*Note:*The notes are often incomplete, I haven't written up notes on all the topics, and the notes are often different from what I do in class. They're provided in case you find them useful.

These are handouts from class. Often they summarize material from the notes.

- Vectors and dot products (1-23-2018)
- Matrices and determinants (1-25-2018)
- Cross products (1-26-2018)
- Example: Computing the unit tangent, unit normal, and binormal [corrected version of class example] (2-22-2018)
- Directional derivatives (3-1-18)
- Spherical-cylindrical model (4-6-2018)
- Center of mass formulas(4-10-2018)
- Vector fields (4-12-18)
- Example: Surface integral [corrected version of example from the last day of class] (5-4-18)

You'll need some software to plot surfaces for a couple of the problem sets, and you may find it useful in checking your work. While there are many software packages you could use, I'll support two: *Mathematica* and *maxima*.

- Getting a
*Mathematica*license and installing the software - From MU Information Technology - The
*maxima*project page - Get information or download a version for your machine.

These tutorials give brief instructions and sample commands for doing the homework problems that require maxima or Mathematica.

- Mathematica tutorial - Use this if you're using
*Mathematica*for surface graphing - maxima tutorial - Use this if you're using
*maxima*for surface graphing - Vector fields - maxima and Mathematica commands for plotting 2-dimensional vector fields

*[Thursday, April 12]* The original version of the handout on plotting vector fields had a typo - the Mathematica command used the old version of the function. Newer versions of Mathematica use `VectorPlot`

rather than `VectorFieldPlot`

. The handout linked above has been corrected to reflect this.

Problem Sets are due by the end of class on the days listed below (and on the problem sheets. You don't need to print out the problem sheets (but you may if you wish); you can do the work on the problem sheets or on separate pieces of paper. (Staple everything together, please.) Be sure you've attempted at least the required number of problems to receive credit.

*[Wednesday, April 18]* There was an error in the problem statement for Problem 2 in Problem Set 40, and also in the corresponding example. As usual, you got credit for the problem if you attempted it. The y-coordinate of the curve was incorrect and and so was the work that followed; with the given y-coordinate, you get an antiderivative that probably can't be done. I've uploaded corrected versions even though that homework has already been turned in, to avoid confusion if you look at the solutions.

Solutions to the problem sets will be posted after the problem sets have been collected.

- Solutions to Problem Set 1

[PDF] - Solutions to Problem Set 2

[PDF] - Solutions to Problem Set 3

[PDF] - Solutions to Problem Set 4

[PDF] - Solutions to Problem Set 5

[PDF] - Solutions to Problem Set 6

[PDF] - Solutions to Problem Set 7

[PDF] - Solutions to Problem Set 8

[PDF] - Solutions to Problem Set 9

[PDF] - Solutions to Problem Set 10

[PDF] - Solutions to Problem Set 11

[PDF] - Solutions to Problem Set 12

[PDF] - Solutions to Problem Set 13

[PDF] - Solutions to Problem Set 14

[PDF] - Solutions to Problem Set 15

[PDF] - Solutions to Problem Set 16

[PDF] - Solutions to Problem Set 17

[PDF] - Solutions to Problem Set 18

[PDF] - Solutions to Problem Set 19

[PDF] - Solutions to Problem Set 20

[PDF] - Solutions to Problem Set 21

[PDF] - Solutions to Problem Set 22

[PDF] - Solutions to Problem Set 23

[PDF] - Solutions to Problem Set 24

[PDF] - Solutions to Problem Set 25

[PDF] - Solutions to Problem Set 26

[PDF] - Solutions to Problem Set 27

[PDF] - Solutions to Problem Set 28

[PDF] - Solutions to Problem Set 29

[PDF] - Solutions to Problem Set 30

[PDF] - Solutions to Problem Set 31

[PDF] - Solutions to Problem Set 32

[PDF] - Solutions to Problem Set 33

[PDF] - Solutions to Problem Set 34

[PDF] - Solutions to Problem Set 35

[PDF] - Solutions to Problem Set 36

[PDF] - Solutions to Problem Set 37

[PDF] - Solutions to Problem Set 38

[PDF] - Solutions to Problem Set 39

[PDF] - Solutions to Problem Set 40

[PDF] - Solutions to Problem Set 41

[PDF] - Solutions to Problem Set 42

[PDF] - Solutions to Problem Set 43

[PDF] - Solutions to Problem Set 44

[PDF] - Solutions to Problem Set 45

[PDF] - Solutions to Problem Set 46

[PDF] - Solutions to Problem Set 47

[PDF]

Review Sheets are to help you study. They are not sample tests. The presence of a problem on a review sheet does not mean there will be a problem like it on the test. And there may be test problems which are not like review sheet problems.

- Review Sheet for Test 1

[PDF] - Review Sheet for Test 2

[PDF] - Review Sheet for Test 3

[PDF] - Review Sheet for the Final - Part 1 (vectors, lines, planes, curves, surfaces, differential calculus of functions of several variables

[PDF] - Review Sheet for the Final - Part 2 (multiple integrals, vector integral calculus)

[PDF]

*If you're having personal problems:* Please consider seeing Counseling Services. They're on the 3^{rd} floor of Lyle Hall; they're free and confidential, and they've helped many of my students. It's natural to want to fix things yourself, but if your problems are causing you to miss class, to get behind in courses, or to get poor grades, it's best to get help.

Copyright 2018 by Bruce Ikenaga