Math 233: Multivariable Calculus

Fall Semester 2006

August
MondayTuesdayWednesday ThursdayFriday
21
Course Introduction, Multivariable Functions

WebWork Homework Tutorial

Homework 1:
Section 12.1: math.carroll.edu
Due on: 11:59pm Thurs, 24 Aug

22
Recitation
23
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 Mon, 28 Aug

24
Lab 1: Surfaces and Elephants
Sample Lab Report
Sections 12.2, 12.3

Due Today: Homework 1

25
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 Wed, 30 Aug

28
Vectors:
Sections 13.1, 13.2

Due Today: Homework 2

vectors!

Homework 4:
Sections 13.1 and 13.2: math.carroll.edu
Due on: 11:59pm Thurs, 31 Aug

29
Recitation

Due Today: Homework 3

30
Dot Product:
Section 13.3

Due Today: Homework 3

Dot Product

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

31
Lab 2: Pointing this way and that!

Due Today: Homework 4


 
September
MondayTuesdayWednesdayThursdayFriday




1
Dot Product & Cross Product:
Section 13.3 & 13.4

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

4
No School - Labor Day
5
Recitation

Due Today: Homework 5

6
Cross Product:
Sections 13.4

Due Today: Homework 6

Cross Product

7
Chapter 13 Wrap Up
8
Exam 1
Sections 12.1-12.5, 13.1-13.4
11
Partial Derivatives:
Sections 14.1, 14.2

Partial Derivatives

Homework 7:
Sections 14.1 and 14.2: math.carroll.edu
Due on: 11:59pm Thurs, 14 Sep

12
Recitation
13
Local Linearity:
Section 14.3

Local Linearity

Homework 8:
Section 14.3: math.carroll.edu
Due on: 11:59pm Mon, 18 Sep

14
Lab 3: The Gradient Knows
Section 14.4

Due Today: Homework 7

15
Directional Derivatives and the Gradient:
Section 14.4

Gradient

Homework 9:
Section 14.4: math.carroll.edu
Due on: 11:59pm Wed, 20 Sep

18
Gradients and Directional Derivatives in Space:
Section 14.5

Due Today: Homework 8

Homework 10:
Section 14.5: math.carroll.edu
Due on: 11:59pm Thurs, 21 Sep

19
Recitation
20
Multivariable Chain Rule:
Section 14.6

Due Today: Homework 9

Chain Rule Worksheet

Homework 11:
Section 14.6: math.carroll.edu
Due on: 11:59pm Mon, 25 Sep

21
Multivariable Chain Rule and the Total Differential
Sections 14.3, 14.6

Due Today: Homework 10

Chain Rule Challenges Worksheet

22
Second Order Partial Derivatives:
Section 14.7

Homework 12:
Section 14.7: math.carroll.edu
Due on: 11:59pm Wed, 27 Sep

25
Local/Global Optimization:
Sections 15.1 - 15.2

Due Today: Homework 11

Homework 13:
Sections 15.1 and 15.2 math.carroll.edu
Due on: Thurs, 28 Sep

26
Recitation
27
Optimization Models:

Real Optimization Handout

Due Today: Homework 12

Homework 14:
Sections 15.2 and 15.3 math.carroll.edu
Due on: Mon, 2 Oct

28
Lab 4: Optimization

Sections 15.1 - 15.3

Due Today: Homework 13

29
Constrained Optimization:
Section 15.3

Optimization Formulation Worksheet

Homework 15:
math.carroll.edu
Due on: Tues, 3 Oct

 
October
MondayTuesdayWednesdayThursdayFriday
2
Constrained Optimization:
Section 15.3

Due Today: Homework 14

Sample Exam 2

Sample Exam 2 solutions

3
Recitation

Due Today: Homework 15

4
Exam 2
Sections 14.1-14.7, 15.1-15.3
5
6
Multivariable Integration:
Section 16.1

Great Dirt Pile Worksheet

Homework 16:
math.carroll.edu
Due on: Wed, 18 Oct

9
No Classes - Fall Break
10
No Classes - Fall Break
11
No Classes - Fall Break
12
No Classes - Fall Break
13
No Classes - Fall Break
16
Iterated Integrals:
Section 16.2

Handout: Iterated Integrals Worksheet

Iterated Integrals Worksheet II

Homework 17:
math.carroll.edu
Due on: Thurs, 19 Oct

17
Recitation
18
Triple Integrals:
Section 16.3

Due Today: Homework 16

Homework 18:
Section 16.3 math.carroll.edu
Due on: Mon, 23 Oct

19

Due Today: Homework 17

Lab 5: Visualizing Double Integrals (Java applet)
Lab Handout
20
Polar and Cylindrical Coordinates
Section 16.4, 16.5

Polar and Cylindrical Worksheet

MathWorld Cylindrical Coordinates Primer

Homework 19:
Sections 16.4 and 16.5 math.carroll.edu
Due on: Wed, 25 Oct

23
Spherical Coordinates
Section 16.5

Due Today: Homework 18

Spherical Worksheet

MathWorld Spherical Coordinates Primer

Homework 20:
Section 16.5 math.carroll.edu
Due on: Thurs, 26 Oct

24
Recitation
25
Integration Wrap Up

Due Today: Homework 19

Homework 21:
Sections 16.2 - 16.5 math.carroll.edu
Due on: Mon, 31 Oct

26
Lab 6: Masses, Moments, and Centroids, Oh My!

Due Today: Homework 20

27
Parameterization Intro

Parameterization Worksheet

Homework 22:
Section 17.1 math.carroll.edu
Due on: Wed, 1 Nov

30
Motion, Velocity, and Acceleration
Section 17.1, 17.2

Due Today: Homework 21

Motion, Velocity, and Acceleration Worksheet

Homework 23:
Section 17.2 math.carroll.edu
Due on: Thurs, Nov 2

31
Recitation



 
November
MondayTuesdayWednesdayThursdayFriday


1
Vector Fields and Flows
Sections 17.3 and 17.4

Due Today: Homework 22

vector fields worksheet

Homework 24:
Sections 17.3 and 17.4 math.carroll.edu
Due on: Mon, 7 Nov

2
Project: Color Mural Design

Due Today: Homework 23

3
Parameterization and Vector Field Wrap Up
6
Review

Due Today: Homework 24

Clicker Qs: 16n17.ppt

7
Recitation
8
Exam 3
9
What is a Line Integral?
Section 18.1

line integrals worksheet

Homework 25:
Section 18.1 math.carroll.edu
Due on: Mon, 13 Nov

10
Line Integrals II
Section18.2

Line Integrals II Worksheet

Homework 26:
Section 18.2 math.carroll.edu
Due on: Wed, 15 Nov

13
LIne Integrals via Parameterization
Sections 18.2, 18.3

Due Today: Homework 25

Homework 27:
Section 18.2 & 18.3 math.carroll.edu
Due on: Thurs, 16 Nov

14
Recitation
15
Conservative Vector Fields
Section 18.3

Due Today: Homework 26

Fundamental Theorem Worksheet

Green's Theorem Worksheet

Fundamental Theorem Worksheet

Homework 28:
Section 18.3 math.carroll.edu
Due on: Tues, 21 Nov

16
Lab 7: Curly Vector Fields

Due Today: Homework 27

Green's Theorem Worksheet
17
Green's Theorem
Section 18.4

Line Integrals Review

Line Integrals Review Worksheet

Homework 29:
Section 18.4 math.carroll.edu
Due on: Mon, 27 Nov

20
Flux Integrals
Section 19.1
Flux Integrals Worksheet
Due on: Wed, Nov 30

Homework 30:
Section 19.1 math.carroll.edu
Due on: Wed, 29 Nov

21
Recitation and Work on Projects

Due Today: Homework 28

Due Today: Project Draft

22
No Classes - Thanksgiving Break
23
No Classes - Thanksgiving Break
24
No Classes - Thanksgiving Break
27
Flux Integrals over Symmetric Surfaces
Section 19.2

Flux Integrals II Worksheet

Due Today: Homework 29

Homework 31:
Section 20.1 math.carroll.edu
Due on: Thurs, 30 Nov

28
Recitation
29
Divergence
Section 20.1 & 20.2
Divergence Worksheet

Due Today: Homework 30

Homework 32:
Line Integrals: math.carroll.edu
Due on: Mon, 4 Dec

30
Curl
Section 20.3

Due Today: Homework 31

Curl Worksheet

 
December
MondayTuesdayWednesdayThursdayFriday




1
Flux Integrals
Section 20.4

Homework 33:
Flux: math.carroll.edu
Due on: Wed, 6 Dec

4
Vector Calculus Wrap Up

Vector Calculus Review Sheet

Due Today: Homework 32

Homework 34:
Vector Calculus: math.carroll.edu
Due on: Fri, 8 Dec

5
Project Presentations
6
Project Presentations

Due Today: Homework 33

7
Project Presentations
8
Review

Due Today: Homework 34

Final Exam Review Sheet
11
12
Final Exam
8:00 a.m. - 9:45 a.m.
13
14
15

kelly cline