Calculus II

Department of Mathematics
GETTYSBURG COLLEGE
MATH 112, Calculus II, Fall 2004
Section A

Instructor:
B. Doytchinov
Office: Glatfelter 214
phone: x 6625
e-mail:bdoytchi@gettysburg.edu Office hours:
Mo, We, Fr 2:00-4:00pm
Tu 11:15am-1:00pm

also, by appointment

TEXT

James Stewart, Calulus: Concepts and Contexts, Second Edition, Brooks/Cole, ISBN 0-534-37862-5.

GRAPHING CALCULATOR

A graphing calculator is required. You may use whatever graphing calculator you currently own. If you are planning to buy one, we recommend the TI-83 Plus.

COURSE CONTENTS

The course consists of four main parts:

Integrals. Areas and distances. The Definite integral. The Fundamental Theorem of Calculus. Integration by substitution, integration by parts. Approximate integration. Improper integrals.
Chapter 5.
Applications of Integration. Areas, volumes, arclength. Average value of a function. Applications to Economics and Biology.
Chapter 6.
Differential Equations. Differential equations, direction fields, Euler's method. Separable equations. Exponential growth and decay. Population dynamics.
Chapter 7.
Infinite Sequences and series. Sequence, series, convergence tests. Power series, Taylor series.
Chapter 8.

COURSE GOALS

By the end of the semester you should be able to do the following.

Develop an understanding of major concepts and of multiple frameworks for their analysis: analytical, graphical, numerical, and verbal.
Learn to combine alternative methodologies and perspectives for the investigation of mathematical problems. Accurately and efficiently perform the computations of Calculus, both by hand and with a graphing calculator.
Be proficient using the ideas, tools, and techniques of Calculus to solve problems, both novel and familiar.
Develop effective communication skills, and learn to express your mathematical work in a clear, precise, and elegant manner. Apply Calculus as a language with which to model the world.

LECTURES

There are three lectures per week, conducted in Glatfelter 301, on MWF, 12:00--12:50pm.

You are supposed to attend all lectures. If you miss a class, it is your responsibility to make a copy of the classnotes from another student and make sure you learn what you have missed.

ATTENDANCE AND CLASS PARTICIPATION

Attendance in Math 112 is required.

You are expected to actively participate in class by asking questions, making comments, working on the assignments, and sharing your solutions with others. As part of your class participation grade, you are required to attend one math department colloquium during the semester. Information regarding these colloquia is on the bulletin board outside Glatfelter 212.

HOMEWORK

Homework is assigned for each section of the book covered. Homework is a required component of the course. Working the exercises will help you learn, and give you some perspective on your progress. You are encouraged to discuss homework problems with each other, however you must individually write your own solution (see the Honor Code section below). No late or sloppy homework will be accepted.

TESTS, EXAMS, QUIZZES, GRADES

You can always check your grades via the BlackBoard site.

There will be four in-class tests, on September 22, October 18, November 5, and December 6. There will be a three-hour Final Exam on Sunday, December 12, 1:30--4:30pm.

There will be regular, short, in-class quizzes based on recent homework. No make-up quizzes will be given for any reason. Your lowest three quiz scores will be dropped.

Grades will be determined according to the following table.

Attendance and Participation	10%
Homework and Qizzes	15%
Lowest Test Score	5%
Remaining Test Scores	15% each
Final Exam	25%

The "lowest" and "remaining" exam scores in the table above are understood to be from the four in-semester exams, not the final exam.

HONOR CODE

As you already know, Gettysburg College operates under an Honor Code.

On each piece of work you submit for grading, you should write out the Honor Pledge by hand and sign it. The Honor Pledge is as follows: I have neither given nor received any unauthorized aid, nor have I witnessed a violation of the Honor Code.

Every student is responsible for abiding by the provisions of the Honor Code, beginning with the first day of classes. Specific details about the ways the honor code applies to this course can be found here.

MATH 112, Calculus I, Fall 2004