Math 233: Multivariable Calculus

Fall Semester 2007

August
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27
Course Introduction, Multivariable Functions

WebWork Homework Tutorial

Homework 1:
Section 12.1: math2.carroll.edu
Due: 11:59pm Thurs, 30 Aug

28
Recitation
29
Multivariable Functions and Contour Diagrams:
Sections 12.2, 12.3

Homework 2:
Sections 12.2 and 12.3: math2.carroll.edu
Due: 11:59pm Wed, 5 Sep

30
Lab 1: Surfaces and Elephants
Sample Lab Report
Sections 12.2, 12.3

Due Today: Homework 1

31
Linear Functions and Functions of 3 Variables:
Sections 12.4, 12.5

Homework 3:
Sections 12.4 and 12.5: math2.carroll.edu
Due: 11:59pm Thurs, 6 Sep

September
MondayTuesdayWednesdayThursdayFriday
3
No School - Labor Day
4
Recitation
5
Vectors:
Sections 13.1, 13.2

Due Today: Homework 2

vectors!

Homework 4:
Sections 13.1 and 13.2: math2.carroll.edu
Due: 11:59pm Tues, 11 Sep

6
Lab 2: Pointing this way and that!

Due Today: Homework 3

7
Dot Product:
Section 13.3

Dot Product

Homework 5:
Section 13.3: math2.carroll.edu
Due: 11:59pm Wed, 12 Sep

10
Dot Product & Cross Product:
Section 13.3 & 13.4

Homework 6:
Sections 13.3 and 13.4: math2.carroll.edu
Due: 11:59pm Thurs, 13 Sep

11
Recitation

Due Today: Homework 4

12
Cross Product:
Sections 13.4

Due Today: Homework 5

Sample Exam 1

Cross Product

13
Chapter 13 Wrap Up

Due Today: Homework 6

14
Exam 1
Sections 12.1-12.5, 13.1-13.4
17
Partial Derivatives:
Sections 14.1, 14.2

Partial Derivatives

Homework 7:
Sections 14.1 and 14.2: math2.carroll.edu
Due: 11:59pm Thurs, 20 Sep

18
Recitation
19
Local Linearity:
Section 14.3

Local Linearity

Homework 8:
Section 14.3: math2.carroll.edu
Due: 11:59pm Tue, 25 Sep

20
Section 14.4

Due Today: Homework 7

21
Section 14.4

Homework 9:
Section 14.4: math2.carroll.edu
Due: 11:59pm Wed, 26 Sep

24
Gradients and Directional Derivatives in Space:
Section 14.5

Homework 10:
Section 14.5: math2.carroll.edu
Due: 11:59pm Thurs, 27 Sep

25
Recitation

Due Today: Homework 8

26
Multivariable Chain Rule:
Section 14.6

Due Today: Homework 9

Chain Rule Worksheet

Homework 11:
Section 14.6: math2.carroll.edu
Due: 11:59pm Tue, 2 Oct

27
Lab 4: Chain Rule Challenges Sections 14.3, 14.6

Due Today: Homework 10

28
Second Order Partial Derivatives:
Section 14.7

Homework 12:
Section 14.7: math2.carroll.edu
Due: 11:59pm Wed, 3 Oct

October
MondayTuesdayWednesdayThursdayFriday
1
Local/Global Optimization:
Sections 15.1 - 15.2

Homework 13:
Sections 15.1 and 15.2 math2.carroll.edu
Due: Thurs, 4 Oct

2
Recitation

Due Today: Homework 11

3
Optimization Models:

Real Optimization Handout

Due Today: Homework 12

Homework 14:
Sections 15.1 and 15.2 math2.carroll.edu
Due: Tues, 16 Oct

4
Review
Sections 14.1-14.7, 15.1-15.2

Due Today: Homework 13

Sample Exam 2

Sample Exam 2 solutions

5
Exam 2
Sections 14.1-14.7, 15.1-15.2
8
No Classes - Fall Break
9
No Classes - Fall Break
10
No Classes - Fall Break
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No Classes - Fall Break
12
No Classes - Fall Break
15
Constrained Optimization:
Section 15.3

Optimization Formulation Worksheet

Homework 15:
math2.carroll.edu
Due: Thurs, 18 Oct

16
Recitation

Due Today: Homework 14

17
Constrained Optimization:
Section 15.3
18
Lab 5: Optimization

Sections 15.1 - 15.3

Due Today: Homework 15

19
Multivariable Integration:
Section 16.1

Great Dirt Pile Worksheet

Homework 16:
math2.carroll.edu
Due: Wed, 24 Oct

22
Iterated Integrals:
Section 16.2

Handout: Iterated Integrals Worksheet

Iterated Integrals Worksheet II

Homework 17:
math2.carroll.edu
Due: Thurs, 25 Oct

23
Recitation
24
Triple Integrals:
Section 16.3

Due Today: Homework 16

Homework 18:
Section 16.3 math2.carroll.edu
Due: Tues, 30 Oct

25
Lab 6: Visualizing Double Integrals (Java applet)
Lab Handout

Due Today: Homework 17

26
Polar and Cylindrical Coordinates
Section 16.4, 16.5

Homework 19:
Sections 16.4 and 16.5 math2.carroll.edu
Due: Wed, 31 Oct

29
Spherical Coordinates
Section 16.5

Homework 20:
Section 16.5 math2.carroll.edu
Due: Thurs, 1 Nov

30
Recitation

Due Today: Homework 18

31
Integration Wrap Up

Due Today: Homework 19

Homework 21:
Sections 16.2 - 16.5 math2.carroll.edu
Due: Tues, 6 Nov

November
MondayTuesdayWednesdayThursdayFriday

1

Due Today: Homework 20

2
Exam 3
Sections 15.3, 16.1-16.5
5
Parameterization Intro
Section 17.1

Parameterization Worksheet

Homework 22:
Section 17.1 math2.carroll.edu
Due: Thurs, 8 Nov

6
Recitation

Due Today: Homework 21

7
Motion, Velocity, and Acceleration
Section 17.1, 17.2

Motion, Velocity, and Acceleration Worksheet

Homework 23:
Section 17.2 math2.carroll.edu
Due: Tues, 13 Nov

8
Project: Arboretum Design

Due Today: Homework 22

9
Vector Fields and Flows
Sections 17.3 and 17.4

vector fields worksheet

Homework 24:
Sections 17.3 and 17.4 math2.carroll.edu
Due: Wed, 14 Nov

12
Parameterization and Vector Field Wrap Up

Clicker Qs: 16n17.ppt

13
Recitation

Due Today: Homework 23

14
What is a Line Integral?
Section 18.1

Due Today: Homework 24

line integrals worksheet

Homework 25:
Section 18.1 math2.carroll.edu
Due: Tues, 20 Nov

15
Line Integrals II
Section18.2

Line Integrals II Worksheet

Homework 26:
Section 18.2 math2.carroll.edu
Due: Tues, 27 Nov

16
Line Integrals via Parameterization
Sections 18.2, 18.3

Homework 27:
Section 18.2 & 18.3 math2.carroll.edu
Due: Wed, 28 Nov

19
Conservative Vector Fields
Section 18.3

Fundamental Theorem Worksheet

Homework 28:
Section 18.3 math2.carroll.edu
Due: Thurs, 29 Nov

20
Recitation

Due Today: Homework 25

21
No Classes - Thanksgiving Break
22
No Classes - Thanksgiving Break
23
No Classes - Thanksgiving Break
26
Green's Theorem
Section 18.4

Homework 29:
Section 18.4 math2.carroll.edu
Due: Tues, 4 Dec

27
Recitation

Due Today: Homework 26

28
Line Integrals Wrap Up and an Introduction to Flux Integrals
Sections 18.1 - 18.4, 19.1

Due Today: Homework 27

Due Today: Project Draft

Line Integrals Review Worksheet

Flux Integrals Worksheet

Homework 30:
Section 19.1 math2.carroll.edu
Due: Wed, 5 Dec

29
Lab 7: Curly Vector Fields

Due Today: Homework 28

30
Flux Integrals over Symmetric Surfaces
Section 19.2

Flux Integrals II Worksheet

Homework 31:
Section 20.1 math2.carroll.edu
Due: Thurs, 6 Dec

December
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3
Flux Integrals
Section 19.2
4
Recitation

Due Today: Homework 29

5
Divergence
Section 20.1 & 20.2
Divergence Worksheet

Due Today: Homework 30

Homework 32:
Line Integrals: math2.carroll.edu
Due: Tues, 11 Dec

6
Curl
Section 20.3

Due Today: Homework 31

Curl Worksheet

7
Flux Integrals
Section 20.4

Due Today: Project Reports

Homework 33:
Flux: math2.carroll.edu
Due: Wed, 12 Dec

10
Vector Calculus Wrap Up

Vector Calculus Review Sheet

Homework 34:
Vector Calculus: math2.carroll.edu
Due: Thurs, 13 Dec

11
Project Presentations

Due Today: Homework 32

12
Project Presentations

Due Today: Homework 33

13
Project Presentations

Due Today: Homework 34

14
Review

Final Exam Review Sheet

17
Final Exam
8:00 a.m. - 9:45 a.m.
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mark parker