Math 213 Calculus III

Monday, Wednesday, and Friday

8:10 – 9:00am (Section 1),

1:10 – 2:00pm (Section 2)

Hayes 311

 

Textbook

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

 

Syllabus Section 1

Syllabus Section 2

Course Schedule

 

Office Hours (Hayes 309-A)

Monday 2:10-3:00pm

Tuesday 12:10-2:00pm

Thursday 10:10am-12:00pm

 

Drop-in Tutoring with Emily at the MSSC

Sunday 9:00-10:00pm

Tuesday 9:00-10:00pm

Thursday 7:00-9:00pm

 

Math and Science Skills Center Tutoring (Tomsich 101)

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

 

Homework

Lesson

Date

Section(s)

Topic

Homework

Due

1

8/30/2013

12.1

Functions of Two Variables

Section 12.1: #2, 3, 5, 7-10, 12, 24, 26, 28

Read Section 12.1 and 12.2.

Fill out student info sheet and read through the syllabus!

9/2/2013

2

9/2/2013

12.2

Graphs of Functions of Two Variables

Section 12.2: #2, 6, 10-13, 16, 24
In-class worksheet: #1 (all four parts).

(Worksheet problems 2-4 are recommended -- it’s a good idea to do them!)

Read Section 12.3.

9/4/2013

3

9/4/2013

12.3

Contours

Section 12.3: #6, 9, 10, 14, 16, 18, 24, 29, 32

Contours Worksheet: #1, 5

Read Section 12.4.

9/6/2013

4

9/6/2013

12.4

Linear Functions

Section 12.4: #7, 8, 12, 13, 16, 29

Linear Functions Worksheet

Maple Intro – Find the intro worksheet on the P:// drive: P://Class/Math/Smith/Math213/Math213Fa13

There are 2 files – one to work through and one to put your answers in. Turn in a printout of the answer sheet file on Wed.

Read Section 12.6.

9/9/2013

 

9/11/2013

5

9/9/2013

12.6

Limits and Continuity

Section 12.6: #14 – 16

Maple Intro

Start Limit Project

9/11/2013

6

9/11/2013

12.6

Limits and Continuity

Section 12.6: #4-7, 21-23

Work on limit project! (due Wed next week)

Read Sections 13.1 and 13.2.

9/13/2013

7

9/13/2013

13.1, 13.2

Displacement Vectors, Vectors in General

Vector Primer Worksheet

Section 13.1: #2, 6, 24, 25, 28

Section 13.2: #1-6, 9, 11

Work on limit project!

Read Section 13.3.

9/16/2013

8

9/16/2013

13.3

The Dot Product

Project 1

Section 13.3: #8, 15, 16, 18, 28, 34, 36, 38, 47, 50

Read Section 13.4.

9/18/2013

9/20/2013

9

9/18/2013

13.4

The Cross Product

Section 13.4: #4, 8, 11, 16, 17, 25, 28, 34

9/20/2013

10

9/20/2013

13.1-13.4

Vector Review

Vector Review Worksheet

Read Sections 14.1 and 14.2.

9/23/2013

11

9/23/2013

14.1, 14.2

Partial Derivatives

Banking problem from worksheet

Section 14.1: #2, 3, 11-13, 16, 20, 22

Section 14.2: #5, 8, 26, 33, 37, 40, 45

Read Section 14.3.

9/25/2013

12

9/25/2013

14.3

Local Linearity

Section 14.3: # 1, 5, 12, 13, 17, 18

9/27/2013

13

9/27/2013

Chapters 12 – 14

Review

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

Turn in two (or more) problems from each section.

Chapter 12 Review Exercises: #7, 8, 11, 17, 24, 28, 30, 31, 32
Chapter 13 Review Exercises: #1, 2, 5-7, 19, 21, 23, 35, 41, 42, 47, 48

Chapter 14 Review Exercises: #5, 6, 9, 57, 58, 59ab, 64-67

9/30/2013

9/30/2013

 

 

ODK I

 

14

10/2/2013

14.4

Directional Derivatives

Section 14.4: #31-33, 45-48, 55, 63, 68, 77

Read Section 14.4.

10/4/2013

15

10/4/2013

14.4

The Gradient

Section 14.4: #5, 18, 27, 29, 36, 40, 62, 65, 73, 74

Read Section 17.1.

10/7/2013

16

10/7/2013

17.1

Parametrized Curves

Section 17.1: #1, 2, 4, 9, 13, 20, 21, 31, 32

Start Parametric Plots exercises and project!

Read Section 14.6.

10/9/2013

17

10/9/2013

14.6

The Chain Rule

Section 14.6: #2, 12, 15, 17, 18, 29

Implicit Differentiation Problems 1 and 2

Read Section 14.7.

Work on projects!

10/14/2013

18

10/14/2013

14.7

Second-Order Partial Derivatives

Section 14.7: #7, 8, 22, 23, 26, 27, 37, 40, 44

Worksheet #7.

Read Section 14.8.

Work on projects!

10/16/2013

19

10/16/2013

14.8

Differentiability

Section 14.8: #6-10, 12, 14, 16, 20

Plot the functions in Maple to answer questions 6-10.

Read Section 15.1.

Work on projects!

10/18/2013

20

10/18/2013

15.1

Local Extrema

Worksheet question: #7

Section 15.1: #1, 2, 10, 27, 28, 34

Read Section 15.2.

Work on projects (due Wednesday, 10/23)!

10/21/2013

21

10/21/2013

15.2

Optimization

Worksheet questions 1-5

10/25/2013

22

10/23/2013,

10/25/2013

15.3

Lagrange Multipliers

Section 15.3: #5, 18, 25, 28, 32 and 32+, 34

10/28/2013

23

10/28/2013

Chapters 14 and 15

Review

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

Turn in two (or more) problems from each section.

Chapter 14 Review Exercises: #1, 2, 24, 41, 59, 68, 73, 75, 76, 78

Section 14.6: #2, 10, 16, 27

Section 14.8 : #13, 16

Chapter 15 Review Exercises: #1, 6-8, 11, 26, 35

Section 15.2: #4

Optimize  on (a) the closed disk centered at (0,0) with radius 2, (b) the triangle

(c) the region

10/30/2013

 

10/30/2013

 

 

ODK II

 

24

11/1/2013

16.1

The Definite Integral

Worksheet questions: #2-4

Section 16.1: #6, 8, 26, 28

11/4/2013

25

11/4/2013

16.2

Iterated Integrals

Section 16.2: # 8, 14, 17, 23, 29, 30, 35, 39, 44, 48, 49

11/6/2013

26

11/6/2013

16.3

Triple Integrals

Section 16.3: #5, 10, 22, 25, 35, 37, 40, 45, 49,

Handout: #22, 25 (for #25, use the order dydxdz).

In this assignment, compute at least one triple integral by hand. For the others, you can set up the triple integral and then compute in Maple.

11/8/2013

27

11/8/2013

16.2 and 16.3

Double and Triple Integrals

Worksheet

(Evaluate #5 by hand)

11/11/2013

28

11/11/2013

16.4

Double Integrals in Polar Coordinates

Section 16.4: #4-6, 9, 14, 17, 21, 23, 26, 28

11/13/2013

29

11/13/2013,

11/15/2013

16.5

Integrals in Cylindrical and Spherical Coordinates

Section 16.5: #2-6, 8, 15-19, 22, 23, 27-29, 33, 42

(Due Monday, but you should be able to get started on problems related to cylindrical coordinates.)

11/18/2013

30

11/18/2013

Chapter 16

Review

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

Turn in two (or more) problems from each section.

Section 16.1 # 3, 28
Chapter 16 Review Exercises: 1, 3, 8, 9, 10, 12, 16, 21, 28, 30-33

(#31 : If you integrate by hand, you may find the following useful: . )

35-37, 46, 48, 52, 57, 59, 69 (challenging)
Chapter 16 Check Your Understanding: 1-3, 8, 19

11/20/2013

31

11/20/2013

 

 

ODK III

 

32

11/22/2013,

12/2/2013

17.1, 17.2

Parametrized Curves,

Motion, Velocity, and Acceleration

Sec 17.1: #1, 4, 23, 45, 57, 62, 70

Sec 17.2: #6, 10, 14, 17, 18, 20, 21 (plotting the points would be a good start…), 23, 27, 35, 42, 44

 (See length of curve formula on page 891 for #14 – if you want a good exercise, you can do #47 to justify the formula).

Worksheet: #6

Fun challenge problem (optional): #37

12/4/2013

33

12/4/2013

17.3, 17.4

Vector Fields and Flow

Section 17.3: # 5 - 10, 26, 27, 29 - 31, 33, 34
Section 17.4 # 6, 7, 8, 10, 18
Example Maple commands for drawing

 a vector field:
with(plots);
fieldplot([x+2, y^2+x], x = -1 .. 1, y = -1 .. 1, arrows = medium, grid = [10, 10]);

12/6/2013

34

12/6/2013

18.1

The Idea of a Line Integral

Section 18.1: #1, 2, 5, 15, 17, 20, 22, 24, 25, 34, 40

Think about: #41, 42

12/9/2013

35

12/9/2013

18.2

Computing Line Integrals Over Parametrized Curves

Section 18.2: # 1, 4, 12, 16, 20, 29, 30, 35

Worksheet: #3, 4

12/11/2013

36

12/11/2013

18.3, 18.4

Gradient Fields and Path-Independent Fields

Section 18.3: #4, 8, 13, 22, 23, 25, 35, 36, 38

Section 18.4: #5, 7

12/13/2013

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

.