21-120 Differential and Integral Calculus
Summer 2005

Instructor: Dr. Timothy Flaherty
Office: Wean Hall 6101
Phone: 412-268-2556
e-mail: tim@andrew.cmu.edu
Course Web Page: http://www.math.cmu.edu/$\sim$tim/ap05/ap05.html
Lecture: MTWHF 10:30 A.M.-11:50 A.M. , WEH 6423

Introduction: Differential Calculus is a study of functions using the derivative, which measures the rate a function is changing. This will supply us with slopes of tangent lines to graphs of functions. In order to define the derivative, we first must study limits of functions. After completing our study of limits, we will learn how to differentiate a variety of functions using the standard methods (product rule, quotient rule, chain rule, implicit differentiation). Then we encounter our applications of the derivative - curve sketching and optimization. Integration is introduced as a methof of measuring a function, initially by determining the area beneath the grapg of a positive function. The Fundamental Thereom of Calculus which unites the derivative and integral is presented. Finally, applications and techniques of integration are encountered.

Lectures: Lecture will be from 10:30 to 11:50 A.M., Monday through Friday. Tardiness and absence from class is strongly discouraged - and attendance will be recorded every day. Students are encouraged to ask questions and participate in class as occasionally you may need further explanation, need an example, or wish to ask a question or make a comment during lecture. I will also be asking questions of you during lecture. Also, you are responsible for all of the material and announcements presented during lecture. I often write exams questions identical or very similar to problems given in class.

Homework: Homework problems are posted on the course web page and will be announced in class. You are expected to do every problem assigned. In addition, you will be assigned homework which will be typically collected the next day at the beginning of class. There will be also be homework problems which are to be done online, as described in the handout. Late homework will not be accepted. You are encouraged to work together and seek whatever help you need in solving homework problems. Your goal should be a complete and thorough understanding of the material as demonstrated by your ability to handle the homework problems with ease. To accomplish this, you may expect to spend a considerable amount of time working many problems, and seeking help for those problems which you can not do. Usually it will be necessary to work many problems that are not assigned to gain a thorough understanding.

Lesson Schedule: A lesson schedule plan which will include the section to be covered on each lecture date will be posted on the course web page. This schedule may be modified at any time, but we will try to follow it closely. You are encouraged to read the text material in advance to prepare for each lecture.

Quizzes: There will be frequent quizzes. You will have a quiz during most lectures, usually given near the start of lecture. Missing the quiz due to lateness or absence will result in a zero for that quiz.

Exams: There will be three exams, Friday July 8th, Thursday July 21st, and Thursday August 4th (Final Exam).

Make-up Exams: Will not be provided unless the student documents an illness or emergency. You must notify the instructor as soon as possible for a make-up to be considered. You may notify the instructor in person, by e-mail, by phone, or by leaving a message at the Mathematics Department office at 412-268-2545.

Academic Honesty: We will apply the university guidelines as stated in the student handbook to ensure academic honesty.

Grade Calculation: Quizzes: 10%. Written Homework: 15%. Online Homework: 15%. Low Exam Score: 15%. High Exam Score: 20%. Final Exam Score: 25%.

Course Grades: A: 90-100%, B: 80-89%, C: 70-79%, D: 60-69%, F: 0-59% .