MAT 171 – Calculus II
Syllabus
Class Time:
Text: Calculus, 8th edition, Larson, Hostetler, Edwards.
Instructor: André Wehner, Olin 111, Ph. 238-5919, e-mail wehner@centre.edu,
Office Hours: M-T-W-Th: 4-7, T-Th: 10-11, or by appointment..
Study
Sessions:
Grading: 10 quizzes @ 2.5% each = 25%
3 tests @ 10% each = 30%
Final 25%
Homework 20%
Tentative grading scale: 90 = A-, 80 = B-, 70 = C-, 60 = D
Course Description
The purpose of this course is to (1) learn techniques for solving problems in science, engineering, and economics, (2) improve your logical thinking skills. It is a continuation of Calculus I (MAT 170/141), which is the prerequisite for this class. It is assumed that by now you are familiar with the notions of limits, derivatives, and integrals, as well as the fundamental theorems of single-variable calculus. We now devote our attention to expanding the collection of familiar functions, developing further techniques for dealing with certain integrals and differential equations, and introducing the notion of sequences and series. If you decide to continue on to Calculus III (MAT 230, offered every fall), you will need the same textbook.
We will first discuss differentiation and integration of exponential, logarithmic, inverse trigonometric, and hyperbolic functions (Ch. 5) and apply calculus techniques to solve simple differential equations (Ch. 6). We skip Ch. 7 on applications of integration since, presumably, you have worked through this material in Calculus I. If this is not the case, please see me for help. We will continue with further techniques of integration (Ch. 8), such as integration by parts, trigonometric substitutions, and partial fractions. By this point, you should be familiar with the basic differentiation rules and integration formulas listed in the front cover of the textbook. The last two topics in this chapter, l'Hopital's Rule and improper integrals, are not directly related to integration techniques, but are of great practical importance. We will then turn to the introduction of infinite sequences and infinite series (Ch.8), and conclude the term with parametric equations and polar coordinates (Ch. 9).
I expect you to be prepared for class and to participate in class every day – being prepared means at the very least doing your homework, reading the assignment, and looking over notes from previous classes. Please let me know in advance if you must be absent for a scheduled college activity. Three unexcused absences will result in a lowering of the grade. It is your responsibility to make use of the resources available to help you do well in this course. I encourage you to visit me in my office, attend the study sessions, read material in advance, and form study groups with other students in the class. Ultimately, your grade will depend on the amount of study time and effort you put in on this course – it is not likely that you will do well if you do no more than show up for classes and cram for the tests. The course requires scheduled time each night for homework and study – if you don’t do a few problems each day, you may not be doing enough.
We will make repeated use of the computer algebra system Maple. I will pass out worksheets on the relevant Maple commands in class. Maple is available in the labs listed here. Right next to my office, in Olin 110, you will find our preferred Maple computer lab with four desktops and a long study table. The room has become an increasingly popular work and study space. Most of the time, I’ll be right next door waiting to help you!
You are expected to spend about 4 to 5 hours per week on homework and class preparation. If you do the homework, you should do fine in this class. Assigned homework is listed below and will be collected on the announced dates. I only assigned odd-numbered problems, so you know the answers from the back of the book. It will be spot-checked and scored based on the following scheme: 1 point if you attempt a problem, 2 points if you provide a complete solution, and 0 for not doing a problem. Late homework will not be accepted (of course, exceptions can be made for emergencies).
There will be three tests (one hour each) and ten quizzes (about ten minutes each) during the course of the semester. The questions on the tests and quizzes will closely mirror the assigned homework problems and the laboratory exercises. They are “closed everything”. You may use single-line scientific calculators, but not graphing calculators. The solutions you present must be complete, coherent, and well-organized. You must show all work for full credit.
The quizzes will be given at the beginning of class. If you are late, you will not be given extra time. If you have to miss class for a valid reason (proof required!), you will be allowed to make up a quiz/test. If you know in advance you will have to miss a quiz/test, you should make arrangements to take it early.
In cooperation with the disability resource center, reasonable accomodation will be provided for students with disabilities. Please meet the instructor during the first week of class to make suitable arrangements.
This syllabus is available online at http://web.centre.edu/wehner/courses/m171s06.htm .
Schedule
|
Day |
Section covered |
Homework (odd-numbered problems only; due dates will be announced in class) |
|
|
|
|
|
2/3 |
5.1 |
7-15, 23-31, 53-69, 71-75, 81-85, 93, 95, 105, 109 |
|
2/6 |
5.2 |
5-11,
19-25, 37, 39, 69-73, 89-93 |
|
2/8 |
5.3; Quiz
1 |
3-13,
25-31, 47-51, 73-85 |
|
2/10 |
5.4 |
7-13,
21-27, 37-43, 53-59, 63-69, 73, 75, 87-93, 103-109 |
|
2/13 |
5.5 |
1-13,
23-29, 37-45, 49-57, 63-67, 79, 81, 85, 89-93, 107, 109 |
|
2/15 |
5.6; Quiz
2 |
5-11,
17-27, 35-51, 61, 71-75, 89 |
|
2/17 |
5.7 |
1-9,
25-37, 63, 79 |
|
2/20 |
5.8 |
7-11,
15-19, 39-43, 51-59, 73-77 |
|
2/22 |
Summary |
|
|
2/24 |
Test 1 |
|
|
2/27 |
6.1 |
5-9,
19-27, 45-49, 53-59, 63, 69 |
|
3/1 |
6.2 |
21-25,
41, 49, 63, 69, 71 |
|
3/3 |
6.3; Quiz
3 |
1-5, 13-17,
23-29, 35-43, 49, 53-59, 67-71, 75, 79 |
|
3/6 |
8.1 |
19-29,
69-73, 85, 93-97 |
|
3/8 |
8.2 |
11-31,
61-67, 89-93, 107-113 |
|
3/10 |
8.3; Quiz
4 |
7-15,
23-27, 37-41, 61-67, 87, 105 |
|
3/13 |
8.4 |
5-17,
23-31, 43, 47, 67-71 |
|
3/15 |
8.5 |
9-25, 41-47,
63, 65 |
|
3/17 |
8.7; Quiz
5 |
|
|
3/27 |
8.7 |
5-23,
37-45, 65-69, 83, 85, 95-99, 109 |
|
3/29 |
8.8 |
1-9,
15-21, 33-39, 49, 53-59, 69-75, 83, 91-99 |
|
3/31 |
Summary |
|
|
4/3 |
Test 2 |
|
|
4/5 |
9.1 |
3-19,
35-41, 47-61, 69-77, 83-87, 109, 113, 121, 123 |
|
4/7 |
9.2 |
3-11,
23-27, 37-45, 53, 57-63, 79-83, 97, 103, 107-111, 125, 129 |
|
4/10 |
9.3; Quiz
6 |
1-9,
25-31, 51-55, 61, 63, 67, 75 |
|
4/12 |
9.4 |
3-7,
15-19, 29-35, 41-45, 61, 63 |
|
4/14 |
9.5 |
11-25,
33, 37-41, 47-55, 89 |
|
4/17 |
9.6; Quiz
7 |
3-9, 13-23,
33, 37-41, 51-65, 83-89 |
|
4/19 |
9.7 |
1-5,
15-27, 37, 45-59, 67 |
|
4/21 |
9.8 |
5-23,
41-47, 63-71 |
|
4/24 |
9.9; Quiz
8 |
5-13,
17-21, 31-35, 39, 53-57 |
|
4/26 |
9.10 |
1-9,
15-25, 35, 37, 43, 45, 53-59, 73, 77-81 |
|
4/28 |
Summary |
|
|
5/1 |
Test 3 |
|
|
5/3 |
10.1 |
1-15,
21, 25, 31, 33, 39, 49, 51, 57, 67-75, 91, 101, 103 |
|
5/5 |
10.2;
Quiz 9 |
3-15,
33, 35, 39-45 |
|
5/8 |
10.3 |
5-11,
15, 21, 25-31, 47-53 |
|
5/10 |
10.4;
Quiz 10 |
5,
15, 23-39, 59, 65, 73-85 |
|
|
|
|
|
5/15am |
Final (comprehensive) |
|