Finish in-class worksheet.

Monday, 10/3

15

Sec 14.4: 20, 24, 33, 45, 46, 50-52, 55, 58, 64-66

Extra credit survey.

Wednesday, 10/5

16

Finish gradient worksheet.

Monday, 10/10

17

Sec 14.6: 4-6, 9, 11, 12, 15, 17, 19, 22, 25, 36-38

Wednesday, 10/12

18

Sec 14.7: 6-8, 22, 24, 26, 33, 35, 36, 38

Friday, 10/14

19

Sec 14.8: 5, 8, 9, 12, 15, 17

Monday, 10/17

20

Question 7 from in-class worksheet

Sec 15.1: 5, 16, 21, 23, 26, 31

Finish your project!

Wednesday, 10/19

21

Sec 15.2: 2, 6, 7, 10, 13, 16, 18, 19, 21, 24, 25, 29, 32

Problem 5 from in-class worksheet.

We’ll cover regression and do more with optimization on Friday, but you should be able to do most of these problems now.

Plan ahead – ODK 2 will be Monday, 10/31.

Monday, 10/24

22

Sec 15.3: 3, 9, 14-16, 19, 23, 25

Friday, 10/28

23

Review HW (Please note that these problems are a tool to help you study – they are not intended to represent a sample exam).

 Turn in bolded problems:

Sec 14.3: 3, 9, 13, 16, 18

Sec 14.4: 5, 19, 29, 37, 43, 45, 48, 55

Sec 17.1: 7, 13

Sec 14.6: 3, 13, 23d

Sec 14.7: 9, 21, 23, 25, 33, 37, 38

Sec 14.8: 2, 3, 4, 13

Sec 15.1: 7, 16-18, 19

Sec 15.2: 4, 13, 27.

Find the least squares line for the set of points (-2,0), (0,2), (2,3).

Find the absolute max and min of  on the ellipse  and on the semi-ellipse

 

Sec 15.3: 5, 11, 17, 29

Study for Exam 2!

Monday, 10/31

24

Sec 16.1: 4-6, 9, 13, 14, 20, 22, 23, 26, 29a, 31

Friday, 11/4

25

Sec 16.2: 7, 10, 14, 22, 23,
25, 28, 32, 37, 41, 42, 44

Monday, 11/7

26

Sec 16.3: 5, 6, 10-13, 16, 22 (set-up only), 26, 28, 30, 31, 34, 39, 40, 43, 47

Double and Triple Integrals Worksheet

Friday, 11/11

27

Sec 16.4: 2, 3, 8, 10, 14-17, 19, 21, 23

Monday, 11/14

28

Sec 16.5: 1, 3, 6, 7, 9, 12, 13, 15-17, 22,
25, 30, 33, 37

Wednesday, 11/16

29

Review HW (Please note that these problems are a tool to help you study – they are not intended to represent a sample exam).

 Turn in bolded problems.

Review Exercises, pg. 825:

3, 4, 5, 7, 8, 10-14, 15, 17-20, 21, 22, 23-25, 27-29, 32, 33, 41, 42, 47

Friday, 11/18

30

Sec 17.1: 3, 10, 15, 17, 21, 25, 33, 34, 45, 47, 51, 53, 55

Wednesday, 11/30

31

Sec 17.2: 6, 10, 13, 16, 20, 22, 25, 26, 30, 32, 34, 35

Note that the formula for the length of a curve is given on pg. 844. It should be intuitive!

Friday, 12/2

32

Sec 17.3: 2, 4, 5, 11, 16, 17, 21-23, 25

Sec 17.4: 6-8, 10, 18

Maple commands for plotting a vector field and flow line:

with(DEtools) :

d1 := diff(x(t), t) = x(t)+2*y(t);

d2 := diff(y(t), t) = -2*x(t)+y(t);

DEplot([d1, d2], [x(t), y(t)], t = 0 .. 3, x = -5 .. 5, y = -3 .. 3, numpoints = 60, arrows = medium);

DEplot([d1, d2], [x(t), y(t)], t = 0 .. 3, x = -5 .. 5, y = -3 .. 3, [[x(0) = -.5, y(0) = .5]], numpoints = 60, linecolor = black, arrows = medium);

Blue is for the vector field.

Purple is for the vector field and a flow line.

Monday, 12/5

33

Sec 18.1: 10, 11, 14-16, 19-21, 25, 26

Note that the definition of circulation is given on

pg. 880. The point is that it gives us a term to denote the special case when we have a closed curve. (Picture things like rectangles and circles, not line segments.)

Wednesday, 12/7

34

Sec 18.2: 6, 16, 18-20, 22

Note that work is defined on page 879.

Friday, 12/9

35

Sec 18.3: 3, 5, 7, 9, 10, 13, 17, 28-30

For question 17, you can compute the integral in Maple.

Answers to even problems:

10 path-dependent

28 (b) longer, (c) -0.3

30 (a) positive, (b) F is not a gradient field, (c) F2

Final exam day, before the exam.