Final Exam: Tuesday May 3, 6:30pm. The exam will cover all homeworks and their corresponding sections. Start reviewing three weeks in advance (i.e., now!).
HW 27, due W 4/13: Read Sec 7.3. Do: Sec 7.3: 1, 2, 5-9, 29, 30, 42.
HW 26, due M 4/11: Read Sec 8.8 p.489-492; for error approximations, if you don't understand the book, it's enough to understand what we did in class. Do: Sec 8.8: 9, 13, 15, 19, 20.
HW 25, due F 4/8: Read Sec 8.7 p.476-478 (may skip Theorem 8), plus Examples 3-6, 9, 10. Do: Sec 8.7: 1-5, 12-16, 27, 29, 31, 43, 59, 64.
HW 24, due W 4/6: Read Sec 8.6 (may skip Example 4). Do: Sec 8.6: 1, 2, 7, 9, 13, 15, 25, 27, 34, 37, 40.
The link below shows which homework problem each problem on the midterm was based on.
Midterm 2: F 4/1. The exam will cover HWs 12-22 and their corresponding sections. Start reviewing 10 days in advance by redoing all homework problems that you're not sure you remember how to do.
HW 23, due M 3/28: Read Sec 8.5. Do: Sec 8.5: 1, 2, 11, 15-27.
HW 22, due F 3/25: Read Sec 8.4 p. 460-462; may skip proof of the Ratio Test. Do: Sec 8.4: 2, 21, 27-29, 34, 36-41, 43-45.
HW 21, due W 3/23: Read Sec 8.4 p.454-459; may skip proof of the Alternating Series Test, but make sure you understand Figure 1. Do: Sec 8.4: 1-7, 9, 13, 14, 17-20, 22, 30, 31, 33, 35.
HW 20, due M 3/21: Do Sec 8.3: 27, 29-34, 37, 39-46.
HW19, due F 3/18: Read Sec 8.3. You're not responsible for being able to prove the Integral Test, but I suggest you read its proof anyway; it will help conceptually with the next homework assignment. Do: Sec 8.3: 2-5, 8-10, 12, 13, 15-19, 21, 22.
HW 18, due W 3/16: Do: Sec 8.2: 40-42, 44, 49-55,
HW 17, due M 3/14: Read Sec 8.2. Do: Sec 8.2: 1, 2, 7, 9, 13, 14, 17, 19, 22-24, 26, 27, 29-31, 33, 35, 37.
HW 16, due F 3/4: Read Sec 8.1; may skip Definitions 2 & 5, and the proof of Theorem 11. Do: Sec 8.1: 1, 2, 5, 13, 14, 18-21, 29-33, 38-40.
Lab, R 3/3: Optional: Do Sec 8.1: 41-43.
HW 15, due W 3/2: Read Sec 7.7; may skip Logistic Growth and Direction Fields, but don't skip Mixing Problems. Do: Sec 7.7: 12, 13, 15, 17, 33, 35, 38, 39, 44.
HW 14, due M 2/29: Do Sec 7.2: 27, 28, 33, 35-38, 41, 45, 47a, 49, 51, 54. For the boldface ones, only set up the integral, but don't evaluate it. Read Sec 7.4, including the derivation on p.387 for the arc length formula. Do: Sec 7.4: 1, 2.
HW 13, due F 2/26: Read Sec 7.2 p. 370-374. Do: Sec 7.2: 1, 3, 15, 17, 25(in lab). Also do Sec 7.1: 31-33, 36, 37, 39, 41. For #32 & 33, you may use the table of integrals at the end of the book.
HW 12, due W 2/24. Read Sec 7.1. Do: Sec 7.1: 3-6, 13, 19, 21, 23, 28, 29.
Midterm 1, F 2/19: It will cover HWs 1-11 and their corresponding sections. Here's my 2013 exam; it should give you some idea of what format and length to expect (but not necessarily what problems to expect). The numbers in parentheses, e.g. (5.2:17), indicate the section and homework problem I based the question on. But we used a different textbook back then, so some of your problems will be quite different. For example, you won't have a problem like 2c on the exam. Also, I may include a few multiple choice problems. The best way to review for the exam is to try to redo all homework problems that don't look completely easy to you --- do them without looking at any solutions or other aids.
Lab, R 2/18: Optional: Do the True-False Quiz at the end of Chapter 5 (p. 308-309).
HW 11, due W 2/17: Read Sec 3.7 (L'Hospital's Rule); may skip NOTE 3. Do Sec 3.7: Part I: 3, 4, 5, 9, 13; Part II: 15, 19, 23, 25, 28, 29, 31, 32, 33, 36, 46. Part I is straightforward; if you've seen L'Hospital's Rule before, you can skip it. But Part II isn't as straightforward; before doing Part II, it may help to do this worksheet: Arithmetic with large and small numbers. The worksheet is useful not only for L'Hopital's Rule, but also for when we will do Infinite Series (second half of the semester).
HW 10, due F 2/12: Read Sec 6.6 p.359-360. Do: Sec 6.6: 41-46, 62-64.
Lab R 2/11: Do: Sec 6.6: 39, 40. Sec 6.5: 23.
HW 9, due W 2/10: Read Sec 6.6 p.353-358. Do: Sec 6.6: 1, 14, 16, 28, 29, 30, 32, 48, 49, 51, 53, 55.
HW 8, due M 2/8: Read Sec 6.5; may skip pages 346 and 349-350. Do: Sec 6.5: 1, 2, 17, 26, 27, 29.
HW 7, due F 2/5: Read Sec 6.1; may skip Example 6. Do: Sec 6.1: 4, 7, 9, 23-26, 39-43, 45.
Lab R 2/4: Optional: Do the following problems, especially if you plan to major in math or physics. Sec 6.1: 32a, 34, 46.
HW 6, due W 2/3: Read Sec 5.5; may skip everything before Example 1. Do: Sec 5.5: 19, 30, 35, 43, 44, 52, 55, 63, 66, 68, 69.
HW 5, due M 2/1: Read Sec 5.4; may skip Mean Value Theorem for Integrals and proof of FTC. Sec 5.4: 3, 9, 13, 18, 19, 22, 24, 25, 27, 29, 31, 33ab. For #29c, use the function Plot[] in Mathematica.
HW 4, due F 1/29: Read Sec 5.3 (you may skip the proof the the Evaluation Theorem; but if you'll be majoring in math or physics, or plan to go to graduate school in any science or economics, you should read it). Memorize Table 1 on p. 284, but integrals involving csc, cot, sinh, cosh are optional. Do: Sec 5.3: 9, 17, 23, 28, 31, 32, 51, 53, 54, 56-59, 61, 69, 70.
Lab, R 1/28: Use the software Mathematica to check your answer for the homework problem Sec 5.3: 28. Hints for using Mathematica. When done, continue with HW and ask me any questions.
Some problems in the book are labeled "CAS" (Computer Algebra System). I will regularly assign such problems, and you'll need to use Mathematica for them.
HW 3, due W 1/27: Read Sec 5.2; you may skip the subsection "Evaluating Integrals" (p. 272-273). Do Sec 5.2: 10, 17, 25, 29, 33, 36-44, 46, 47.
HW 2, due M 1/25: Read Sec 5.1; you may skip Example 2. (Remember: you should read the book slowly and carefully; it should take you about an hour for each section.) Do: Sec 5.1: 2, 8, 11, 12, 13, 19a. Don't use a calculator for any of these problems --- just don't simplify your final answer. Click on the link "Solutions" above for solutions to homework problems. When you read a solution, that doesn't mean you will be able to do the problem on your own. You should wait a week or so after reading the solution and then see if you can do the problem on your own.
HW 1, due F 1/22: Read all of Sec 4.7. You should spend about an hour reading the textbook (regardless of how much time you spend reading your notes). Read slowly! Some parts of the book may need to be read multiple times to fully understand them. Then do: Sec 4.7: 1, 5, 9, 16, 31, 34, 36, 37, 43, 46, 49.
Calculators are not required for this course --- you can instead use a computer for homework problems that have a calculator symbol next to them in the book; but the ones that don't have the symbol and can be done by hand, you should do them by hand to prepare yourself for exams, because calculators are not allowed on exams.