Course: Mathematics 132 A and B, Calculus and Analytic Geometry 2, Spring 2002, Central College.
Professor: Tom Linton , 312 B Central Hall, (641) 628-5264, email: lintont@central.edu.
Class Meets: MTWF in Central Hall 310, 8:00 to 8:50 AM Section A and 11:00 to 11:50 Section B.
Office Hours: 1 PM Mon and Thur, 9 AM Tues, 10:00 AM Fri, or by appointment.
Text: Single Variable Calculus 3rd Edition, by Hughes-Hallett, Gleason, McCallum et al.
Technology: A graphing calculator similar to the TI-83 is required. If you have one, you should bring it to class daily. Calculators may be used on all exams except the gateway. We will utilize Mathematica and perhaps other software applications as well. No prior knowledge of these programs is assumed. The class web page is located at the URL http://www.central.edu/homepages/lintont/classes/spring02/calc2frameset.html and information relevant to this course may come via email. You should check your email and the class web page on occasion.
Final Exam: Tuesday May 7, 8 AM (section A), and Thursday May 9, 3:30 PM (section B), both in 310 Central Hall.

Class Overview

Calculus is the study of change; how variations in one quantity relate to changes in another. These relationships are abundant in our daily lives. As such, understanding calculus will help you better understand the interactions of the world around you. The skills you develop in this course will provide a powerful collection of tools for analyzing and predicting these interactions. A knowledge of calculus 1 is assumed, where you should have mastered differential calculus skills and been introduced to the integral. While many students find calculus challenging, the knowledge you gain greatly outweighs the time and effort devoted to thoroughly understanding the concepts of the course. You will work hard, but your efforts will be amply rewarded. We will cover the notions of the definite integral, antidifferentiation, integration, applications of integration, sequences and series (much of chapters 5 to 10 in the text).

Our text is exceptional and may differ significantly from mathematics texts which you have used previously. Unlike many mathematics texts, you should find our text to be a wonderful learning resource, specially designed to be read (as opposed to just a source of questions with similar examples). You should strive to read the text, it is written with you in mind. Reading mathematics is a skill we will focus on in this course and an active process, unlike reading most novels or poems. Your homework assignments will likely contain fewer problems than past assignments, and it is expected that you will struggle with most of these problems. Deciding what to do in order to solve a problem will play a major role in this course, and "doing it" correctly is important, but by no means the only requirement for success. In short, we will emphasize the why much more than the how in this course. Most students that struggle with calculus fall behind at some point, avoid this like the plague. One day at a time, calculus is easy! If you blow off a few days, it can become much more challenging.

Goals and Objectives

Upon completing this class, students will If any student has a physical, learning or psychiatric disability that restricts the development or expression of your gifts, please feel free to let me know so that we can, when possible, make accommodations that will enhance your classroom experience.

Grades

Grades, based on the letter, or A, A-, B+, B, B-, . . . system, will be based on a curve of the total points in the class. The curve used will be the traditional 100-93 A, 92-90 A-, 89-88 B+, etc. (or an easier curve). The breakdown of the points in the class is given below. There is no extra credit for this class. You are encouraged to work together on group assignments (including homework), but copying answers of others (including those in the back of the text) will result in no credit.

Exams: There will be three midterm exams worth 100 points each and a gateway exam over the rules of antidifferentiation. Tentatively, the midterm exams will occur after we complete chapters 6, 8, and 9, or approximately on the dates February 6 (exam 1), March 6 (exam 2) and April 17 (exam 3). The gateway exam will be given after we complete chapter 7. We will also have a 150 point cumulative final exam.

Quizzes and Homework: I will collect homework assignments regularly (after each section of the text is covered) and there will be regular (every week or two) quizzes as well. Normally, quizzes will be announced. There will be approximately 350 points total (200 on HW and 150 on quizzes) based on your homework and quiz grades. You should keep your homework in a separate notebook so that it can be collected at any time. Recording "just the answer" will receive little or no credit. You should show and/or explain your work on all assignments for this class. You are encouraged to work together on homework assignments, but this does NOT mean copying the work of others nor answers from a solution set.

Activities and Projects: We will likely complete several activities (mostly in groups), some in-class, others may be out of class. These activities will involve the current topics of the course and normally serve as an introduction of a concept, or an application of a concept covered earlier. We will have approximately 100 points (total) worth of activities. We will do one or two group projects worth 75 points each. These are challenging group assignments, similar to tough take-home exam problems that require word processed write-ups and emphasize writing mathematics in a clear and concise manner. You will be given approximately 2 weeks to complete each project.

Class Participation and Attendance: There will be 50 points based on your class participation (asking questions, taking part in discussions, contributing to your group in activities, etc.) and attendance. I will determine your score for these 50 points. You are responsible for all of the material covered in class each day, even if you are not present.

Late assignments and academic dishonesty: Late homework, activities, etc. will be penalized by 10% each lecture they are late. I am fairly flexible about giving exams at alternate times, BUT you should definitely warn me before the exam is missed, and plan on taking it early rather than late. Quizzes missed due to absences can NOT be made up. Plagiarism, or copying answers from other people or books without citing the source is a serious offense and will result in no credit for the work.  It is OK to discuss your answers with other groups on group assignments, but  the work you turn in must be your own.

Class Materials

TI-83 tutorials
Mathematica materials
Activities
Breakfast line, area under curves activity.
Mathematica activity on the error in using MID and TRAP to approximate integrals.
Projects
General advice for working on projects.
The photo finish horse race project (guideline tip sheet). Three horses, whose velocities are given in numeric, graphical, and algebraic form, run a race. It is your jpb to determine which horse wins, and to explain how you know that horse wins.
Quizzes and Exams
quiz 1, areas via rectangles, average value, interpretations of the integral.

Practice exam 1 (answers), chapters 5 and 6 of the text (antiderivatives and the FTC).

Practice exam 2, chapter 7.1 to 7.7 (integration) questions.

Schedule

Relevant information will be added to this schedule as we progress through the semester. An up to date version is available on line at http://www.central.edu/homepages/lintont/classes/spring02/calc2frameset.html#schedule.
 
Week
Dates
Sections
Assignment
1
1-14 to 18
5.1,5.2,5.3
5.1#3,5,7,10,12
5.2#1,4,10*,14*,28,30
* use Mathematica
5.3 #1,4,7,12,15,28
2 1-21 to 25 5.3, 5.4 5.4#2,3,4,8,14,15,17,18,19
breakfast line activity
quiz 1
3 1-28 to 2-1 6.1, 6.2 6.1#2,6,8,10,12,17,22
6.2#3,6,17,18,21,25,28,32,40,41,44,47
52,58,61,64,69,77,78
4 2-4 to 8 6.3, 6.4, 6.5 6.3#3,5,7,11,14,18,23
6.4#2,8,10,15,18,20,22
6.5#1,2,5,6 horse race project
Exam 1 practice (answers)
5 2-11 to 15 7.1 7.1#2,3,6,9,10,17,18,22,25,29,36,44,
46,47,50,51,54,60,61,63,69,70,72,74
6 2-18 to 22 7.2, 7.3 7.2#2,3,6,11,19,23,26,28,35,36,49,50
7.3#3,5,8,12,15,30,31,39
quiz 2
7 2-25 to 3-1 7.3, 7.4 7.4#1,4,5,8,9,10,14,17,22,28,38,40
8 3-4 to 8 7.4, 7.5 quiz 3
7.5#2,4,8,9,11,12,17
9 3-11 to 15   SPRING BREAK!
10 3-18 to 22 7.6, 7.7 Mathematica activity on error
7.6#3,5,7,8,9
7.7#2,3,5,8,13,14,24,25,39
11 3-25 to29 7.8 exam 2 practice
12 4-2 to 5 7.8, 8.1 7.8#1,2,8,14,17,18,23,24,27,28
13 4-8 to 12 8.2
quiz 4
8.1# 1,2,4,8,10,12,27
8.2#1,4,9,10,11,20,21,22
14 4-15 to 19 9.1 9.1#1,2,5,6,11,15,16,17,18,25,26
Gateway exam
15 4-22 to 26 9.2, 9.3 exam 3
17
May 7
May 9
Tues 8 AM
Thurs 3:30 PM
Section A Cumulative Final Exam
Section B Cumulative Final Exam