Math 131

Math 131 Sections 1 and 5--Fall 2008

Weekly schedule, homework

• The homework will be posted a week or more in advance. The homework for Week 1 is due on the Friday of Week 2 in class etc. You are encouraged to work in groups on the homework, but the final write-up should be your own. The problems in purple do not have to be turned in for a grade, but you are responsible for doing and understanding all the problems. NO late assignments will be accepted without a serious documented reason. Should this happen, you need to contact me before the homework is due. Please follow these guidelines when writing up your homework papers:

On the first page write your name, the assignment details, and your section number.
Write neatly. It is your responsibility to make sure the grader can read your work.
Remove any frayed edges and staple or clip multi-page assignments together.
Show your work. Correct answers without any explanation will not receive full credit.

• Occasionally the homework will contain extra-credit problems. They will be more challenging (and more fun!), and your grade on these problems will not be taken into consideration when determining the final grade. It may however be taken into consideration in the rare eventuality that you are close to the borderline between two grades, when it may improve your grade.

• Another resource that you are encouraged to use is the CD that you can find at the back of your textbook, entitled Tools for enriching calculus. It contains hints to the exercises marked in red in the textbook, so if you get stuck on one of those you can use the CD to help you get started.

Week 1 (9/3, 9/5): Course introduction, getting familiar with elementary functions and their properties: • Sec. 1.1: 2, 5-8, 20, 24, 28, 37, 42, 52, 64, 66, 70; • Sec. 1.2: 3, 4, 5, 6, 8, 12, 17, 18; • Sec. 1.3: 2, 3, 4, 6, 10, 16, 36, 40, 41, 44, 50, 54 (for #54, you can find the formula for the volume of a sphere in the reference pages at the beginning of the book)
Week 2 (9/8-9/10, 9/12): The exponential function and the logarithm, inverse functions, trig functions and their inverses: • First computer lab: On Wednesday, September 10, we meet in Haberlin 408 during the regular class time. Please give a look to this introduction to Maple before the lab to get a first exposure to the way Maple operates. The answers to the lab worksheet are due on Tuesday, September 16, in class. The computer lab is open late, 7 days a week. To help you remember the syntax of the commands we learned, here is a MAPLE worksheet containing the examples we did in class. You can open it using MAPLE in the computer lab.; • For those of you who need it, the textbook publisher offers a very useful algebra review. Choose algebra review from the menu on the left. Also, to refresh your algebra do as many practice exercises from Appendix A as you can over the course of the next few weeks.; • Sec. 1.5: 9, 10, 13, 14, 17, 18, 20, 26; • Sec. 1.6: 4, 6, 10, 12, 15, 16 b), 18, 21, 24, 30, 34 , 36 (no calculators allowed for 34 and 36), 38, 48, 50 a); • Appendix C: 33, 34, 39, 41-43 (in appendix C, read only the part about the inverse trig functions at the end)
Week 3 (9/15-9/17, 9/19) Inverse functions, trig functions and inverses, Parametric equations, tangent and velocity: • There is no written homework due Friday, Sep. 26, due to the midterm that day. You should read however Sec. 1.7 and 2.1, which we start beginning on 9/19.
Week 4 (9/22-9/24, 9/26) Limits, Midterm week: Before the midterm, make sure to work out the practice problems on the Exams page.; (homework due on Friday 10/3); • Sec. 1.7: 2, 4, 6, 10, 11, 16, 20, 29, 34; • Sec. 2.1: 2, 3, 6; • Sec. 2.2: 2, 4, 5, 6, 10, 16, 22
Week 5 (9/29-10/1, 10/3) Limits: • Due Friday, 10/10. For problems requiring graphing, you can also use this online graphing calculator (click on GCalc 2 to start it).; • Sec. 2.3: 2, 4, 20, 22, 24, 25, 31, 32; • Sec. 2.4: 4, 6, 20, 22, 32, 38, 40; • Sec. 2.5: 4, 6, 16, 20, 22, 24, 25, 27
Week 6+7 (10/6-10/8, 10/10, 10/15, 10/17) Tangents, derivatives: • Due Wednesday, 10/22 (note the change in due date). For problems in Chapter 2, use the limit definition to find the slope of tangent lines to graphs (do not use derivative rules!).; • Sec. 2.6: 2, 9, 20; • Sec. 2.7: 1, 2, 4, 6, 17, 19, 20, 31; • Sec. 2.8: 4, 8, 12, 22, 32, 34; • Sec. 2.9: 2, 4, 12, 18
Week 8 (10/20-10/22, 10/24) Differentiation rules: • Because of the midterm on October 29, there is no homework due the week of the exam. Check the Exams page for practice problems for the midterm.
Week 9+10 (10/27-10/29, 10/31) More derivative rules: • Due Friday, November 7; • Sec. 3.1: 4, 16, 25, 53, 65 (Hint: think of the limit as the derivative of a function at a point); • Sec. 3.2: 4, 6, 22, 39; • Sec. 3.3: 4, 28; • Sec. 3.4: 14, 18, 20, 31; • Sec. 3.5: 2, 4, 9, 16, 19, 28, 36, 54; • Sec. 3.6: 4, 18, 20, 22 (a) and (b), 30; • Sec. 3.7: 4, 6, 21, 32, 36
Week 11 (11/3-11/5, 11/7) Linear approximation, related rates, minimum and maximum values, derivatives and shape of curves: • Sec. 3.8: 10, 15, 18; • Sec. 4.1: 14, 16, 17, 18; • Sec. 4.2: 5, 30, 38, 55; • Sec. 4.3: 5, 6, 7, 18, 24, 29
Week 12 (11/10-11/12, 11/14) L'Hospital's rule, Optimization problems: • Because of the midterm on November 21, this week's short homework is due onTuesday, November 25.; • Sec. 4.5: 2, 8, 10, 17, 25, 30 (see example 6), 33 (take x as a common factor); • Sec. 4.6: 10, 16 (draw a picture of how the rectangle would look like, and label its sides); • Due Tuesday, December 9.; • Newton's method handout: how to apply Newton's method using MAPLE.; • Sec. 4.6: 12, 13 (see Example 3), 24 (Hint for #24); • Sec. 4.8: 4, 10 (see Example 2), 12; • Sec. 5.1: 4, 12, 16; • Sec. 5.2: 2, 9, 18, 28