Announcements:

Final exam review.

Demonstrations:

You can read the demos, but not do computations, with the free Mathematica reader. Mathematica is available in the MathLab and in university instructional computing centers. A student version can be purchased at discount.

Jan26 -- Section 7.3 examples in Mathematica

Jan30--Section 7.4, example of partital fractions expansion

Feb 8--Section 7.7, numerical integration, estimates

Feb 10--Section 7.7, more numerical integration, estimates

Java applet for demonstrating direction fields and solution curves for differential equations.

Demo of contour plot (plotting implicitly defined curves).

Maple can do step-by-step integration. Check out this Maple 10 worksheet.

Contact Information:

Lectures (section AAA)

1:30P - 2:20P MWF, 217 MLH

Discussions:

TA: Colin B McKinney

A01: 1:30P - 2:20P TTh, 116 MH

A02: 2:30P - 3:20P TTh 150 SH

Office:

325G Maclean Hall

319-335-0791

Email:

goodman at math dot uiowa dot edu

please put 22m26 in subject line

T, TH 12--1 pm

Paper Mail:

Math dept maiboxes: 14 MLH

Colins's web page: www.math.uiowa.edu/~cbmckinn/

Math Lab Hours:

Sunday: 6 - 9 pm

Monday-Thursday: 9:30 am -- 4:30 pm and 6 -- 9 pm

Friday: 9:30 am -- 12:30 pm

Assignment lists:

Assignment lists, or links to assignment lists will appear here. * after the exercise number indicates presentation problem. See the syllabus for explanation of what is expected.

Assignment 1, due Thursday Jan 26:

Section 7.1: 2, 3, 9, 12, 18, 19, 21, 29, 38, 41, 51, 52*, 57, 59
Section 7.2: 2, 9, 14, 19, 26, 49, 53, 54*, 61

Assignment 2, due Thursday Feb 2:

Section 7.3: 2, 4, 9, 24, 31,32*, 35*, 34, 39, 40

Section 7.4: 9, 16, 17, 39

Assignment 3, due Friday February 10:

Section 7.4: 21*, 24, 49, 55, 64

Section 7.5: 1, 6, 9, 10, 14*, 21, 29, 32, 38, 43, 48, 53, 56, 66, 69

Assignment 4, due Friday February 17:

Section 7.7:

Consider exercises 14* and 16 in the text. In exercise 14, use the interval of integration from 1 to 4, instead of 0 to 4.

Ignore the textbook instructions. Instead, for each, use both the trapezoid rule and Simpson's rule to approximate the integral with an error less than 1/10^5. You may wish to use and adapt the Mathematica demos that were used in class for simiilar problems.

Exercise 39, use Simpson's rule, but again find the number of intervals needed to approximate the result with error less than 1/10^5.

Section 7.8: 8, 14, 19, 23, 27, 33, 47, 51, 52, 55, 68, 69, 70*.

Assignment 5, due Friday February 24:

Section 8.1: 2, 9*, 12, 22, 28, 36*, 37.

Assignment 6, due Friday March 3:

Section 8.2: 4, 6, 9, 18*, 22, 30, 33

Section 8.3: 1, 4, 12, 15 d, 23, 26, 32*

Assignment 7, due Friday March 10:

Section 8.5: 1, 5, 6, 9*, 10, 12.

Section 9.1: 2, 3, 7, 9

Section 9.2: 1, 2, 15, 17 , 18*

Assignment 8, due Friday March 24:

Section 9.3: 3, 9, 13, 21*, 26, 37.

Assignment 9, due Friday March 31:

Section 9.4: 1, 4, 7, 8, 11, 13, 17, 20, 21*
Section 9.5: 1, 3, 5, 7, 11, 13* (Use computer to draw direction field + solutions).
Section 9.6: 5, 9, 15 19, 23, 25.

Assignment 10, due Friday April 7:

Section 10.1: (When you are asked to sketch a parametric curve, you can get a computer to do the sketch.) 1, 3, 9 , 12, 21, 23, 25, 31,33
Section 10.2: 3, 6, 7, 10, 13*, 19, 23, 31*, 33, 36, 38
Section 10.3: (When you are asked to sketch a polar curve, you can get a computer to do the sketch.) 3, 8, 10, 13, 16, 17, 29, 72

Assignment 11, due Friday April 21:

Section 10.4: 1, 5, 8, 15* (The figure has big petals and small petals; find the area of one big petal, and the area of one small petal.), 50 (Find the length of the curve from theta = 0 to theta = 2 pi.)

Section 11.1: 15, 26, 27, 28, 35, 36, 50, 52

Assignment 12, due Friday April 28:

Section 11.2: 7, 9, 11, 14, 37, 49*, 53.

Section 11.3: 2*, 3, 7, 10, 12, 19, 23, 24, 25, 38.

Added, Monday 29 April: Section 11.3, Exercises 32-34.

Suggested exercises on series (not to be handed in):

Section 11.4: 1-25 odd

Section 11.5: 1-11 odd

Section 11.6: 1-25 odd

Section 11.7: Do enough to be confident!

Exams:

There will be two midterm exams and a comprehensive final exam. Dates and times to be determined.

Mathematica Tutorials:

Mathematica Lesson 2: Mathematica as a scientific calculator.

Mathematica Lesson 3: Mathematica as a symbolic calculator.

Mathematica Lesson 4: Mathematica for calculus and graphing.

Note: sometimes students report difficulty opening Mathematica files with in Windows on university computers. This is not the fault of these files but rather something to do with the way Mathematica and Windows are set up on some of the university computers. The following procedure will work:

1. Click on the www link to the file you want to use and, when the dialogue box pops up and asks what you want to do with the file, chose save to disk. Save it to some convenient location, like the desktop, or your own floppy drive.

2. Start the Mathematica program.

3. Open the desired file from within the Mathematica program; i.e. on the main Mathematica menu bar do File -> Open . A file browser will pop up, and you can choose your file.

Programs for drawing direction fields and solution curves.

DField2002

Java applet available online here. To start the program, open the link in your internet browser, wait briefly for the java applet to load, and click on the button for DFIELD2002.2.

Note: Menus for the applet will be located either in your browser's menu field, to the right of other usual items, or at the top of the direction field window. Printing is done from the applet's file menu, not the browser's file menu!

May not work on all web browsers. (Worked ok on Netscape (version 8) for Windows and Safari for Mac OS X. Did not work on Internet Explorer on classroom computers.)

Advantages: Works very well (when it works) and available on every computer with an internet connection.

Disadvantages: Can get "tied up" at "difficult" points on a solution curve.

Direction Field Applet

(adapted from JCM Project, Hobert and William Smith Collleges)

Advantages: Works very well and available on every computer with an internet connection.

Disadvantages: Very slow. To print, you will have to do some sort of screen capture.

Others

There are lots of programs out there. Search on google for "direction field applet".