Instructor:  Robert Hanson

Office:  LCB 305

email:  bobby@math.utah.edu (this is the best way to contact me)

Office Phone: 801.585.1648

HW #1 (Due May 24, 2005)
1.1: 7, 12, 16, 27, 28, 29, 31, 32, 35, 36, 37, 38, 41, 42. (30 min.)
1.2: 5, 8, 10, 14, 17, 21, 24, 30, 37, 43. (40 min.)
1.3: (Trace out some of 1--10 with your finger) 15, 16, 17, 18, 21, 26 (consider using Maple), 29. (30 min.)
1.4: 3, 17, 19, 27, 30, 31, 34, 36, 48, 52, 61, 68 OR 69. (1 hour)
Create a dictionary for Chapter 1, organized by section. Include definitions and important theorems.
HW 1 Solutions (.pdf).

HW #2 (Due June 1, 2005)
1.5: 9, 15, 27, 29, 31, 32, 33, 39.
1.6: 7, 24, 34, 37, 46, 47, 55, 56, 66, 67, 71, 72.
2.1: 1, 3, 13, 15, 16, 30, 35 (Try all three modes of reasoning), 39.
Continue your dictionary, adding sections 2.1, and 2.2.
HW 2 Solutions (.pdf).

HW #3 (Due June 7, 2005)
2.2: 3, 6, 9, 17, 21, 23, 29.
2.3: 2, (look at 4), 6, 24, 26, 30.
Read Sections 2.4, 2.5, and 2.6.
3.1: 5, 11, 14, 17, 19, 25, 27, 28, 29, 31, 37, 40.
Note that I added Section 3.1, and deleted the numerical problems from 2.4, 2.5, and 2.6. These are essentially what we are doing with the Maple project.
Continue your dictionary.
HW 3 Solutions (.pdf).
My solution (via Maple) to problem 2.3.30.

HW #4 (Due June 21, 2005)
3.2: 11, 12, 15, 23, 25, 27, 28, 29, 30, 31.
3.3: 9, 10, 15, 24, 27, 40, 43, 46.
3.4: 3, 10, 12, 15, 18, 24, 25, 26, 29 (Use 27).
3.5: 1, 5, 7, 9, 33, 39, 43, 45, 52, 60.
HW 4 Solutions (.pdf).

HW #5 (Due June 30, 2005)
3.6: 2, 21, 22, 24.
(Extra Credit) 3.7: 1, 2, 3, 7, 23, 24.
3.8: 1, 2, 3, 13, 15, 16, 18.
4.1: 1, 4, 9, 10, 11, 12 (for problems 11, 12, use graph paper and draw the direction field by hand, then check using Maple), 17, 21, 23, 24, 29, 30 OR 31.
HW 5 Solutions (.pdf).

HW #6 (Due July 12, 2005)
4.2: 2, 7, 10, 18, 26, 29, 47.
5.1: 1, 4, 8, 9, 11, 17, 22, 27, 31, 36, 41.
5.2: 2, 8, 15, 20, 25.
5.3: 2, 8, 12, 16, 17

HW #7 (Due July 19, 2005)
5.4: 4, 9, 17, 24, 33.
5.5: 2, 6, 14, 22, 25, 28, 31, 33, 35, 36 (for 35 and 36, you don't need to use Theorem 3 explicitly since each has only one eigenvalue; see the discussion preceeding the theorem, or your notes from class).
6.1: 3, 5, 9, 11, 13, 15, 17, 23, 24, 26, 28.

HW #8 (Due July 27, 2005)
6.2: 1, 2, 3, 4, 7, 9, Do any THREE from {19-28}, 29, 32, 33, 34.
6.3: 1, 3, 11, 12, 13, Do the Application on page 406 (Your Own Wildlife Conservation Preserve).
(Extra Credit) 6.4: 1, 2, 5, 9, 10, 11.
7.1: 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 16, 17, 19, 20, 23, 24, 25, 26, 30, 32, 33, 35, 37, 38, ONE of {39-42}.

HW #9 (Due August 3, 2005) This assignment is worth DOUBLE points. Note, however, that your final exam is still worth more. Set a balance of priorities.
7.2: 1, 4, 7, 8, 11, 17, 19, 21, 25, 33, 35.
7.3: 1, 3, 5, 6, 12, 15, 27, 31.
7.4: 1, 2, 3, 4, 6, 7, 9, 11, 15, 19, 22, 23, 29, 35, 38.
7.6: 1, 2, 9, 11, 14, 15.

When you do your Maple projects, please include the project questions written out before your solution. You can use Cut-and-Paste, and it makes it so much easier for me to grade. Thank you.

1st Order ODEs and Slope Fields
First Maple Project (.mws) Download this and open it in Maple. It should look something like this: First Maple Project (.html) (Due Thursday, May 26)
Here is my solution to the First Maple Project: HTML Maple

Euler's Method and Runge-Kutta
Second Maple Project (.mws) Download this and open it in Maple. It should look something like this: Second Maple Project (.html) (Due Thursday, June 9)

Forced Oscillations and Resonance
Third Maple Project (.mws) Download this and open it in Maple. It should look something like this: Third Maple Project (.html) (Due Thursday, June 23)

Phase Portaits and Stability
Fourth Maple Project (.mws) Download this and open it in Maple. It should look something like this: Fourth Maple Project (.html) (Due Thursday, July 21)

Laplace Transforms and Fourier Series
Fifth Maple Project (.mws) Download this and open it in Maple. It should look something like this: Fifth Maple Project (.html) (Due Tuesday, August 2) Skip the material regarding Fourier Series.

Chaos in Dynamical Systems
If you are interested in Chaos in Dynamical Systems, read section 6.5 in the text, and try this Maple Lab:
Sixth Maple Project (.mws) Download this and open it in Maple. It should look something like this: Sixth Maple Project (.html) (Just for Fun, lots of pretty pictures.)

Tutorial.mws; tutorial for Math Lab and Maple. This is the Maple Worksheet version; save it with your browser and then open it from Maple.
Tutorial.html; online version to view from your browser; cannot be opened from Maple.

MapleExamples.mws A list of Maple commands illustrating a tiny bit of what Maple can do.

The University maintains a great page with links to downloadable software, including Adobe Acrobat Reader (to read .pdf files), and free secure telnet and ftp software so you can access Math and University servers from home. Have a look at this page, you might find something you need.
www.utah.edu/uwebresources/software/index.html.

There are some useful downloads at the Math Department's Maple Page.