You should check this page frequently (i.e., daily) for updated information. I will post any notes, worksheets, labs, etc. distributed in class on this page. I will also post suggested daily practice problems on this page. Although you are not required to turn in the suggested daily practice problems, I strongly encourage you to work on them. Quiz problems will be taken verbatim from the suggested daily practice problems. Check the Math 112 Homework page for the homework assignments to be turned in and graded.
| Class | Date | Topic | Suggested practice problems | Notes, worksheets, etc. |
| 1 | Monday January 14 | 4.2: l'Hopital's rule (note: photocopies of section 4.2 will be distributed in class) | 4.2: 55-81 odd Answers to suggested problems |
l'Hopital's Rule Examples | 2 | Wednesday January 16 | Review of 5.1-5.4; Integration by Substitution | 5.4: 1-9 odd, 23, 31, 33, 37, 39, 43, 47, 51, 57, 67, 69, 71, 73 | Integration Review Worksheet | 3 | Friday January 18 |
8.1: Integration by Parts | 8.1: 9, 11, 13, 21, 31, 37, 45 | Integration by Parts Worksheet | 4 | Monday January 21 | Homework 1 Due 8.2: Partial Fractions |
8.2: 1, 5, 15, 17, 31 (challenge problem--for a hint, see Ex. 7 on p. 473), 35 | Partial Fractions Worksheet | 5 | Wednesday January 23 | Quiz 1 8.2: Partial Fractions (continued) Integration Practice Gateway Exam Starts |
Practice for the Gateway Exam! Review old homeworks and in-class examples. | Gateway Practice ProblemsMaple file for evaluating integrals This file is posted on the P: drive at P:/Class/Math/Paquin/CalcB/Integrals.mw. You can use Maple to check your answers on the Gateway Practice Problems. |
6 | Friday January 25 |
5.6: Approximating Sums: The Integral as a Limit | 5.6: 11, 15 (L_4, R_4 only--you don't need to compute the midpoint or trapezoid sums), 17 (L_4, R_4 only) | 7 | Monday January 28 | Homework 2 Due 5.7: Sigma Notation Evaluating Sums in Maple |
5.7: 1, 3, 5, 7, 9, 11 | Sigma Notation Worksheet Maple file for evaluating sums This Maple file is posted on the P: drive at P:/Class/Math/Paquin/CalcB/sums.mw |
8 | Wednesday January 30 | Bring the worksheet titled "Approximating Integrals in Maple" with you to class on Friday! No quiz--The quiz this week will be on Friday instead of Wednesday! 5.7: Working with Sums |
5.7: 25, 35 (if you prefer, you can use right sums for #35--either left or right sums are fine), 41 | Integrals as Riemann Sums | 9 | Friday February 1 |
Bring the worksheet titled "Approximating Integrals in Maple" with you to class! Note: No office hours today! Quiz 2 Numerical Approximations of Integrals in Maple |
Work on the in-class worksheet Please finish #1-7 (i.e. up to page 3) before class on Monday. We will talk about the problems on p. 4 in class on Monday. |
In-class worksheet: Approximating Integrals in Maple Maple file for approximating integrals This Maple file is posted on the P: drive at P:/Class/Math/Paquin/CalcB/IntegralApprox.mw |
10 | Monday February 4 | Homework 3 Due 6.1: Numerical Approximation of Integrals |
6.1: 3; 5 (a); 15, 17 Note: On 5(a), you don't need to compute S_20. |
Summary of Numerical Approximation Results This Maple file is posted on the P: drive at P:/Class/Math/Paquin/CalcB/Approx2.mw |
11 | Wednesday February 6 | Quiz 3 In-class lab: Numerical Approximation 6.2: Error bounds |
6.2: 5, 11, 13, 15, 17 | Error bounds Carpeting Problem. You may work in groups of no more than three students on the carpeting problem. If your group submits a complete solution to the carpeting problem anytime before Wednesday, February 20, each member of your group will earn 2 extra credit points on Exam 1. This lab is adopted from "Writing Projects for Mathematics Courses," published by the MAA. |
12 | Friday February 8 |
7.1: Area between curves 7.1: Arc length |
7.1: 15, 17, 21, 23, 43, 47 | Area between curves | 13 | Monday February 11 | Homework 4 Due 7.2: Volumes |
Worksheet/notes: Cross-sectional volumes | 14 | Wednesday February 13 | Quiz 4 More work with volumes Visualizing volumes in Maple |
7.2: 11, 13, 15, 17 | Worksheet/notes: Volumes of revolution This Maple file is posted on the P: drive at P:/Class/Math/Paquin/CalcB/VolumePlot.mw |
| 15 | Friday February 15 |
Formal derivation of the arc length formula The Goblet Project |
Study for Exam 1. | The Goblet Project Some sample goblets from a previous Calc B class Maple file for constructing piecewise functions You may work in groups of up to 3 on the goblet project. If your group submits a complete solution for the goblet project anytime before Wednesday, February 20, each member of your group will earn 2 extra credit points on Exam 1. |
| 16 | Monday February 18 | Homework 5 Due Review for Exam 1 |
Study for Exam 1. | |
| 17 | Wednesday February 20 | Exam 1 Carpet Problem Due (2 extra credit points on Exam 1) Goblet Project Due (2 extra credit points on Exam 2) |
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| 18 | Friday February 22 |
2.5: Intro. to Differential Equations (note: photocopies of section 2.5 will be distributed in class) | 2.5: 1, 3, 5, 9, 17, 19, 21, 23, 27, 43 Answers to the practice problems |
Intro. to DE's worksheet |
| 19 | Monday February 25 | 7.4: Separable Differential Equations | 7.4: 17, 19, 21, 27, 29, 31 | Separable DE's worksheet |
| 20 | Wednesday February 27 | Newton's Law of Cooling Begin Differential Equations Lab |
Newton's Law of Cooling worksheet This Maple file is posted on the P: drive at P:/Class/Math/Paquin/CalcB/Newton.mw Differential Equations Lab: Due Friday, March 21, 5:00 pm |
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| 21 | Friday February 29 |
Homework 6 Due Differential Equations Lab Last day to take/retake the Gateway Exam |
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| 22 | Monday March 17 |
10.1: Improper Integrals | 10.1: 7-19 odd, 29, 33, 41, 47, 51 Note: you should wait until after Wednesday's class to do problems 15, 29, 41, 47, 51. |
Improper integrals worksheet |
| 23 | Wednesday March 19 | Quiz 5. Quiz 5 will cover section 2.5 (intro. to DE's) and section 7.4 (separable DE's). 10.2: Convergence of Improper Integrals Practice with Improper Integrals |
10.1: 15, 29, 41, 47, 51 Work on the Practice with Improper Integrals worksheet Answers to the practice with improper integrals worksheet |
Convergence of improper integrals worksheet Practice with improper integrals worksheet Answers to the practice with improper integrals worksheet |
| 24 | Friday March 21 |
Continued work on improper integrals | Work on the Practice with Improper Integrals worksheet Answers to the practice with improper integrals worksheet |
Practice with improper integrals worksheet Answers to the practice with improper integrals worksheet |
| 25 | Monday March 24 |
Homework 7 Due 11.1: Introduction to Sequences |
11.1: 1, 3, 5, 7, 9, 11, 13, 15, 17, 27, 53 Sequences Practice Problems worksheet Answers to the Sequences Practice Problems |
Intro. to Sequences worksheet Sequences, part 2 worksheet Sequences Practice Problems worksheet Answers to the Sequences Practice Problems |
26 | Wednesday March 26 | 11.1: The Squeeze Theorem Practice with Sequences 11.2: Introduction to Series |
Sequences Practice Problems worksheet Note: You don't have to do #20 on the Sequences Practice Problems worksheet. Answers to the Sequences Practice Problems |
Sequences Practice Problems worksheet Note: You don't have to do #20 on the Sequences Practice Problems worksheet. Answers to the Sequences Practice Problems Introduction to Series worksheet |
| 27 | Friday March 28 | Work on the practice problems for 11.1, the Sequences Practice Problems worksheet, the practice problems for 11.2, and the Intro. to Series Practice Problems worksheet. | Sequences Practice Problems worksheet Note: You don't have to do #20 on the Sequences Practice Problems worksheet. Answers to the Sequences Practice Problems 11.2: 1(a); 19; 25(a),(b),(c); 39; 41. See Example 9 in your book, or Example 7 on your in-class series worksheet, for a hint on #39. See Example 5 in your book, or Example 5 on your in-class series worksheet, for a hint on #41. Intro. to Series Practice Problems worksheet Answers to the Intro. to Series Practice Problems worksheet |
Introduction to Series worksheet Intro. to Series Practice Problems worksheet Answers to the Intro. to Series Practice Problems worksheet |
| 28 | Monday March 31 |
Homework 8 Due 11.2: Geometric Series |
11.2: 11, 13, 17, 23, 25, 39, 41, 43, 45, 49 | Geometric Series |
| 29 | Wednesday April 2 | Quiz 6: Sequences and Intro. to Series 11.3: Convergence Tests Practice with Series |
More Series Practice Problems worksheet Answers to the More Series Practice Problems worksheet |
Convergence Tests |
| 30 | Friday April 4 | 11.4: Absolute Convergence and the Alternating Series Test | 11.4: 9, 19. Note: For each of these problems, you only need to determine whether the given series converges or diverges. You do NOT need to do any of the estimations/upper/lower bounds. 11.4: 11, 21. Use the Ratio Test for these problems. For each of these problems, you only need to determine whether the given series converges or diverges. You do NOT need to do any of the estimations/upper/lower bounds. |
Absolute Convergence and Alternating Series |
| 31 | Monday April 7 |
Homework 9 Due 11.5: Power Series |
11.5: 3, 7, 9 | Intro. to Power Series |
| 32 | Wednesday April 9 | Quiz 7: Series 11.5: Power Series Practice with Power Series |
11.5: 27, 29, 31 Power Series Practice Problems (answers are included on the worksheet so that you can check your work) |
Intro. to Power Series Summary of tests for convergence and divergence of series |
| 33 | Friday April 11 | 11.6: Power Series as Functions, Part 1 |
Do the practice problems on the Power Series as Functions, Part 1 worksheet (answers are included on the worksheet so that you can check your work) | Power Series as Functions, Part 1 |
| 34 | Monday April 14 |
Review for Exam 2 | ||
| 35 | Wednesday April 16 | Homework 10 Due | ||
| 36 | Friday April 18 | 11.6: Power Series as Functions, Part 2 | Do the practice problems on the Power Series as Functions, Part 2 worksheet Here are solutions to the practice problems so that you can check your work. Note: no simpliciation is necessary for these problems. In particular, it is NOT necessary to simplify your answers as much as I have on the posted solutions. As long as you have any one of the forms of the solutions that I have posted, that is fine. You do not need to worry about simplifying to the other expressions. On number 3, the third term in the expanded form containing x should be 1/18*x^18. |
Power Series as Functions, Part 2 |
| 37 | Monday April 21 |
11.7: Taylor Series | Review your in-class notes on Taylor Series. In particular, make sure you understand how the Taylor Series formula is derived. | Taylor Series |
| 38 | Wednesday April 23 | Morning section in Tomsich 103!! Quiz 8: Power Series. The quiz problems will be taken from the Power Series as Functions, Part 2 practice problems. Practice with Taylor Series. |
Practice Problems: Taylor and Maclaurin series. Here are solutions to these practice problems so that you can check your work as you go. | Taylor Series |
| 39 | Friday April 25 | Morning section in Tomsich 103!! More practice with Taylor and Maclaurin Series Bring your Taylor and Maclaurin Series practice problems and your Homework 12 worksheet to class. |
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| 40 | Monday April 28 |
Homework 12 Due 9.1: Taylor Polynomials Practice with Taylor Polynomials Graphing Taylor Polynomials using Maple |
9.1: 7, 9, 13, 15, 17, 19, 21, 23, 27. For each of these problems, just find the Maclaurin or Taylor polynomial for the given function. You do not need to do the part about the approximation error. Note: You will not have any problems to turn in from Section 9.1, so you should work on the practice problems to make sure that you understand the material in Section 9.1. Also make sure that you do the examples on the in-class Taylor Polynomials worksheet. The solutions and Maple graphs for those examples are posted (see the links to the right). |
Taylor Polynomials Here are the solutions for the Taylor Polynomials examples on the worksheet. This Maple file illustrates the graphs that you should obtain for each of the example problems. This Maple file is also posted on the P: drive at P:/Class/Math/Paquin/CalcB/TaylorPolyExamples.mw. |
| 41 | Wednesday April 30 | Quiz 9: Taylor Series and Polynomials. The quiz problems will be taken from the Practice Problems: Taylor and Maclaurin Series worksheet. 9.2: Error Bounds for Taylor Polynomials |
9.2: 3(a); 5(a); 9(a),(b); 17 Note: You will not have any problems to turn in from Section 9.2, so you should work on the practice problems to make sure that you understand the material in Section 9.2. |
Error Bounds for Taylor Polynomials |
| 42 | Friday May 2 | Conclusions Course Evaluations |