CALCULUS I
Math 1351, Fall 2000

Instructor: Dr. Rachel Hall
Office: 229 Barbelin
Office Hours: M 1-2, T 2-3, W 2-3, and by appointment
Telephone: (610) 660-3096 (Office)
E-mail: rhall@sju.edu
URL: http://www.sju.edu/~rhall/CalcI
Course Assistants: Melissa Hudak and Kathleen Ryan

Course Description: Calculus is the crowning achievement of 17th century mathematics. It is the branch of mathematics used to describe motion, and it has a multitude of applications in mathematics, the physical sciences, engineering, and the social and biological sciences. In this semester, we will concentrate on differential calculus. Roughly speaking, if you know the position of a particle, differential calculus allows you to find its velocity.

Some of you will have taken Calculus in high school. You will note that there are several differences between this course and your high school courses. You will be expected to take responsibility for keeping up with the class. If you are having trouble, you should contact me as soon as possible, rather than assuming that I will contact you. In addition, there will be a greater emphasis on understanding and communicating ``what is really going on'' than is typical in a high school class.

Prerequisite: Math 1201 or placement.

Text: James Stewart, Calculus: Early Transcendentals, fourth edition, Brooks/Cole, 1999. You should read each section before the appropriate lecture.

Homework: Homework assignments will be given for almost every class, and will be collected about once a week. Some assignments will require the use of Maple; in addition, you may use Maple or a graphing calculator on all assignments to check your work. Although you are encouraged to consult with other students and seek help from me, homework should ultimately represent your own work. Answers unsupported by work will not receive credit. Not all problems will be graded.

Keeping up with the homework assignments is essential to learning Calculus. No one is able to learn mathematics without working problems. You should expect to spend 10-15 hours a week working homework problems, reading the text, and going over your class notes. I urge you to work together in groups.

Specific Homework Policies:  (as of 10/18/00)

• Homework assignments are due in class on the day assigned.  Failure to turn in the assignment by noon will result in a one-point reduction.  One point will be subtracted for every day it is late.
• Homework should be neatly handwritten or typed, on one side of the page only.   Skip a line between each problem.
• Copy the problem in its original form from the book;  this includes word problems.
• Provide the solution to the problem.  If you are having difficulty with a problem, make sure you get help before the due date.  If you still can't complete the problem, do as much as you can, as you may receive partial credit.
• Staple your pages together and cut off any messy edges.  Failure to do so will result in a one-point reduction.

Computer Labs: We will make frequent use of Maple, a computer algebra system which is available for you to use outside of class. The class will meet in Barbelin 31 for computer labs on the following Mondays: September 11, October 2, October 30, and November 20. Lab problems will be incorporated into your homework assignments.

Quizzes: Short quizzes will be given once a week. Quizzes will generally cover material on homework assignments.

Tests: There will be two 50-minute tests, given on Wednesday, October 4th, and Wednesday, November 8th. The final exam will be given during the week of December 12-18. Makeup tests will only be given to students with a valid, verifiable reason for missing a test, and will only be given to students who contact me within 48 hours of missing a test. The tests and final will be cumulative.

Grades: Grades will be weighted as follows:

36.4%	two test grades
18.2%	10 homeworks and labs
18.2%	10 quizzes
27.2%	final exam

The grading scale is 94-100% A, 90-93% A-, 87-89% B+, 84-86% B, 80-83% B-, 77-79% C+, 70-76% C, 60-69% D, and below 60% F. Grades may be curved at the end of the semester.

Academic Honesty: Dishonesty includes cheating on a test, falsifying data, misrepresenting the work of others as your own (plagiarism), and helping another student cheat or plagiarize. Academic dishonesty will result in a grade of zero on that particular assignment; serious infractions of the Academic Honesty policy will result in failure of the course. For complete information about the University's policy on Academic Honesty, consult the Student Handbook 2000-2001.

Attendance: Class attendance is mandatory. Although I do not have a rigid cut policy, I will take attendance most days, and anyone who has missed lots of classes and is doing poorly in the course should not expect much sympathy from me. If you do miss a class, it is your responsibility to make up the material and make sure your homework is turned in on time.

Web Page: A Web page for the class will be maintained at http://www.sju.edu/~rhall/CalcI. Here you may see a list of past and current homework assignments, get help on your homework, get help with using Maple, see a copy of this syllabus, and explore links to other sites related to this class.

Outline of Topics:
  

8/28	1	Chapter 1. Functions and Models
	1.5	Exponential Functions
	1.6	Inverse Functions and Logarithms
9/5	2	Chapter 2. Limits and Derivatives
	2.1	The Tangent and Velocity Problems
	2.2	The Limit of a Function
	2.3	Calculating Limits Using the Limit Laws
9/11		Lab I-- class meets in Barbelin 31
9/11	2.4	The Precise Definition of a Limit
	2.5	Continuity
9/18	2.6	Limits at Infinity; Horizontal Asymptotes
	2.7	Tangents, Velocities, and Other Rates of Change
	2.8	Derivatives
9/25	2.9	The Derivative as a Function
	3	Chapter 3. Differentiation Rules
	3.1	Derivatives of Polynomials and Exponential Functions
	3.2	The Product and Quotient Rules
	3.3	Rates of Change in the Natural and Social Sciences
10/2		Lab II-- class meets in Barbelin 31
10/4		Test I
10/6	3.4	Derivatives of Trigonometric Functions
10/9	3.5	The Chain Rule
	3.6	Implicit Differentiation
10/18	3.7	Higher Derivatives
	3.8	Derivatives of Logarithmic Functions
	3.10	Related Rates
10/23	3.11	Linear Approximations and Differentials
	4	Chapter 4. Applications of Differentiation
	4.1	Maximum and Minimum Values
	4.2	Mean Value Theorem
10/30		Lab III-- class meets in Barbelin 31
10/30	4.3	How Derivatives Affect the Shape of a Graph
	4.4	Indeterminate Forms and L'Hospital's Rule
	4.5	Summary of Curve Sketching
11/6	4.6	Graphing with Calculus and Calculators
11/8		Test II
	4.7	Optimization Problems
11/13	4.9	Newton's Method
	4.10	Antiderivatives
	5	Chapter 5. Integrals
	5.1	Areas and Distances
11/20		Lab IV-- class meets in Barbelin 31
11/20	5.2	The Definite Integral
11/27	5.3	The Fundamental Theorem of Calculus
	5.4	Indefinite Integrals and the Total Change Theorem
12/4	5.5	The Substitution Rule
	5.6	The Logarithm Defined as an Integral

This schedule is subject to change.
 

2000-08-28