MCS-122 Calculus II

Spring 2001

Catalog description: A continuation of Calculus I. Topics to be covered include: techniques and applications of integration, polar coordinates, parametric equations, an introduction to and the uses of infinite series, including power series and Taylor series, the basics of ordinary differential equations.

Prerequisite: MCS 121 (Calculus I) or MCS 131 (Honors Calculus I)

This course meets the QUANT (quantitative reasoning) general education requirement. The goals of the course are to give the student (1) knowledge of the topics in the syllabus, (2) skill in carrying out the operations and algorithms of calculus, (3) practice in mathematical modeling and problem solving, (4) understanding and appreciation of the axiomatic and logical structure of calculus, and (5) appreciation of the role of calculus in the history of ideas and its impact on the natural and social sciences.

Instructor (Sections 1 & 3): John Holte

holte@gac.edu

http://www.gac.edu/~holte/

Class meetings

Section 1:	9:00-9:50	MTRF	Olin 318
Section 3:	11:30-12:20	MTRF	Olin 320

Regular attendance is expected. Class time will be used for a variety of activities--lectures, discussions, problem solving, and presentation of solutions. You should come to each class prepared for the day's work; read the text before (as well as after) the class, and do the "prep" problems.
If you have a disability that requires accommodation, please see me privately as soon as possible.

Textbook

Calculus: Alternate Version by Hughes-Hallett, Gleason, et al. ( John Wiley & Sons, New York, Second Edition, 2000). This text is written specifically to aid you in understanding the concepts of calculus, and our questions and problems will require you to invoke your understanding rather than to mimic template problems worked in the text, so you should read this text, both before and after each class

MCS 122 web page

http://www.gac.edu/~holte/courses/mcs122/spring01/

Calculator

You should have a graphing calculator to use in class and on exams. If you are buying a new one, the department recommends the TI-83 or TI-86. You may use another calculator (especially another TI, Casio, HP or Sharp) as long as you are able to enter a simple program into your calculator and you are comfortable with basic graphing features. A couple of calculators are on reserve in the library.

Syllabus

Dates	Chapter	Topic	Exam
Feb. 5-8	1-6	Review
Feb. 9-Mar. 1	7	Techniques of integration	Thur., Mar. 1
Mar. 2-20	8	Applications of integration	Tue., Mar. 20
Mar. 22-23 Apr. 2-23	9	Infinite series	Mon., Apr. 23
Apr. 24-May11	10	Differential equations
May 14-15		Wrap-up	Tue., May 22 8:00-10:00

Exams

We will have three evening examinations and a final examination. They are scheduled as follows:

Exam 1	Thursday, March 1	Integration
Exam 2	Tuesday, March 20	Applications
Exam 3	Monday, April 23	Infinite series
Final Exam	Tuesday, May 22 8:00-10:00 a.m.	Differential equations

Homework

Homework assignments will be collected about once a week, but you are advised to do the problems from each section right after the class meeting on that section. A selection of the problems turned in will be graded. You are allowed and encouraged to discuss homework and prep problems with others, but (see the College Academic Honesty policy) ultimately you must work the problems and write up the assignment entirely by yourself. As a general rule, you must justify your answers: Explain, or show your work. Occasional extra credit problems will be assigned. These will be especially challenging and should be done without consulting anyone else. Typically one extra credit problem will be worth as much as 1/2 of a week's regular homework.

Homework rules

Acknowledge your sources (people and texts).
In nontrivial problems, show how you get your answers.
Turn in neat, well-written solutions, not messy first drafts. Trim "fringes."
Do not copy collaborative solutions; write up solutions in your own words.
Turn in homework on time. Each class day late reduces the possible points by 25%.

Prep Problems, Participation, and Performance

Prep problems, when assigned, will be due each day at the beginning of class. These problems are designed to prepare you for the day's class. They will be graded 0, 1, or 2 primarily on effort.

The following factors contribute to participation and performance.

Positives	Negatives
Faithful attendance This counts a lot!	Missing classes, tardiness
Being prepared	Being unprepared
Paying attention in class	Not paying attention, sleeping, doing something else, talking while the prof is talking
Contributing to class discussions	Disruptive behavior
Asking relevant questions-- I am impressed when I am asked more often about points of mathematics than points of grading.
Answering questions in class, whether asked aloud or on a quiz	Not knowing the answers
Curiosity, appreciation, cheerfulness	Apathy, resentment, sullenness
Turning work in on time	Turning work in late
Neat, well-written work	Messy work
Working hard	Hardly working
Improvement during the term, overcoming setbacks	Going downhill
Attendance the day before and the day after a break	Skipping class the day before or the day after a break

Grading

Percent	Work	Notes
70%	Exams	We will have three evening examinations and a final examination. The best 3 will count 20% each; The lowest score will count 10%.
20%	Weekly homework	The lowest assignment score will be discarded.
10%	Participation & performance	Attendance, prep problems, class participation, etc.

Academic honesty

Gustavus Adolphus College Academic Bulletin

Gustavus Guide

Make-up policy

not

Homework rules