Math 233: Multivariable Calculus

Fall Semester 2003

Monday

Tuesday

Wednesday

Thursday

Friday

Aug 25 Lesson: Course Introduction, Multivariable Functions

Handout: Calculus Primer
Due on: Friday, Aug 29
Homework Grading Standards

Aug 26 Recitation: Simperman 147

Mathematica Review

Aug 27 Lesson: Multivariable Functions

Reading: Sections 12.1, 12.2

Aug 28 Lab 1: Multivariable Functions

Reading: Section 12.2

Check Out: Sample Lab Report

Aug 29 Lesson: Contour Diagrams

Due Today: Calculus Primer

Reading: Section 12.3

Sep 1 Labor Day

No Class

Sep 2 Recitation

Due Today: Lab 1

Handout: contour diagrams

Homework 1:
Section 12.1: 1, 8, 11, 14, 19, 22, 24, 26
Section 12.2: 8, 9, 15, 16
Section 12.3: 1, 2, 10, 11, 12, 13, 19, 20, 25

Due on: Fri, 5 Sep

Sep 3 Lesson: Contour Diagrams

Reading: Section 12.3

Mentoring Picnic

Sep 4 Lab 2: Contour Plots and Animations

Sep 5 Lesson: Linear Functions

Due Today: Homework 1

Reading: Section 12.4

Homework 2:
Section 12.4: 1-4, 6, 7-10, 13, 16
Due on: Wed, 10 Sep

Sep 8 Lesson: Functions of More than 2 Variables

Reading: Section 12.5

Homework 3:
Section 12.5: 1, 4, 15-20
Due on: Fri, 12 Sep

Sep 9 Recitation Homework day

Due Today: Lab 2

Sep 10 Lesson: Limits and Continuity

Due Today: Homework 2

Reading: Section 12.6

Sep 11 Lab 3: Cylinders, Hyperboloids, and Ellipsoids - Oh My!

Big Sky Conference in Missoula

Sep 12 Lesson: Vectors

Due Today: Homework 3

Reading: Sections 13.1, 13.2

Sep 15 Lesson: Dot Product

Reading: Section 13.3

Handout: vectors!

Homework 4:
Section 13.1: 4, 12, 15, 16, 21, 24, 26
Section 13.2: 9, 11, 14, 16, 21

Due on: Wed, 17 Sep

Sep 16 Recitation Homework day

Sep 17 Lesson: Dot Product

Due Today: Homework 4

Reading: Sections 13.3

Handout: Dot and Cross Product

Sep 18 Lesson: Vectors

Meet in Classroom!

Reading: Sections 13.1-13.3

Sep 19 Exam 1

Covering: Chapters 12 and 13.1 - 13.3

Sep 22 Lesson: Cross Product

Reading: Section 13.4

Sep 23 Recitation Homework day

Sep 24 Lesson: Parameterizations

Reading: Section 17.1

Homework 5:
Section 17.1: 2, 4, 10, 16, 22, 26, 28, 50, 53, 54
Due on: Mon, 29 Sep

Sep 25 Lab 4: Dick and Jane have fun with Parameterizations

Sep 26 Lesson: Motion, Velocity, and Acceleration

Reading: Section 17.2

Sep 29 Lesson: Partial Derivatives

Due Today: Homework 5

Reading: Sections 14.1, 14.2

Homework 6:
Section 17.2: 1, 6, 10, 13, 15, 24
Section 14.1: 3, 6, 7, 13, 15
Section 14.2: 2, 5, 8, 16, 22, 37, 44

Due on: Fri, 3 Oct

Sep 30 Recitation Homework day

Oct 1 Lesson: Local Linearity

Reading: Section 14.3

Homework 7:
Section 14.3: 2, 5, 6, 9, 14, 18 - 21
Due on: Mon, 13 Oct

Handouts: Partial Derivatives
Local Linearity

Oct 2 Lab 5: The Gradient and Directional Derivatives

Reading: Section 14.4

Oct 3 Lesson: Gradients and Directional Derivatives

Due Today: Homework 6

Reading: Sections 14.3 and 14.5

Homework 8:
Section 14.4: 3, 7, 15, 17, 23, 27, 32, 49 - 51, 55, 67
Due on: Wed, 15 Oct

Handouts: Gradient

Oct 6 Fall Break

Campus Closed

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 13 Lesson: Directional Derivatives and the Gradient

Due Today: Homework 7

Reading: Section 14.5

Homework 9:
Section 14.5: 1, 4, 7, 12, 15, 17, 24, 29
Due on: Thurs, 16 Oct

Oct 14 Recitation Homework day

Oct 15 Lesson: Multivariable Chain Rule

Due Today: Homework 8

Reading: Section 14.6

Handout: Chain Rule Worksheet

Check Out: Worksheet Solutions

Homework 10:
Section 14.6: 2, 5, 8, 14, 17, 18
Due on: Mon, 20 Oct

Oct 16 No Lab! Enjoy!

Due Today: Homework 9

Oct 17 Lesson: Multivariable Chain Rule and the Total Differential

Reading: Sections 14.3, 14.6

Handout: Physical Chemistry Worksheet

Oct 20 Lesson: Second Order Partial Derivatives

Due Today: Homework 10

Reading: Section 14.7

Homework 11:
Section 14.7: 1, 5, 19 - 27, 33, 35
Due on: Fri, 24 Oct

Oct 21 Recitation Homework Day

Oct 22 Lesson: Review

Oct 23 Exam 2:

Covering: Chapters 13.3, 13.4, 14.1 - 14.7, 17.1, 17.2

Oct 24 Lesson: Local and Global Optimization

Due Today: Homework 11

Reading: Sections 15.1, 15.2

Oct 27 Lesson: Unconstrained Optimization

Reading: Hessians Handout

Handout: Optimization Worksheet

Homework 12:
Section 15.1: 1, 2, 5, 14, 15, 24
Due on: Wed, 29 Oct

Oct 28 Recitation Homework and Worksheet Day

Oct 29 Lesson: The Hessian and Unconstrained Optimization

Due Today: Homework 12

Oct 30 Lab 6: Optimization

Homework 13:
Section 15.2: 11, 13, 18, 19, 20
Due on: Wed, 5 Nov

Oct 31 Lesson: Constrained Optimization

Reading: Section 15.3

Handout: Constrained Optimization Worksheet
Mathematica Solutions Notebook

Homework 14:
Section 15.3: 3, 5, 8, 12, 21, 28
Due on: Thurs, 6 Nov
solutions

Nov 3 Lesson: Multivariable Integration

Reading: Section 16.1

Homework 15:
Section 16.1: 1, 4, 6, 11
Due on: Fri, 7 Nov
solutions

Nov 4 Recitation Homework Day

Nov 5 Lesson: Iterated Integrals

Due Today: Homework 13

Reading: Section 16.2

Handout: Iterated Integrals Worksheet
Solutions

More Practice: Iterated Integrals 2 Worksheet

Nov 6 Lab 7: Double Integrals

Due Today: Homework 14

Nov 7 Lesson: Triple Integrals

Due Today: Homework 15

Reading: Section 16.3

Homework 16:
Section 16.2: 1, 5-7, 11, 13, 26, 33, 34
Due on: Wed, 12 Nov
solutions

Nov 10 Lesson: Polar and Cylindrical Coordinates

Reading: Sections 16.4, 16.5

Handout: Polar and Cylindrical Worksheet

Nov 11 Recitation Homework Day

Suggested Problems:
Section 16.4: 1-4, 7, 10, 15, 16, 19, 21, 26
Section 16.5: 1, 5-7, 16, 20, 33

Not Due
solutions

Nov 12 Lesson: More Triple Integrals

Due Today: Homework 16

Reading: Section 16.3

Nov 13 Lab 8: Masses, Moments, and Centroids, Oh My!

Nov 14 Lesson: Spherical Coordinates

Reading: Section 16.5

Suggested Problems:
Section 16.3: 1, 14, 15, 37, 39, 41
Section 16.5: 3, 8, 9, 22a, 29, 30, 42

Not Due
solutions

Handout: Spherical Worksheet

Nov 17 Lesson: Integration Integration...

Reading: Sections 16.1 - 16.5

Nov 18 Exam 3

Covering: Chapters 15.1 - 15.3 and 16.1 - 16.5

Sample Test
Note: This exam only covered integration!

Nov 19 Lesson: Vector Fields

Reading: Sections 17.3, 17.4

Homework 17:
Section 17.3: 1, 11 - 13, 16, 18, 19, 22
Due on: Fri, 21 Nov

Handout: Vector Fields Worksheet
Flows in Vector Fields Worksheet

Nov 20 Lab 9: Vector Fields and Flows

Reading: Section 17.4

Nov 21 Lesson: Line Integrals

Due Today: Homework 17

Reading: Section 18.1

Handout: Line Integrals Worksheet

Nov 24 Lesson: Computing Line Integrals

Reading: Section 18.2

Homework 18:
Section 18.1: 1 - 4, 12, 13, 20
Section 18.2: 1 - 3, 11, 13, 16
Section 18.3: 1, 3, 4, 7 - 10, 15, 17, 21, 22, 26

Due on: Wed, 3 Dec

Nov 25 Recitation Homework Day

Nov 26 Thanksgiving Break

No Class

Nov 27 Thanksgiving

No Class

Nov 28 Thanksgiving Break

No Class

Dec 1 Lesson: Path Independent Fields

Reading: Section 18.3

Handouts: Gradient Fields Worksheet

Dec 2 Recitation Homework Day

Dec 3 Kyrgyz President Visit

No Class

Due Today: Homework 18

Dec 4 Lesson: Green's Theorem

Reading: Section 18.4

Handouts: Green's Theorem Worksheet

Dec 5 Lesson: Line Integral Wrap Up

Reading: Chapter 18

Dec 8 Lesson: Flux Integrals

Reading: Section 19.1

Handouts: Flux Integral Worksheet

Dec 9 Recitation

 

Dec 10 Lesson: Flux, Divergence, and Curl

Reading: Sections 19.2, 20.1 - 20.3

Handouts: Flux, Divergence, and Curl Worksheet

Dec 11 Lesson: Divergence and Curl

Dec 12 Lesson: Review

FINAL EXAM PERIOD: Wednesday Dec 17
1:00 - 2:45


mark parker
Last modified: 1 December 2003