Math 233: Multivariable Calculus

Fall Semester 2005

August
MondayTuesdayWednesday ThursdayFriday
22
Course Introduction, Multivariable Functions

WebWork Homework Tutorial

Homework 1:
Section 12.1: math.carroll.edu
Due on: 11:59pm Thurs, 25 Aug

Clicker Qs: 12-1.ppt

23
Recitation
24
Multivariable Functions and Contour Diagrams:
Sections 12.2, 12.3

Homework 2:
Sections 12.2 and 12.3: math.carroll.edu
Due on: 11:59pm Sun, 28 Aug

Clicker Qs: 12.2-3.ppt

25
Lab 1: Surfaces and Elephants
Sample Lab Report
Sections 12.2, 12.3

Due Today: Homework 1

26
Linear Functions and Functions of 3 Variables:
Sections 12.4, 12.5

Homework 3:
Sections 12.4 and 12.5: math.carroll.edu
Due on: 11:59pm Tues, 30 Aug

Clicker Qs: 12.4-5.ppt

29
Vectors:
Sections 13.1, 13.2

Due Today: Lab 1

vectors!

Homework 4:
Sections 13.1 and 13.2: math.carroll.edu
Due on: 11:59pm Thurs, 1 Sep

30
Recitation

Due Today: Homework 3

31
Dot Product:
Section 13.3

Dot Product

Homework 5:
Section 13.3: math.carroll.edu
Due on: 11:59pm Mon, 5 Sep

Clicker Qs: 13.3.ppt



 
September
MondayTuesdayWednesdayThursdayFriday



1
Lab 2: Pointing this way and that!

Due Today: Homework 4

2
Dot Product:
Section 13.3

Homework 6:
Sections 13.3 and 13.4: math.carroll.edu
Due on: 11:59pm Wed, 7 Sep

5
No School - Labor Day
6
Recitation
7
Cross Product:
Sections 13.4

Due Today: Homework 6

Cross Product

Clicker Qs: 13.4.ppt

8
Chapter 13 Wrap Up

Clicker Qs: review.doc

9
Exam 1
Sections 12.1-12.5, 13.1-13.4
12
Partial Derivatives:
Sections 14.1, 14.2

Partial Derivatives

Homework 8:
Sections 14.1 and 14.2: math.carroll.edu
Due on: 11:59pm Thurs, 15 Sep

Clicker Qs: 14.1-2.ppt

13
Recitation
14
Local Linearity:
Section 14.3

Local Linearity

Homework 9:
Section 14.3: math.carroll.edu
Due on: 11:59pm Sun, 18 Sep

Clicker Qs: 14.3.ppt

15
Lab 3: The Gradient Knows
Section 14.4

Due Today: Homework 8

16
Directional Derivatives and the Gradient:
Section 14.4

Gradient

Homework 10:
Section 14.4: math.carroll.edu
Due on: 11:59pm Tues, 20 Sep

Clicker Qs: 14.4.ppt

19
Gradient:
Section 14.5

Homework 11:
Section 14.5: math.carroll.edu
Due on: 11:59pm Thurs, 22 Sep

20
Recitation

Due Today: Homework 10

21
Multivariable Chain Rule:
Section 14.6

Chain Rule Worksheet

Homework 12:
Section 14.6: math.carroll.edu
Due on: 11:59pm Mon, 26 Sep

22
Multivariable Chain Rule and the Total Differential
Sections 14.3, 14.6

Due Today: Homework 11

Chain Rule Challenges Worksheet

Homework:
Chain Rule Challenges Worksheet
Due on: Mon, 26 Sep (class)

23
Second Order Partial Derivatives:
Section 14.7

Homework 13:
Section 14.7: math.carroll.edu
Due on: 11:59pm Tue, 27 Sep

26
Local/Global Optimization:
Sections 15.1 - 15.2

Due Today: Homework 12 and
Chain Rule Challenges Worksheet

Homework 14:
Sections 15.1 and 15.2 math.carroll.edu
Due on: Thurs, 29 Sep

27
Recitation

Due Today: Homework 13

28
Optimization Models:

Real Optimization Handout

Homework 15:
Sections 15.2 and 15.3 math.carroll.edu
Due on: Tues, 11 Oct

29
Lab 4: Optimization
Sections 15.1 - 15.3

Due Today: Homework 14

30
Constrained Optimization:
Section 15.3

Optimization Formulation Worksheet

 
October
MondayTuesdayWednesdayThursdayFriday
3
No Classes - Fall Break
4
No Classes - Fall Break
5
No Classes - Fall Break
6
No Classes - Fall Break
7
No Classes - Fall Break
10
Constrained Optimization:
Section 15.3

Sample Exam 2

Sample Exam 2 solutions

11
Recitation

Due Today: Homework 15

12
Exam 2
Sections 14.1-14.7, 15.1-15.3
13
Mentoring Field Trip:
Forest Service Fire Behavior Research Laboratory in Missoula
open to all students in CS, Math, and Engineering
14
Multivariable Integration:
Section 16.1

Great Dirt Pile Worksheet

Homework WS1:
Worksheet
Due on: Tues, 18 Oct

17
Iterated Integrals:
Section 16.2

Handout: Iterated Integrals Worksheet

Homework WS2:
Iterated Integrals Worksheet II
Due on: Thurs, Oct 20

18
Lab 5: Visualizing Double Integrals (Java applet)
Lab Handout

Due Today: Homework WS1

19
Triple Integrals:
Section 16.3

Homework 16:
Section 16.3 math.carroll.edu
Due on: Mon, 24 Oct

20
Recitation

Due Today: Homework WS2

21
Polar and Cylindrical Coordinates
Section 16.4, 16.5

Polar and Cylindrical Worksheet

MathWorld Cylindrical Coordinates Primer

Homework 17:
Sections 16.4 and 16.5 math.carroll.edu
Due on: Tues, 25 Oct

24
Spherical Coordinates
Section 16.5

Due Today: Homework 16

Spherical Worksheet

MathWorld Spherical Coordinates Primer

Homework 18:
Section 16.5 math.carroll.edu
Due on: Thurs, 27 Oct

25
Recitation

Due Today: Homework 17

26
Integration Wrap Up

Homework 19:
Sections 16.2 - 16.5 math.carroll.edu
Due on: Mon, 31 Oct

27
Lab 6: Masses, Moments, and Centroids, Oh My!

Due Today: Homework 18

28
Parameterization Intro

Parameterization Worksheet

Homework 20:
Section 17.1 math.carroll.edu
Due on: Wed, 2 Nov

31
Motion, Velocity, and Acceleration
Section 17.1, 17.2

Due Today: Homework 19

Motion, Velocity, and Acceleration Worksheet

Homework 21:
Section 17.2 math.carroll.edu
Due on: Thurs, Nov 3

 
November
MondayTuesdayWednesdayThursdayFriday

1
Recitation
2
Vector Fields and Flows
Sections 17.3 and 17.4

Due Today: Homework 20

vector fields worksheet

Homework 22:
Sections 17.3 and 17.4 math.carroll.edu
Due on: Mon, 7 Nov

3
Project: Alpine Slide Design

Due Today: Homework 21

4
Parameterization and Vector Field Wrap Up
7
Review

Due Today: Homework 22

Clicker Qs: 16n17.ppt

8
Exam 3
9
What is a Line Integral?
Section 18.1

line integrals worksheet

Homework 23:
Section 18.1 math.carroll.edu
Due on: Mon, 14 Nov

10
Recitation
11
Line Integrals II
Section18.2

Line Integrals II Worksheet

Homework 24:
Section 18.2 math.carroll.edu
Due on: Wed, 16 Nov

14
LIne Integrals via Parameterization
Sections 18.2, 18.3

Due Today: Homework 23

15
Recitation
16
Conservative Vector Fields, Green's Theorem
Section 18.3

Due Today: Homework 24

Fundamental Theorem Worksheet

Green's Theorem Worksheet

Homework WS3:
WS3: Fundamental Theorem Worksheet
Due on: Mon, Nov 21

17
Green's Theorem
Section 18.4

Homework WS4:
WS4: Green's Theorem Worksheet
Due on: Mon, Nov 21

18
Line Integrals Wrap -Up
Sections 18.1 - 18.4

Line Integrals Review

Homework WS5:
WS5: Line Integrals Review Worksheet
Due on: Mon, Nov 28

21
Flux Integrals
Section 19.1

Due Today: Homework WS3 and WS4

Homework WS6:
WS6: Flux Integrals Worksheet
Due on: Wed, Nov 30

22
Flux Integrals over Symmetric Surfaces
Section 19.2

Due Today: Project Draft

Flux Integrals II Worksheet

23
No Classes - Thanksgiving Break
24
No Classes - Thanksgiving Break
25
No Classes - Thanksgiving Break
28
Divergence
Section 20.1

Due Today: Homework WS5

Homework WS7:
WS7: Divergence Worksheet
Due on: Thurs, Dec 1

29
Recitation
30
Divergence II
Section 20.2

Due Today: Homework WS6

Homework 25:
Line Integrals: math.carroll.edu
Due on: Wed, 7 Dec

 
December
MondayTuesdayWednesdayThursdayFriday

1
Curl
Section 20.3

Due Today: Homework WS7

Curl Worksheet

Homework 26:
Flux: math.carroll.edu
Due on: Wed, 7 Dec

2
Flux Integrals
Section 20.4

Homework 27:
Flux: math.carroll.edu
Due on: Fri, 9 Dec

5
Vector Calculus Wrap Up

Vector Calculus Review Sheet
6
Project Presentations
7
Project Presentations
8
Project Presentations
9
Review

Final Exam Review Sheet
12
Final Exam
8:00 a.m. - 9:45 a.m. or
3:00 p.m. - 4:45 p.m.
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25
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mark parker
Last modified: 12 December 2005