*Assignments*

## Week 17

**Final exam on Friday, December 19**. The exam is from 8 to 10am and will take place in our regular classroom.- To prepare of the final exam, go over the summary, which contains links to the handwritten class notes and to the slides used in class. Make sure you understand the material and how the various topics are connected to one another.
- Review all homework assignments, quizzes, labs, and exams.
**Review problems**(on WebAssign)*Review for Final Exam - True/False questions*contains true/false questions on some of the material discussed this semester.*Review of Chapter 7*contains extra (not previously assigned) problems on Chapter 7 of the*Calculus*textbook.*Modeling*contains problems on modeling questions and can therefore be used as a review of solution methods for differential equations.

- Read Sections 11.1 through 11.7 of the
*Calculus*book. You should feel comfortable with all of this material. - Recall that the answers to odd-numbered problems are at the back of both textbooks. You can try to work out some of these problems if you need more practice on a given topic.
- As usual, do not hesitate to ask (by email or during office hours) if you have any question.

## Week 16

**Due Sunday, Decenber 7:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Sections 4.3 and 4.4 of the*Differential Equations*book. The questions are due at noon on Sunday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 9*.**Due Sunday, December 7:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Section 5.2 of the*Differential Equations*book. The questions are due at noon on Sunday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 10*.

## Week 15

**Due Friday, December 5:**Complete the WebAssign assignment called*Equations of the form**y*' =*g*(*x*,*y*). Note that this assignment will close on Sunday at midnight (in case you need more time to finish it).**Quiz**on Friday, November 5. One of the quiz questions will be on one of the problems numbered 76 through 100 on page 362 of the*Calculus*text book.

## Week 14

**Due Monday, December 1:**Complete the WebAssign assignment called*Numerical Approximations II*.**Quiz**on Monday, December 1. One of the quiz questions will be on one of the problems numbered 51 through 75 on pages 361-362 of the*Calculus*text book.**Due Monday, Decenber 1:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Section 4.1 (pages 119-128 only) and Section 4.2 of the*Differential Equations*book. The questions are due at midnight on Monday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 7*.**Due Monday, December 1:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Sections 5.1 and 5.3 of the*Differential Equations*book. The questions are due at midnight on Monday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 8*.

## Week 13

**Test on Wednesday, November 19.**This test will cover equations of the form*y*' =*g*(*y*), phase lines, bifurcation diagrams, methods of integration (partial fractions, substitutions, including half-angle formulas), existence and uniqueness of solutions, hyperbolic functions, and Euler's method.**Due Monday, November 24:**Complete the WebAssign assignment called*Numerical Approximations I*.**Quiz**on Monday, November 24. One of the quiz questions will be on one of the problems numbered 26 through 50 on page 361 of the*Calculus*text book.

## Week 12

**Due Friday, November 14:**Complete the WebAssign assignment called*Methods of Integration III*.**Quiz**on Friday, November 14. One of the quiz questions will be on one of the problems numbered 1 through 25 on page 361 of the*Calculus*text book.

## Week 11

**Due Sunday, November 2:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Section 7.5 of the*Calculus*book and Section 3.3 (pages 97-106 only) of the*Differential Equations*book. The questions are due at noon on Sunday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 6*.**Due Sunday, November 2:**Read the Euler Lab assignment in preparation for Monday's class. In particular, go through Sections 1-3, make sure you understand the material, write down any questions that you may have, and start thinking about how you will code up the Euler method in MATLAB.

In 2007, the scientific community celebrated the tercentenary of Euler's birth. If you would like to know more about Leonhard Euler's life, you may want to read the article by W. Gautschi, entitled*Leonhard Euler: His Life, the Man, and his Works*, that appeared in SIAM Review in March 2008.**Due Friday, November 7:**Euler Lab. You may turn in your work on paper or upload a*single*PDF document containing all your work in the D2L drop box called*Euler Lab*. The drop box will close at midnight on November 7. There will be no quiz on Friday 11/7.

Lab solutions

## Week 10

**Due Friday, October 31:**Complete the WebAssign assignment called*Methods of Integration II*.**Quiz**on Friday, October 31.

## Week 9

**Due Sunday, October 19:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Sections 2.5 and 2.6 of the*Differential Equations*book. The questions are due at noon on Sunday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 5*.**Due Friday, October 24:**Complete the WebAssign assignment called*Partial fractions*. (Assignment currently extended to Sunday evening).**Quiz**on Friday, October 24.

## Week 8

**Test on Monday, October 13.**This test will cover equations of the form*y*' =*g*(*x*), methods of integration (substitution, parts and table of integrals), as well as equations of the form*y*' =*g*(*y*) (material covered in the homework done before the test).**Due Friday, October 17:**Complete the WebAssign assignment called*Equations of the form y' = g(y) - Part II*(which will be made available after the test).**Quiz**on Friday, October 17.

## Week 7

**Due Sunday, October 5:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Sections 2.2 and 2.3 of the*Differential Equations*book, and in Section 7.4 of the*Calculus*book. The questions are due at noon on Sunday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 4*.**Due Friday, October 10:**Complete the WebAssign assignment called*Equations of the form y' = g(y)*.**Quiz**on Friday, October 10.

## Week 6

**Due Sunday, September 28:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Sections 2.1 and 2.4 of the*Differential Equations*book. The questions are due at noon on Sunday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 3*.**Due Friday, October 3:**Slope Fields Lab. This will be started in class. Work out all of the problems in detail and type up your answers. You may do calculations by hand, scan (or photograph) them, and embed them into your paper. In order to complete this assignment, you will have to familiarize yourself with DFIELD and MATLAB. This will be the homework assignment for this week. There will be no quiz on Friday 10/3. Upload your papers in the D2L drop box called*Slope Fields Lab*. It will close at midnight on October 3rd.

Lab solutions

## Week 5

**Due Sunday, September 21:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Sections 7.1, 7.2, and 7.3 of the*Calculus*book. The questions are due at noon on Sunday. To submit your questions, go to D2L, log in, follow the link to this course, and select the quiz called*Reading Assignment 2*.**Due Friday, September 26:**Complete the WebAssign assignment called*Methods of integration I*.**Quiz**on Friday, September 26.

## Week 4

**Test on Monday, September 15.****Due Friday, September 19:**Complete the WebAssign assignment called*ODEs & slope fields*.**Quiz**on Friday, September 19.

## Week 3

**Due Sunday, September 7:**Submit two*conceptual*(clicker-type) questions related to the material discussed in Sections 1.1, 1.2, and 1.3 of the*Differential Equations*book. Example of good questions:- True/false: the derivative of an even function is always equal to zero at the origin.
- True/false: a differential equation of the form y' = g(x) is always linear, even if g(x) is a nonlinear function of x.

*Reading Assignment 1*.**Due Friday, September 12:**Complete the WebAssign assignment called*Review of integration & introduction to ODEs*.**Quiz**on Friday, September 12.

## Week 2

**Due Wednesday, September 3:**Complete the ALEKS assessment.**Due Friday, September 5:**Complete the WebAssign assignment called*Review of differentiation*.**Quiz**on Friday, September 5.

## Week 1

**Start working on the ALEKS assessment**. To register, go to http://www.aleks.com/sign_up and follow the instructions. The course code is**GT6DM-GTYXG**.

Complete the assessment before Wednesday, September 3.**It is worth 25 points**, i.e. one quarter of a test. Credit will be given based on how seriously and thoroughly you did the assessment.**Register onto WebAssign**. The class key is**arizona 0531 7479**.**Due Friday, August 29:**Complete the WebAssign assignment called*Intro to WebAssign 2006-7*. It is due at midnight on the 29th. Completion of this assignment is required, but no credit will be given.