Homework Hints (and other resources) Syllabus
Final Exam, Thursday, 12/11, 6:30-9:30 PM, Fowler 302: The exam will cover all HWs.
I will be available for questions Thursday 12/11 from about 5 pm, and Monday 12/8, 2:30 or later.. But I'll need you to contact me first for an appointment.
Lab, T 12/2: Use a spreadsheet to do problem 26 in Sec 4.6.
HW 32, due M 12/1: Do all these problems, but turn in only the ones in boldface: Chapter 4 Review True-False: 1-3, 5-16. Chapter 4 Exercises: 5-7, 8, 10, 14, 16, 35, 36, 38, 39, 47, 61.
HW 31, due M 11/24: Do all these problems, but turn in only the ones in boldface: Chapter 3 Review True-False: 3-14, 16. Chapter 3 Exercises: 1, 2, 4-12, 17, 18, 20-22, 25, 26, 28, 30, 34, 35 (use logarithmic differentiation), 43, 47, 49, 52, 55, 57, 62, 66, 67, 69. Sec 3.7: 39, 40, 42, 43, 44.
HW 30, due F 11/21: Do Chapter 2 Review Exercises (p.141): 15, 22, 25, 26, 28, 29, 47, 50, 51, 56, 63, 65abc, 68, 69. Don't use the quotient rule for 15 and 25. Problems 47 and 63 need not be turned in (but make sure you can do them).
HW 29, due W 11/19: Do Sec 1.6: 16, 17, 22-24, 26, 28, 31, 36, 40-43.
HW 28, due M 11/17: Read Sec 4.6. Do: 3, 4, 12, 23, 24, 27, 30.
HW 27, due F 11/14: Do Sec 4.5: 16, 36, 40, 48, 54, 58. Hint for 16 & 36: look at Example 3, especially the part that says "You should convince yourself that ...".
HW 26, due W 11/12: Read Sec 4.5 (may skip p.237, but Economics majors should read that page). Do: 1, 2, 5, 8, 9, 10, 28, 38.
HW 25, due F 11/7 M 11/10: Read Sec 4.4, especially Example 4 (and its last paragraph). Do: 33, 34, 40, 60.
Midterm 2, W 11/5: will cover HWs 12-24 and their corresponding sections. Start reviewing for the midterm at least one week in advance. A good way to review is to redo as many homework problems as you can.
HW 24, due F 10/31: Read Sec 4.3 p.221-222. Do: 11, 12, 33, 35, 37, 43, 44, 51, 52, 55, 57.
HW 23, due W 10/29: Read Sec 4.3 up to the Second Derivative test. Do: 5, 16, 18, 20, 22, 23, 24, 29, 33, 35, 37.
HW 22, due M 10/27: Read Sec 4.1. Do: 3, 5, 9-12, 17, 22, 33, 44, 47, 57.
HW 21, due F 10/24: Read Sec 3.7 p.194-197. Do: 19, 23, 25, 28, 29, 31, 32, 33, 36, 46.
HW 20, due W 10/22: Read Sec 3.7 p.191-194. Do: 3, 4, 5, 9, 13, 15, 25, 50.
Lab T 10/21: Do all of these problems: Arithmetic with Large and Small Numbers . No need to turn them in, but make sure you understand them fully. They are very important and will be on the next midterm and final exam.
HW19, due M 10/20: Read Sec 3.4 (may skip Continuously Compounded Interest). Do: 3, 6, 7, 9, 11, 13, 14, 15.
HW 18, due F 10/17: Read Sec 3.5 (no need to memorize Equation 10 and "2nd half" of Eqn 11). Do: 5, 7, 16, 17, 30, 32, 36-40. Also do Sec 3.2 problem 72 but with x approaching 2 from the right, not left.
You may find this interesting: Earliest Known Uses of Some of the Words of Mathematics (e.g. : CALCULUS. In Latin calculus means "pebble." It is the diminutive of calx, meaning a piece of limestone. The counters of a Roman abacus were originally made of stone and called calculi. ) Also: In dentistry, calculus or tartar is a form of hardened dental plaque. It is caused by the continual accumulation of minerals from saliva on plaque on the teeth. (from Wikipedia)
HW 17, due W 10/15: Do Sec 3.2: 30, 57, 60, 62, 72, 73, 75, 78. Also do 41, 42 but don't turn them in. Read Sec 3.3. Do: 1, 9, 29, 37, 40, 41, 52, 55, 62, 68; hints: for 29, see Equation 5 in Example 6; for 40, first write the function as f(g(h(x))); for 52, I want you to use logarithmic differentiation.
Just for fun: Etymology of Logarithm
HW 16, due F 10/10: Read Sec 3.2 (may skip "The Calculus of Inverse Functions"). Do: 3, 9, 13, 16, 19, 22, 24, 26, 29, Also do, but don't turn in, 1, 2.
HW 15, due W 10/8: Read Sec 3.1. Do: 1, 8-10, 12-17, 19, 23, 25, 27, 29.
Lab T 10/7: Use a graphing calculator or an online graphing calculator to do: Sec 3.1: 4, 6, 20, 21. Then work on HW 15.
HW 14, due M 10/6: Do Ch 2 Review Exercises (p. 142-143): 60, 62, 64, 67, 71, 73, 76, 77, 78.
HW 13, due F 10/3: Read Sec 2.8 (may skip "Differentials"). Do: 5, 9, 12, 14, 29, 30.
Midterm 1, W 10/1: Will cover HWs 1-11, and their corresponding sections. Start reviewing for the midterm at least one week in advance. A good way to review is to redo as many homework problems as you can.
Reminder: To pass this course, you must pass the functions, logarithms, and trigonometry Gateway exames by 9/30/14.
HW 12, due M 9/29: Read Sec 2.7. Do: 1, 2, 15, 22, 24, 42. Hint for 24: Use formula for volume of cone (Reference Page 1 at end of our book). Hint for 42: Use the Law of Cosines (Reference Page 2 at end of our book).
HW 11, due F 9/26: Read Sec 2.6. Do: 1, 15, 17, 23, 33, 34. Also do: Ch 2 Review Exercises (p. 141-142): 9, 39, 44, 48.
HW 10, due W 9/24: Do: Sec 2.5: 73, 78. Ch 2 Review True-False Quiz (p. 140): 1-12. Ch 2 Review Exercises (p.141): 1-7. As always, you should show all your work and reasoning, even for True-False questions.
HW 9, due M 9/22: Read Sec 2.5 up to p 119. Do: 30, 33, 34, 42, 50, 3, 55, 57-60.
HW 8, due F 9/19: Read Sec 2.4. Do: 25, 35, 42, 43, 47-51, 55.
Lab, T 9/16: introduction to spreadsheets -- Derivatives
HW 7, due W 9/17: Read Sec 2.2, p. 89-91; do: 33, 37, 39, 41, 47, 50. Read Sec 2.3 (may skip Example 10, but I recommend it for Economics majors); do: 1, 7, 10, 19, 27, 28, 32, 35, 43.
HW 6, due M 9/15: Read Sec 2.2 up to "Higher Derivatives". Do: 1, 3, 5, 9, 11, 20, 31. Also read page xvi (before sec 1); it mentions some pretty good resources and suggestions.
HW 5, due F 9/12: Read Sec 2.1. Do: 1, 5, 8, 9 10, 13, 15, 18, 19, 31, 33, 35, 37, 43-46.
HW 4.5 (don't turn in), due W 9/10: p. 70-71: do all problems in the True-False Quiz except problem 23; p. 71-72: 7-34, 37-40, 45-48.
HW 4, due M 9/8: Read p. 52-53; do: Sec 1.5: 36-39. Read Sec 1.6 (may skip the subsection "Precise Definitions"); do: Sec 1.6: 2, 6, 8, 25, 35, 39,44, 47, 49. For problems 6 and 8, if you don't remember what an even or odd function is, look it up in the book's index. For problem 25, look at Example 6.
HW 3, due F 9/5: Read Sec 1.4 p. 41; do: Sec 1.4: 31, 33, 63, 64. Read Sec 1.5 p. 46-51; do: Sec 1.5: 1, 3, 4, 6, 7, 9, 18, 23, 24.
HW 2, due W 9/3: Read Sec 1.4, pages 35-39. Do: 2, 10,15,18, 43, 45, 46..
Gateways, T 9/2: We will have three Gateway exams: functions, logarithms, trigonometry.
HW 1, due F 8/29: Read Sec 1.3; may skip "Precise Defintion of a Limit". Do: 1-6, 10, 13, 20-22.
A good online graphing calculator: Desmos (and here's a cool "program")