MCS 122: Calculus II

Spring 2002

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

Note:

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

Class meetings

Section 1:	9:00-9:50	MTRF	Olin 320
Section 3:	12:30-1:20	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.
If you have a disability that requires accommodation, please see me privately as soon as possible.

Textbook

Calculus by Hughes-Hallett, Gleason, et al. ( John Wiley & Sons, New York, Third Edition, 2002). 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/spring02/

Bookmark this page. You will find problem assignments and course updates posted here.

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. 11-14	1-6	Review
Feb. 15-Mar. 7	7	Techniques of integration	Thur., Mar. 7
Mar. 8-26	8	Applications of integration	Tue., Mar. 26
Mar. 28 Apr. 8-26	9 10	Infinite series Approximating functions	Fri., Apr. 26
Apr. 29-May 17	11	Differential equations
May 20-21		Wrap-up & review	Mon., May 27 8:00-10:00

Exams

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

Exam 1	Thursday, March 7	Integration
Exam 2	Tuesday, March 26	Applications
Exam 3	Friday, April 26	Infinite series Function approximation
Final Exam	Monday, May 27 8:00-10:00 a.m.	Differential equations & comprehensive

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 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." Staple pages.
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%.
Do extra credit problems entirely on your own.

Quizzes

Occasional quizzes--some announced and some unannounced--will be given throughout the semester to reward those students (ideally all of them) who are keeping up with the course on a daily basis.

Grading

Percent	Work	Notes
20%	Weekly homework	The lowest assignment score will be discarded.
50%	Unit exams	Three exams of equal weight
20%	Final exam	Last unit plus comprehensive coverage
10%	Quizzes

Participation and performance factors may modify your grade.

Positives Negatives
Faithful attendance
This counts a lot! Missing classes,
tardiness
Being prepared Being unprepared
Paying attention in class
Volunteering to work problems
on the board 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

Positives	Negatives
Faithful attendance This counts a lot!	Missing classes, tardiness
Being prepared	Being unprepared
Paying attention in class Volunteering to work problems on the board	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

Academic honesty

Gustavus Adolphus College Academic Bulletin

Gustavus Guide

A first offense will result in a score of zero on the matter in question. A second offense will result in a failing mark in the course and will be reported to the academic administration.

Make-up policy

not

Homework rules

Extra help

Please feel free to see me during office hours and at other times when my door is open.
Student tutors will be available 6:30-9:30 p.m. in Olin 319 Sunday through Thursday evening to help you to learn calculus. They will not work your homework problems for you, but they will
If you have a disability that requires accommodation, please see me privately as soon as possible.