Calculus 2 homepage

Course Information

Course: Mathematics 132 A, Calculus and Analytic Geometry 2, Fall 2003, Central College.
Professor: Tom Linton , 129 Vermeer Science Center, (641) 628-5264, email: lintont@central.edu.
Class Meets: MTWF from 11:00 to 11:50 AM in VSC 141.
Office Hours: Mon 9-9:50 AM, Tues and Wed 1-1:50 PM, Thurs 10-10:50 AM, 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/fall03/calc2frameset.html . There is a BlackBoard site for this class as well, and information relevant to this course may come via email. You should check your email and the class web pages on occasion.
Final Exam: Thursday December 18, 8 AM in VSC 141.

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

Have an understanding of the vocabulary related to integral calculus, differential equations, sequences, and series.
Be able to construct antiderivatives analytically, graphically, and numerically.
Master the basic rules of analytic antidifferentiation.
Decide if improper integrals converge or diverge, and estimate values for the convergent integrals.
Master the basic techniques of convergence for series, particularly the geometric series.
Be exposed to several applications that utilize calculus techniques.
Gain respect for, and learn to use some basic features of Mathematica.

American Disabilities Act Central College abides by interpretations of the Americans with Disabilities Act and Section 504 of the Rehabilitation Act of 1973 that stipulates no student shall be denied the benefits of an education “solely by reason of a handicap.” Disabilities covered by law include, but are not limited to, learning disabilities, hearing, sight or mobility impairments, and other health related impairments. If you have a documented disability that may have some impact on your work in this class and for which you may require accommodations, please see me and Nancy Kroese, Director of Student Support Services and Disability Services Coordinator, (x5247) so that such accommodations may be arranged.

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 two or three midterm exams worth 100 points each and a gateway exam over the rules of antidifferentiation. Tentatively, the midterm exams will occur approximately on the dates (assuming three midterm exams) September 15 (exam 1), October 20 (exam 2) and November 21 (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 (225 on HW and 125 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 75 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 MUST warn me before the exam is missed, and plan on taking it early rather than late. Quizzes missed due to unexcused absences can NOT be made up. Plagiarism (which includes working together on an individual assignment, or editing someone else's work and turning it in with your name on it), 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 and possibly more serious punishment (failing the class, placing a letter in your file, and withdrawl from school are possibilities). It is OK to discuss your answers with other groups on group assignments, but the work you turn in must be your own, not a modified version of someone else's work.

Central College's Academic Honesty Policy
"Academic dishonesty is defined as behavior that is inappropriate for academic pursuits, including plagiarizing, cheating and other such dishonest activities. Some examples of misconduct are

presenting other's work as your own: copying homework or test answers from other students, unauthorized collaboration on class activities, using unauthorized materials in a test, having someone else write your paper or test,
improper computer usage: inappropriate or illegal use of computers, including such things as pirating of programs or files, unauthorized access to files or passwords, altering records, and/or damaging programs
plagiarism and/or misuse of ideas from other sources: deliberately using or adopting materials, ideas, or images produced by another person and taking credit for them, regardless of the format in which they originally appeared, including books, journals, web pages, video or audio recordings, and/or computer files, accessing or using privileged information without authorization, quoting, paraphrasing, and/or copying materials without footnoting or proper attribution, using privileged information without authorization.

Depending on the nature of the offense, the penalty for academic dishonesty ranges from permission to redo the project (if plagiarism was inadvertent), failing the project, to failing the course. A second offense is grounds for dismissal from Central College."

Class Materials

TI-83 tutorials

Introduction: A general introduction to several features of the TI-83 calculator.
Graphing: A look at several notions (menus, windows, tables, finding roots, ...) related to the graphing capabilities of the TI-83 calculator.
Functions: Entering and evaluating expressions giving formulas for functional relationships.
Integer Functions: A brief description of integer valued functions (round-up, round-down etc.) on the TI-83.

Activities

Basic Mathematica commands for calculating left and right-hand Riemann sums.
Investigating errors in LEFT[n], RIGHT[n], MID[n], TRAP[n], and SIMP[n] with Mathematica.

Exams

Exam 1 practice problems.
Exam 2 practice problems.

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/fall03/calc2frameset.html#schedule and on BlackBoard.

Week	Dates	Sections	Assignment
1	8-26 to 29	5.1,5.2	5.1#3,5,7,9,10,12 5.2#1,4,10,14,17,19,28,30 * use Mathematica or fnInt on your TI
2	9-2 to 5	5.2, 5.3	Mathematica activity for Riemann sums 5.3# 1,8,12,14,15,24,28
3	9-8 to 12	5.4, 6.1, 6.2	5.4 #1,5,6,9,12,14,15,16,17,18,19,20 due Wed 9-10 6.1 #2,6,7,8,10,12,17,22 due Mon 9-15 6.2 #6,9,13,16,23,28,33,37,49,55,67,77,78 due Mon 9-15
4	9-15 to 19	6.3, 6.4	6.3 # 3,5,7,11,14,18,23 due Fri 9-19 6.4 #2,5,8,10,15,18,20,22 Exam 1 practice problems. Exam 1, chp 5, 6.1 and 6.2 Wed 9-17, 7 to 9 PM
5	9-22 to 26	6.5, 7.1	6.5 # 1,2,5,6 due Mon 9-29 Section 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 due Monday 9-29
6	9-29 to 10-3	7.2, 7.3	Section 7.2 # 2,3,6,11,19,23,26,28,36,49,50 due Mon 10-6 Section 7.3 #1,7,8,12,17,20,25,28,30
7	10-6 to 10	7.4, 7.5	Section 7.4 #1,4,5,8,9,17,19,21,28,37,45 Section 7.5 #2,4,6,8,9,11,14,17,20
8	10-13 to 15	7.6	Section 7.6 # 2,3,5,7,8,9 Mathematica activity for approximate integration.
9	10-20 to 24	7.7	7.7# 2,3,5,7,10,13,14,23,24,34,39 due Mon 10-27 Exam 2 practice problems.
10	10-27 to 31	7.8	7.8# 1,6,8,13,15,18,25,26,28,31 due 11-5 Activity on comparisons for improper integrals
11	11-3 to 7	9.1	9.1#1,2,5,6,11,15,16,17,18,21,25
12	11-10 to 14	9.2, 9.3	9.2#2,5,6,7,11,14,15,16,23,24,30 9.3#2,3,5,6,9,10,12,13,14,16,19,20,22,23,25,26 due 11-19
13	11-17 to 21	9.4	9.4#2,3,4,7,9,11,13,14,16,19,23,26 due Mon 11-24
14	11-24 to 26	10.1	10.1#2,3,12,13,15,18,19,21,24,27,31 due Wed 12-3
15	12-1 to 5	10.2, 10.3	Section 10.2 #3,4,7,10,13,15,18,20,27,28 Section 10.3 #1,3,5,8 due Mon 12-8 exam 3
16	12-8 to 12	8.1, 8.2	Section 8.1 #1,2,4,8,10,12,27 due Tues 12-9 Section 8.2 #1,4,9,10,11,20,21,22 due Mon 12-15
17	Dec 18	Thrs 8 AM	Cumulative Final Exam