Math 233: Multivariable Calculus

Fall Semester 2004

Monday

Tuesday

Wednesday

Thursday

Friday

Aug 23 Lesson: Course Introduction, Multivariable Functions

Handouts: Calculus Primer
Due on: Friday, Aug 27

Homework Grading Standards

Homework 1:
Section 12.1: 1, 4, 8, 14, 19, 22, 24
Good Problem: #11
Due on: Thurs, 26 Aug

Aug 24 Recitation: Simperman 147

Mathematica Review

Aug 25 Lesson: Multivariable Functions

Reading: Sections 12.1, 12.2

Homework 2:
Section 12.2: 6, 8, 9, 15, 16, 17, 18
Due on: Fri, 27 Aug

Aug 26 Lab 1: Multivariable Functions

Due Today: Homework 1

Reading: Sections 12.2, 12.3

Check Out: Sample Lab Report

Aug 27 Lesson: Contour Diagrams

Due Today: Calculus Primer, Homework 2

Reading: Section 12.3

Handout: contour diagrams

Homework 3:
Section 12.3: 2, 3, 10, 11, 19, 20
Due on: Wed, 1 Sep

Aug 30 Lesson: Linear Functions

Reading: Section 12.4

Homework 4:
Section 12.4: 4, 6, 7-10, 13, 14, 16, 20-22
Due on: Thurs, 2 Sep

Aug 31 Recitation Homework day

Due Today: Lab 1

Sep 1 Lesson: Functions of 3 Variables

Due Today: Homework 3

Reading: Section 12.5

Homework 5:
Section 12.5: 1, 2, 4, 14, 16, 26
Due on: Fri, 3 Sep

Sep 2 Lab 2: Cylinders, Hyperboloids, and Ellipsoids - Oh My!

Due Today: Homework 4

Sep 3 Lesson: Limits and Continuity

Due Today: Homework 5

Reading: Section 12.6

Handout: Limits and Continuity

Homework 6:
Section 12.6: 1-4, 15, 16
Due on: Wed, 8 Sep

Sep 6 Labor Day

No Class

Sep 7 Recitation Homework day

Sep 8 Lesson: Vectors

Due Today: Homework 6,
Lab 2

Reading: Sections 13.1, 13.2

Homework 7:
Section 13.1: 4, 12, 15, 16, 21, 22, 31
Section 13.2: 9, 11, 12, 14, 16, 21

Due on: Mon, 13 Sep

Handout: vectors!

Sep 9 No Class

Big Sky Conference in Missoula

Sep 10 Lesson: Dot Product

Reading: Section 13.3

Homework 8:
Section 13.3: 2, 7, 10, 18, 19, 28, 32, 33
Solutions Posted

Handout: Dot Product

Sep 13 Lesson: Dot and Cross Product

Due Today: Homework 7

Reading: Section 13.4

Handout: Cross Product

Sep 14 Recitation Homework day

Review Problems:
Chapter 12 (p. 600): 8, 10, 14, 15-19, 22
Chapter 13 (p. 635): 9, 11, 15, 17, 21, 25, 32

Solutions Posted

Sep 15 Lesson: Review

Clicker Questions: Exam 1 Review

Sep 16 Exam 1

Meet in Classroom!

Covering: Chapters 12 and 13

Sep 17 Lesson: Cross Product and Vectors Wrap up

Reading: Sections 13.1 - 13.4

Sep 20 Lesson: Partial Derivatives

Reading: Sections 14.1, 14.2

Homework 9:
Section 13.4: 4, 7, 12, 13, 18
Section 14.1: 3, 6, 7, 13, 15
Section 14.2: 2, 8, 16, 37, 44

Due on: Thurs, 23 Sep

Handout: Partial Derivatives

Sep 21 Recitation Homework day

Sep 22 Lesson: Local Linearity

Reading: Section 14.3

Homework 10:
Section 14.3: 2, 6, 9, 14, 19, 20, 21, 22
Due on: Monday, 27 Sep

Clicker Questions: Section 14.1-3

Extras: Local Linearity

Sep 23 Lab 3: The Gradient and Directional Derivatives

Due Today: Homework 9

Sep 24 Lesson: Directional Derivatives and the Gradient

Reading: Sections 14.4

Homework 11:
Section 14.4: 6, 16, 23, 32, 45, 49, 51, 52, 55, 58, 67
Due on: Wed, 29 Sep

Extras: Gradient

Sep 27 Lesson: Gradient

Due Today: Homework 10

Reading: Section 14.5

Homework 12:
Section 14.5: 4, 12, 15, 17, 26, 27, 29
Due on: Thurs, 30 Sept

Sep 28 Recitation Homework day

Sep 29 Lesson: Multivariable Chain Rule

Due Today: Homework 11

Reading: Section 14.6

Homework 13:
Section 14.6: 2, 8, 18, 19
Due on: Mon, 11 Oct

Handout: Chain Rule Worksheet

Check Out: Worksheet Solutions

Sep 30 Lesson: Multivariable Chain Rule and the Total Differential

Due Today: Homework 12

Reading: Sections 14.3, 14.6

Handout: Physical Chemistry Worksheet

Oct 1 Lesson: Second Order Partial Derivatives

Reading: Section 14.7

Homework 14:
Section 14.7: 5, 19 - 27, 33, 35
Due on: Wed, 13 Oct

Oct 4 Fall Break

Campus Closed

Oct 5 Fall Break

Campus Closed

Oct 6 Fall Break

Campus Closed

Oct 7 Fall Break

Campus Closed

Oct 8 Fall Break

Campus Closed

Oct 11 Lesson: Local and Global Optimization

Due Today: Homework 13

Reading: Sections 15.1 - 15.2

Homework 15:
Section 15.1: 1, 2, 5, 14, 15, 24
Section 15.2:

Due on: Thurs, 14 Oct

Oct 12 Recitation: Homework Day

Oct 13 Lesson:
The Hessian and Unconstrained Optimization

Due Today: Homework 14

Reading: Hessians Handout

Handout: Optimization Worksheet

Homework 16:
Section 15.2: 11, 13, 18, 19, 20
Solutions Posted

Oct 14 Lab 4: Optimization

Due Today: Homework 15

Oct 15 Lesson: Constrained Optimization

Reading: Section 15.3

Handout: Optimization Formulation Worksheet

Homework 17:
Section 15.3: 3, 5, 21, 28
Solutions Posted

Oct 18 Lesson: Constrained Optimization

Exam 2 Review Questions:
Chapter 14 Review (p. 695): 6, 11, 14, 18, 26, 31, 37, 45, 49
Chapter 15 Review (p. 728): 2, 6, 10, 18, 27, 28, 32

Solutions Posted

Oct 19Recitation: Homework Day

Oct 20 Lesson: Optimization Wrap Up

Oct 21 Exam 2
Covering Chapters 14 and 15

Oct 22 Lesson: Multivariable Integration

Reading: Section 16.1

Handout: Fox Population Worksheet

Homework 18:
Section 16.1: 6, 10, 11, 13, 30
Due on: Tue, 26 Oct

Oct 25 Lesson: Iterated Integrals

Reading: Section 16.2

Handout: Iterated Integrals Worksheet

Solutions: Iterated Integrals

Homework 19:
Section 16.2: 4, 6, 10, 12, 14, 26, 35
Due on: Fri, 29 Oct

Oct 26 Lab 5: Double Integrals

Due Today: Homework 18

Oct 27 Lesson: Triple Integrals

Reading: Section 16.3

Homework 20:
Section 16.3: 2, 14, 37, 39, 41, 44
Due on: Wed, 3 Nov

Oct 28 Recitation:
Homework Day

Oct 29 Lesson: Polar and Cylindrical Coordinates

Due Today: Homework 19

Reading: Sections 16.4, 16.5

Handout: Polar and Cylindrical Worksheet

Homework 21:
Section 16.4: 1, 2, 8, 10, 16, 19, 20, 26
Section 16.5: 1, 15, 20, 35

Due on: Thurs, 4 Nov

Nov 1 Lesson: Spherical Coordinates

Reading: Section 16.5

Homework 22:
Section 16.5: 3, 5 - 11, 24, 29
Due on: Mon, 8 Nov

Nov 2 Recitation Homework Day

Nov 3 Lesson: Integration Wrap Up

Due Today: Homework 20

Reading: Sections 16.1 - 16.5

Nov 4 Lab 6: Masses, Moments, and Centroids, Oh My!

Due Today: Homework 21

Nov 5 Lesson: Integration Wrap Up II

Handout: Integration Problems

Homework 23:
Handout
Due on: Wed, 10 Nov

Nov 8 Lesson: Parameterizations

Due Today: Homework 22

Reading: Section 17.1

Handout: Project
Grading Rubric

Homework 24:
Worksheet
Due on: Fri, 12 Nov

Nov 9 Recitation: Homework Day

Nov 10 Lesson: Motion, Velocity, and Acceleration

Due Today: Homework 23

Reading: Section 17.2

Handout: Motion, Velocity, and Acceleration Worksheet

Homework 25:
Handout
Due on: Mon, 15 Nov

Nov 11 Lab 7: Dick and Jane have fun with Parameterizations

Nov 12 Lesson: Vector Fields and Flows

Due Today: Homework 24

Reading: Sections 17.3, 17.4

Handout: vector fields

Homework:
Handout
Solutions Posted

Nov 15 Lesson: Vector Fields and Flows II

Due Today: Homework 25

Reading: Sections 17.3, 17.4

Nov 16 Recitation Homework Day

Review Problems:
Chapter 16 (p 778): 3, 4, 5 - 9, 16, 36, 41
Chapter 17 (p 819): 2, 5, 15, 16, 27, 28, 29

Solutions Posted

Nov 17 Lesson: Review

Nov 18 Exam 3

Covering: Sections 16.1 - 16.5, 17.1 - 17.4

Nov 19 Lesson: What is a Line Integral?

Reading: Section 18.1

Handout: line integrals

Homework 26:
Handout
Due on: Mon, 29 Nov

Nov 22 Lesson: Line Integrals and Conservative Vector Fields

Reading: Sections 18.2, 18.3

Handouts: Conservative Fields Worksheet

Homework 27:
Handout
Due on: Wed, 1 Dec

Nov 23 Recitation Homework Day

Due Today: Project Draft

Nov 24 Thanksgiving Break

No Class

Nov 25 Thanksgiving

No Class

Nov 26 Thanksgiving Break

No Class

Nov 29 Lesson: Mr. Green and the Conservatives

Due Today: Homework 26

Reading: Sections 18.3, 18.4

Handouts: Green's Theorem Worksheet

Homework 28:
Handout
Due on: Fri, 3 Dec

Nov 30 Recitation Homework Day

Dec 1 Lesson: Line Integrals Wrap-up

Due Today: Homework 27

Reading: Sections 18.1-18.4

Handouts: Line Integrals Review

Homework 29:
Handout
Due on: Mon, 6 Dec

Dec 2 Lab 8: Flux Integrals

Reading: Sections 19.1, 19.2

Handouts: Flux Integrals Worksheet

Homework 30:
Handout
Due on: Wed, 8 Dec

Dec 3 Lesson: Flux Integrals II

Due Today: Homework 28

Reading: Section 19.2

Handouts: Flux Integrals II Worksheet

Homework 31:
Handout
Due on: Thur, 9 Dec

Dec 6 Lesson: Divergence

Due Today: Homework 29

Reading: Section 20.1

Handouts: Divergence Worksheet

Homework 32:
Handout
Solutions Posted

Dec 7 Recitation

 

Dec 8 Presentations

Due Today: Projects
Homework 30

Dec 9 Presentations

Due Today: Homework 31

Dec 10 Lesson: Review

FINAL EXAM PERIOD: Wednesday Dec 15
8:00 - 9:45


mark parker
Last modified: 1 December 2004