Math 233: Multivariable Calculus and Linear Algebra

Fall Semester 2002

Monday

Tuesday

Wednesday

Thursday

Friday

Aug 26 Lesson: Course Introduction, Calculus Review

Handout: Calculus Primer
Due on: Tuesday, Sept 3

Aug 27 Lesson: Vectors

Reading: Section 9.1

Handout: Vectors!

Homework: #1
Section 9.1 (p. 726): 1, 3, 6, 9, 13, 17, 19, 25, 40, 49, 51
Due on: Friday, Aug 30

Aug 28 Lesson: Dot Products

Reading: Section 9.2

Aug 29 Lab 0: Mathematica Review

Reading: none

Aug 30 Lesson: Dot Products and
Vector Valued Functions

Due Today: Homework #1
Checkout: Homework Grading Standards

Reading: Sections 9.2, 9.3

Handout: Dot Product!

Homework: #2
Section 9.2 (p. 735): 2, 9, 13, 19, 21, 22, 25, 26, 27, 32, 35
Due on: Thursday, Sept 5

Sep 2 Labor Day

No Class

Sep 3 Lesson: Vector Valued Functions

Due Today: Calculus Primer

Reading: Section 9.3

Homework: #3
Section 9.3 (p. 746): 1, 5, 9, 13, 15, 19, 26, 29, 33
Due on: Friday, Sept 6

Sep 4 Lesson: Modeling Projectile Motion
actually... calculus review problems...

Reading: Section 9.4

Sep 5 Lab 1: Lab Fun with Parametric Equations

Due Today: Homework #2

Big Sky Conference in Missoula

Sep 6 Lesson: Modeling Projectile Motion

Due Today: Homework #3

Reading: Section 9.4

Homework: #4
Section 9.4 (p. 757): 3, 13
Due on: Tuesday, Sept 10

Sep 9 Lesson: Walking in Space, Vectors in 3-D, and More Dot Product
actually... calculator overview and walking in space...

Checkout: Exam 1 from last year

Reading: Sections 10.1, 10.2

Homework: #5
Section 10.1: 33, 39c, 57, 58
Section 10.2: 4, 17, 23
NOT Due: SUGGESTED PROBLEMS

Sep 10 Lesson: Cross Product

Due Today: Homework #4

Reading: Sections 10.2, 10.3

Handout: Dot and Cross Products

Sep 11 Lesson: Review

Reading: Sections 10.3, 10.5

Study Session:
6:45 - 7:45

Sep 12 Exam 1  

Covering: Sections 9.1 - 9.4 and 10.1 - 10.2

Due Today: Lab #1

Checkout: Lab 1 Sample Report

Sep 13 Lesson: Equations of a Plane and Space Curves

Reading: Sections 10.3 and 10.5

Homework: #6
Section 10.3 (p. 813): 3, 7, 15, 33
Section 10.5 (p. 835): 3, 26
Due on: Tuesday, Sept 17

Sep 16 Lesson: Tangent Vectors and Arc Length

Reading: Section 10.6

Handout: Motion Worksheet

Homework: #7
Section 10.5 (p. 835): 6, 13
Section 10.6 (p. 846): 1, 4, 11, 17
Due on: Monday, Sept 23

Sep 17 Lesson: The TNB Frame

Due Today: Homework #6

Reading: Section 10.7

Handout: Acceleration Worksheet

Homework: #8
Section 10.7 (p. 854): 1, 3, 5, 17, 18, 19
Due on: Tuesday, Sept 24

Sep 18 Lesson: Work on Space Curves and TNB Frame

Reading: Sections 10.5 - 10.7

Beyond Boundaries Conference

Sep 19 Lab 2: Work on Space Curves and TNB Frame

Reading: Sections 10.5 - 10.7

Beyond Boundaries Conference

Sep 20 Lesson: Work on Space Curves and TNB Frame

Reading: Sections 10.5 - 10.7

Beyond Boundaries Conference

Sep 23 Lesson: Multivariable Functions

Due Today: Homework #7

Reading: Section 11.1

Sep 24 Lesson: Multivariable Functions

Due Today: Homework #8

Solutions: Homework #8 solutions (Mathematica)

Reading: Section 11.1

Handout: Contours Worksheet

Mathematica Demo: Contour Animations

Sep 25 Lesson: Surfaces and Curves

Reading: Section 11.1

Homework: #9
Section 10.4 (p. 824): 1 - 12
Section 11.1 (p. 880): 13 - 18, 19, 21, 24, 25 Due on: Monday, Sept 30

Sep 26 Lab 3: Multivariable Functions

Due Today: Lab #2

Reading: Section 11.1

Study Session:
7:15 - 8:00

Sep 27 Lesson: Partial Derivatives, Limits and Continuity

Reading: Sections 11.2 and 11.3

Handout: Partial Derivatives Worksheet

PowerPoint: Partial Derivatives

Checkout: Exam 2 from last year

Sep 30 Lesson: Directional Derivatives and the Gradient

Due Today: Homework #9

Reading: Section 11.5

Handout: Gradient Worksheet

Oct 1 Lesson: Directional Derivatives and the Gradient

Reading: Section 11.5

Study Session:
6:45 - 7:45

Oct 2 Lesson: Directional Derivatives and Review

Reading: Section 11.5

Handout: Partial Derivative Worksheet

Oct 3 Exam 2

Covering: Sections 10.3 - 10.7, 11.1, 11.3, and 11.5

Oct 4 Lesson: Higher Order Partial Derivatives

Reading: Section 11.3

Oct 7 Fall Break

Campus Closed

Oct 8 Fall Break

Campus Closed

Oct 9 Fall Break

Campus Closed

Oct 10 Fall Break

Campus Closed

Oct 11 Fall Break

Campus Closed

Oct 14 Lesson: Multivariable Chain Rule

Reading: Section 11.4

Handout: Chain Rule Worksheet

Check Out: Worksheet Solutions

Homework: #10
Section 11.4 (p. 908): 1, 9, 39, 40
Due on: Wednesday, Oct 16

Oct 15 Lesson: Local Linearity and Tangent Planes

Reading: Sections 11.5, 11.6

Handout: Local Linearity Worksheet

Oct 16 Lesson: Total Differential

Due Today: Homework #10

Reading: Section 11.6

Handout: Optimization Worksheet

Homework: #11
Section 11.5 (p. 923): 38
Section 11.6 (p. 934): 1, 2, 13, 14, 15
Due on: Friday, Oct 18

Oct 17 Lab 4: Optimization

Reading: Section 11.7

Oct 18 Lesson: Optimization: Classifying Critical Points

Due Today: Homework #11

Reading: Section 11.7

Homework: #12
Section 11.7 (p. 944): 1, 12, 27, 29, 41
Due on: Tuesday, Oct 22

Oct 21 Lesson: Hessians and Unconstrained Optimization

Due Today: Lab #4

Reading: Hessians Handout

Oct 22 Lesson: Unconstrained Optimization

Due Today: Homework #12
Lab #4

Reading: Section 11.8

Oct 23 Lesson: Constrained Optimization

Reading: Section 11.7

Oct 24 Lab 5: Constrained Optimization

Homework: #13
Section 11.8: 34
Due on: Tuesday, Oct 29

Oct 25 Lesson: La Grange Multipliers and Constrained Optimization

Reading: Section 11.8

Oct 28 Lesson: Optimization: Multiple Constraints

Homework: #14
Section 11.8: 1, 4, 15, 31
Due on: Thursday, Oct 31

Oct 29 Lesson: Optimization: Multiple Constraints
Inequality Constraints

Due Today: Lab #5
Homework #13

Oct 30 Lesson: Differential and Chain Rule Again

Reading: Section 11.4

Handout: Physical Chemistry Worksheet

Homework:
Worksheet Problems
Due on: Monday, Nov 4

Oct 31 Lab 6: Constrained Optimization, Part II

Due Today: Homework #14

Nov 1 Lesson: Multivariable Integration

Reading: Section 12.1

Nov 4 Lesson: Multivariable Integration

Due Today: Physical Chemistry Worksheet Problems

Reading: Section 12.1

Handouts: Iterated Integrals Worksheet
Solution
More Iterated Integrals Worksheet

Project 1 Handouts: Project 1
Report Writing Guide

Nov 5 Lesson: Double Integrals: Applications

Due Today: Lab #6

Reading: Section 12.2

Nov 6 Lesson: Double and Triple Integrals

Due Today: Project 1 Team names

Reading: Sections 12.1, 12.4

Homework: #17
Section 12.1: 24, 33, 41
Section 12.2: 9, 19, 23, 32
Section 12.4: 23, 27
Section 12.5: 3, 5, 15
Due on: Monday, Nov 11

Nov 7 Lab 7: Masses, and Moments, and Centroids, OH MY!

Reading: Sections 12.1, 12.2, 12.4, 12.5

Nov 8 Lesson: Double and Triple Integrals and Applications

Due Today: Project 1, Requirement 1

Reading: Sections 12.1, 12.2, 12.4, 12.5

Handouts: Triple Integrals, Part I
Triple Integrals Part II

Nov 11 Lesson: Multivariable Integration: Polar Coordinates

Due Today: Homework #17

Reading: Section 12.3

Handouts: Polar Coordinates Worksheet

Homework: Section 12.3 (p. 1005): 1-4, 25, 34
Suggested Problems only: solutions posted Tuesday

Nov 12 Lesson: Multivariable Integration: Cylindrical Coordinates

Due Today: Lab #7

Reading: Section 12.6

Nov 13 Lesson: Multivariable Integration: Spherical Coordinates

Reading: Section 12.6

Check out: Last Year's Exam 3
Review Sheet

Nov 14 Lesson: Applications of Multiple Integrals
Review

Nov 15 Exam 3

Nov 18 Lesson: Test Rehash

Nov 19 John Downs' Funeral

Morning Classes Cancelled

Nov 20 Lesson: Tranformations

Reading: Section 12.7

Homework: #18
Section 12.7: 7, 9, 14
Due on: Tuesday, Dec 3

Nov 21 Lab Work on Projects

Nov 22 Lesson: Vector Fields

Reading: Section 13.1

Nov 25 Lesson: Flows in Vector Fields

Reading: Sections 13.1, 13.2

Nov 26 Lesson: Introduction to Line Integrals

Due Today: Project 1 (by 5:00pm)

Reading: Section 13.1

Nov 27 Thanksgiving Break

No Class

Nov 28 Thanksgiving

No Class

Nov 29 Thanksgiving Break

No Class

Dec 2 Lesson: Line Integrals: Work

Reading: Sections 13.1 - 13.2

Handouts: Line Integrals Worksheet

Suggested Homework:
Section 13.1: 1-8
Section 13.2: 7, 37

Dec 3 Lesson: Circulations, Gradient Fields, and Conservative Fields

Due Today: Homework #18

Reading: Sections 13.2 - 13.3

Handouts: Fundamental Theorem of Calculus for Line Integrals Worksheet

Dec 4 Lesson: Green's Theorem

Reading: Section 13.4

Handouts: Green's Theorem Worksheet

Dec 5 Lab 8: Just Work It! - George Green and the Conservatives

Dec 6 Lesson: Line Integral Wrap Up

Dec 9 Lesson: Flux

Reading: Section 13.2

Handouts: Flux Integral Worksheet

Dec 10 Lesson: Geometric Series

Reading: Section 8.3

Dec 11 Lesson: Series Convergence

Reading: Sections 8.4, 8.5

Dec 12 Lab: Power Series

Reading: Sections 8.6, 8.7

Dec 13 Lesson: Review

FINAL EXAM PERIOD: Tuesday Dec 17
3:00 - 4:45


mark parker
Last modified: 10 December 2002