Math 21 Homework and Reading Assignments Fall, 2003 For a copy of the syllabus, go to: http://www.emba.uvm.edu/~wilson/21syl.pdf For the up-to-date schedule of all of the help sessions, go to: http://www.emba.uvm.edu/math/classes/help-sessions.html NOTE: ON MWF THE CLASS MEETS IN 002 KALKIN, NOT IN 254 VOTEY. NOTE: I WILL BE AWAY 9/9-9/12. A SUBSTITUTE TEACHER WILL TAKE OVER THE CLASS FOR THOSE DAYS. #1 (assigned 9/3). READ 1.1-1.8 by 9/8. On Thursday, 9/4, we will begin Lab #1. This lab will be due in my email inbox at 12:01 PM on Tuesday, 9/16. #2 (assigned 9/5). 1.1: 9-12 (try to avoid using a calculator). 1.2: 13-16 (try to avoid using a calculator). 1.4: 5-10, 13-20, 31-34, 39-44, 78. The first quiz will be given on Monday, 9/22. Topics and format to be announced during the week of 9/15; but you should expect 4-5 questions about pretty basic stuff. NOTE THE DUE DATE FOR LAB #2 HAS BEEN CHANGED FROM 9/23 TO 9/30. I will go over homework and assign new problems on 9/17. The date of the first quiz has been changed to Wednesday, 9/24. On Thursday, 9/18, we will go into the lab and begin Lab #2. We will go into the lab again on Thursday, 9/25, to continue Lab #2. The lab will be due at 12:01 PM on Tuesday, 9/30. #3 (assigned 9/17). READ 2.1-2.3, 2.5, 2.6 by 9/22. 1.5: 15-22. 1.6: 1-4, 17, 18, 35-37. 1.8: 13-18 (no need to graph), 31a, 37 (refer to 36). I will go over these on Monday, 9/22. Quiz #1 on 9/24 will cover 1.1, 1.2, 1.4-1.6, 1.8: constructing functions from verbal descriptions; equations of lines; families of functions; parametric equations. You won't have to do any graphs, but you WILL NEED a calculator. The quiz will have 4-5 questions and last about 25 minutes. #4 (assigned 9/22). READ 3.1-3.3 by 9/29. 2.2: 9-24, 29, 30, 39, 40. 2.3: 11-16, 19-24, 31-34. 2.5: 15-20, 23-25, 42-44. I will do homework and quiz solutions and assign new homework on Monday, 9/29. The next quiz will be on Wednesday, October 8. Topics and format to be announced next week. #5 (assigned 9/29). READ 3.4-3.7 by 10/6. 2.6: 17-26. 3.1: 11-14, 19. 3.2: 4-20. I will go over homework (and assign new problems) on 10/6. The quiz on 10/8 will cover 2.1-2.3, 2.5, 2.6: limits and continuity. Expect 4-5 questions like the homework problems. The quiz will last about 25 minutes. Calculators are okay. #6 (assigned 10/6). READ 3.8, 4.1, 4.2 by 10/13. 3.3: 1-20, 25-28 (just find f'). 3.4: 1-16, 19-24, 31-33. 3.5: 1, 2, 7-16, 27-32, 35, 36 (just find the indicated derivatives). We will go into the lab on Thursday, 10/9, to begin Lab #5. You don't download this lab. I'll be giving you a printed handout on Wednesday or Thursday. You will turn in a printed version of this lab. Your printout will be due in class on Wednesday, 10/15. The midterm will take place on Monday, October 20. (Note: the last day to withdraw is Friday, October 31.) I will be away on 10/23 and 10/24. A substitute teacher will take over the class on those days. #7 (assigned 10/15). 3.3: 45-50 (exercises on higher derivatives). The midterm on 10/20 will cover 2.1-2.3, 2.5, 2.6, 3.1-3.4: limits; continuity; derivatives (of polynomials and rational functions; of trigonometric functions; higher derivatives). Expect 10 questions. The test will last the whole period. You won't need a calculator, but you may use one if you wish. Note one small change: the midterm will NOT have a question on equations of tangent lines. It will just cover derivatives, limits, and continuity. #8 (assigned 10/16). 3.5: 62, 67-72. 3.6: 11-16, 21-24, 27-31. 3.7: 1-4, 12-18, 20, 21, 25-27, 30-32. 3.8: 19-28, 37-40, 45-47, 51-56. #9 (assigned 10/29). READ 4.3-4.5, 5.1, 5.2 by 11/5. 4.1: 5, 7, 8, 13-20, 35. 4.2: 9-36, 48. The last two quizzes will be on November 14 and December 1. The final exam will take place in 002 Kalkin on Monday, December 15, beginning at 8 AM. I will go over homework and assign new problems on Wednesday, November 5. #10 (assigned 11/5). READ 5.3-5.6 by 11/12. 4.3: 1-30, 35-47. 4.4: 1, 2, 7, 8, 12, 13, 23-30, 37, 39. 4.5: 1-13, 39. The quiz on 11/14 will cover 3.5-3.8, 4.1: chain rule, implicit differentiation, related rates (expect a word problem!), linear approximations, finding inverse functions. It will have about 5 questions and last about 25 minutes. BRING A CALCULATOR! I will assign new homework and do solutions on Wednesday, November 12. #11 (assigned 11/12). READ 5.7, 5.8, 6.1, 6.2 by 11/19. 5.1: 3-6, 11-18. 5.2: 7-10, 21-36, 53. 5.4: 25, 27, 31, 32 (see #30). New homework on 11/19. We will begin a Newton's Method lab on 11/20. We will not be doing Lab #10. I will instead give you a printed handout. You will turn your lab in by email. It will be due 12:01 PM, Tuesday, December 2. #12 (assigned 11/19). READ 6.3-6.6 by 12/1. 5.5: 4-11, 17-21, 26-31. 5.6: 2, 5-8, 10, 14, 18, 19, 40, 41, 59. 6.2: 7-28, 33, 34, 41, 42. The Newton's Method lab handout is available at: http://www.emba.uvm.edu/~wilson/newton.pdf The quiz on 12/1 will cover 4.2-4.5, 5.1, 5.2: logarithmic and exponential functions (mostly involving derivatives); logarithmic differentiation; derivatives of inverse trigonometric functions; l'hopital's rule; finding and characterizing critical numbers (as maxima, minima, or neither); finding inflection points; finding intervals where functions are increasing/decreasing, or concave up/down. It will have about 5 questions and last about 30 minutes. You shouldn't need a calculator but you're welcome to use one. Notes on Newton's Method lab: 1. In doing the Newton's Method lab, do not use Mathematica's FindRoot function. For one thing, I have asked you to include your list of successive approximations. FindRoot just spits out an answer. But, more important, in a few years, Mathematica will become obsol---excuse me, get upgraded, and the FindRoot function may no longer exist. (The basic form of Newton's Method hasn't changed in 300 years; FindRoot is the property of Wolfram Research. Which one is more likely to still be around in 2020?) Newton's Method is easy to use on other systems---you can even do it using a handheld calculator---BUT YOU HAVE TO KNOW HOW THE METHOD WORKS. Problems done with FindRoot will receive ZERO CREDIT. 2. For problem #2, you should have no problem finding the roots that are near zero. However, there is another root, at approximately x = -67. (I missed this one when making up the lab.) You might try to find that one too (for extra credit). No one will be marked off for missing it, or for giving a plot that only shows the two roots near 0. I will be doing homework and assigning new problems on 12/3. #13 (assigned 12/3). READ 6.7-6.9 by 12/10. 6.3: 4-30, 32-34, 45-48, 55. 6.5: 17-22. 6.6: 9-23, 25. 6.8: 33-52, 59-62. #14 (assigned 12/10). The final exam will take place Monday, December 15, beginning at 8 AM, in 002 Kalkin. It will last 3 hours, but you probably won't need that long. It will cover 3.7, 3.8, 4.1-4.5, 5.1, 5.2, 5.5, 5.6, 6.1-6.3, 6.6, 6.8: related rates (expect a word problem); linear approximations; derivatives of logarithmic, exponential, and inverse trigonometric functions; l'hopital's rule; finding critical numbers and characterizing them as maxima, minima, or neither; finding inflection points; finding intervals on which a function is increasing/decreasing or concave up/down; maximizing/minimizing functions (expect a word problem or two); antiderivatives and integrals. BRING A CALCULATOR!! The exam will have around 15 questions, but some questions might have more than one part.