MTH 142 Spring 2002 - Section 07

This section of MTH142 is not coordinated with the other sections.  We will, however, be following a very similar format.

Introduction This second course in calculus assumes that you know and can use the basic ideas covered in MTH 141.  It is a 4 credit course, and a challenging one. You should plan on spending about 7-8 hours per week, outside of class, working problems, reading the text, and working on Projects. As in MTH 141, we will approach new ideas and problems from algebraic, graphical, and numerical points of view.

Goals and Objectives. The goals are to have you develop symbol manipulation skills, mathematical modeling skills, skills in the use of technology to treat mathematical problems, an understanding of the language of calculus, and an appreciation for the uses of calculus in the sciences. At the conclusion of this semester you should be able to:

• Calculate integrals using a variety of algebraic and numerical techniques.
• Solve problems in geometry, physics and probability using integrals.
• Solve first order ordinary differential equations by graphical, numerical and algebraic techniques, and to set up mathematical models for problems in the sciences.
• Calculate approximations to functions using the concepts of Taylor and Fourier expansions.
• Determine properties of convergence of numerical and power series.
• Treat problems involving modeling, algebraic calculations and numerical calculations by using technology
Maple assignments:  Listed below are the maple assignments for section (04) of MTH142.  Begin working on the projects well in advance, as you may find that you have questions.  Please come to my office hours with your questions.  The assignments below will turn into buttons that as soon as they are available.

Your Grade There will be a total of 700 points available as follows:

• Hour Exams - 300
• Final Exam - 200
• Maple Assignments - 100
• Class work - 100
• Class work One way I like to inspire students to come to class is to give you work to do in class.  You hand this work in for class credit.  I keep track of this work and it is the class work portion of your grade.  (40pts out of 100pts)

Homework Keep this in a notebook.  You must be self disciplined to do all of the suggested homework problems and to make sure each one is done correctly.  Remember you learn math by doing it.  Doing all of your homework is essential.  It helps you to practice doing all of the problems so that you can do them quickly enough when the time comes to take a test.  Bring this notebook to my office hours to show me your work and ask questions.  I will ask students to put up homework problems on the board in class.  This will count as extra credit toward the class work, homework, and quiz portion of your grade.

Suggested homework problems

• 6.4   p.281   1, 5 - 9, 12, 14, 15, 17, 20, 23, 25
• 6.5   p.283   1, 3, 5, 7, 9
• 7.1   p.296   1 - 39 (odd), 49, 53, 56, 64, 67, 73, 74
• 7.2   p.303   1 - 35 (odd), 38, 45, 50, 51
• 7.3   p.308   1 - 5, 18 - 28, 39
• 7.4   p.315    1 - 9, 13, 15, 22, 23, 27 - 30, 45
• 7.5   p.320   1, 2, 8, 11, 17, 20
• 7.6   p.325   5, 6, 7, 10
• 7.7   p.333   5 - 9, 17 - 24, 33, 35, 39
• 7.8   p.337   1 - 4, 16 - 21, 27, 34
• 8.1   p.350   1, 5, 8, 10, 13, 15, 18, 20 - 22, 29
• 8.2   p.358   1, 4, 5, 11, 13, 15, 18, 20, 21, 24, 29, 31
• 8.3   p.366   1, 3, 5, 9, 11, 14, 18, 23, 25
• 8.4   p.375   3, 7, 10, 11, 13, 19, 23, 25
• 8.5   p.382   3, 4, 6, 9, 10, 12, 19
• 8.6   p.388   1, 5 - 7, 11, 13, 15, 16, 18
• 8.7   p.395   1, 2, 5, 9, 15
• 9.1   p.410   6 - 14, 17, 18, 20, 23, 25
• 9.2   p.416   3, 6, 7, 9, 10, 14 - 18, 21, 24, 28
• 9.3   p.421   1, 2, 5 - 9, 13, 15, 19, 23, 25, 26
• 9.4   p.428   1 - 4, 5, 7, 8, 11, 14, 17, 18, 22, 23
• 10.1   p.440  1, 5, 7, 10, 13, 19, 21, 25, 26, 31
• 10.2   p.445   3, 7 - 10, 13, 15 - 18, 21, 27 - 29, 36
• 10.3   p.451   2 - 5, 10, 13, 19, 21, 29
• 10.4   p.457   1, 3, 5, 7, 11
• 10.5   p.468   1 - 4, 6, 10, 12, 14, 19
• 11.1   p.481   1, 4, 7, 8, 13, 14
• 11.2   p.485   1, 2, 5, 8
• 11.3   p.491   1, 3, 5, 7
• 11.4   p.495   5 - 25 (odd), 39, 40, 45
• 11.5   p.503   1, 5, 6, 9, 11, 19, 20
• 11.6   p.512   1, 4, 6, 7, 17, 18
Quizzes I will give you short quizzes in class, once a week.  The questions will be similar to homework problems from the material covered in the previous week.  I won't give make ups on missed quizzes.  Instead, I drop the 3 lowest grades from the semester.  Look for the quizzes and solutions on our class web page.  (60pts out of 100pts)

Keys to Quizzes
Quiz 1
Quiz 2
Quiz 3
Quiz 5

Time Table The following is a tentative schedule for the semester.  We may be slightly ahead or slightly behind at any given point.  The exam dates and due dates for maple assignments will not change.  On the days that "Review" is indicated, we will mainly go over home works, and work on problems in class.  Keep in mind that quizzes will be given approximately once a week.  The day may not be announced in advanced.

 Thursday In Class 1/24 § 6.4, § 6.5 1/31 § 7.1, § 7.2, § 7.3 2/7 § 7.4, § 7.5, § 7.6 2/14 § 7.7, § 7.8, § 8.1 2/21 Review EXAM 1 in evening 2/28 § 8.2, § 8.3, § 8.4 Maple 1 due 3/7 § 8.5, § 8.6, § 8.7 3/21 § 9.1, § 9.2, § 9.3 3/28 Review EXAM 2 in evening 4/4 § 9.4, § 10.1, § 10.2 Maple 2 due 4/11 § 10.3, § 10.4, § 10.5 4/18 § 11.1, § 11.2, § 11.3 4/29 Review EXAM 3 in evening 5/2 § 11.4, § 11.5, § 11.6  Maple 3 due 5/9 Comprehensive Final Exam

Guide for students:
Calculus is a demanding course.  You must study the material frequently in order to learn and retain it.  Not only do we sk you to know definitions and apply methods to solve basic exercises, but also understand ideas and apply them to solve word problems.  A good way to study is to meet with a study group to go over your solutions to the suggested homework problems.  Remember - success in this class depends on you and how much work you put into it.

Materials you will need for the course are:

1. a loose leaf notebook,
2. dividers,
3. a 3 hole puncher, and
4. a graphing calculator - TI-86 is recommended.

The following are suggestions for during class.

1. Take notes, especially the examples given.  Be sure to write down both the questions and the answers.
2. I will be giving out handouts with some notes on them.  Keep these in the proper order in your loose leaf notebook.
3. Don't miss class.

Between classes, it is recommended that you take the following steps.

1. Read over the section just covered.
2. Do all the suggested homework exercises and problems from that section.  Write out the questions as well as the solutions.  Keep these in a loose leaf notebook.
3. Check answers when available, noting the ones which do not have answers in the back of the book, usually the evens.
4. Check your answers with people in your study group or from class.
5. We will go over some of the evens in class, so keep track of the ones that are covered in class.
6. Come to my office hours to get help with those homework problems that you are not sure of.
7. Finally, preview the next section.  Read ahead.
1.
Solutions to selected homework problems:
• Solutions to exercises on handout "Integrating Rational Functions"

• Chapter 8,  more chapter 8, even more from 8
Chapter 9
Chapter 9,10,11

Practice for exams:
Practice for Exam 1 - Solutions
Key to exam 1, part 2
Key to exam 2
Review for Exam 3
Key to exam 3

EXTRA credit assignment.

EXTRA CREDIT MAPLE:  If you didn't get 100%, you may redo assignment 1 and hand it in
again, to improve the grade on this one assignment.
You MUST use the electronic submission and have it in to me by midnight Thurs March 21.

EXTRA CREDIT Toward the QUIZ grade:
Practice chapter 7 Review problems:
14,16,18,22,24,30,32,36,38,42,47,52,58   (these are all with
substitutions or by parts)
Using the tables:  76,81,82,84,
methods of section 7.4:  116,118,121.
You must show your work.  I will grade as right or wrong, no partial
credit.  Then you will get one chance to redo it.
DUE 1st time:  Thurs March 21
Due 2nd time: Thurs March 28.
PLEASE - don't bother to just copy over someone elses work.  THE WHOLE
POINT is to practice, get better at this, get my feedback and try
again.  Don't forget you will be tested on this material again for the
final exam.