Math 120 Calculus I

Department of Mathematics and Computer Science, Clark University, Fall 2006

Homework Problem List 
Tutoring: Sun-Thurs evening, TBA

Tutoring by experienced upperclassmen will be provided by the department as soon as it can be arranged.

Sections

number   Section Instructor   Day     Time         Place
20597    1       Kennison   M W F     0900a-0950a     BP220
20598    2       Kennison   M W F     1100a-1150a     JC102
21172    3       Servatius    T R     0900a-1015a     BP220
23864    4       Servatius    T R     1025a-1140a     BP316

General description of the course

This is the first course in a three-semester calculus sequence designed for students majoring in a field that requires the tools of calculus. Besides the computational aspects of calculus, we will develop the concepts of calculus with some rigor.

The subject in this first course, Math 120, is differential calculus. Topics include functions, limits, continuity, differentiation of algebraic and trigonometric functions, mean value theorem, and applications of derivatives.

Prerequisites

In order to register for Math 120, you need to either
  1. pass the math placement test, available on-line, anytime,
  2. have passed the Advanced Placement test in Calculus, 4 or 5 required, or
  3. pass Math 119, Precalculus, or Math 114, Discrete Mathematics, with an appropriate grade
For more information, see Calculus Background.

Text

Our text for this course is Calculus, One and Several Variables, by Salas, Hille, Etgen, 9th edition. We will discuss the first four chapters in Math 120. This same book will also be used in Math 121 and Math 122. There is also a two semester version of the book which is a lighter and less expensive.

Tests and final exam

There will be three tests during the semester and a final examination during finals week in December. The final is a comprehensive exam, given during the final exam period. 
Exam 1.      Monday,   September 25, 6:00-9:00 p.m.  J218, Johnson Auditorium, Sackler Science Center
Exam 2.      Monday,   October   30, 6:00-9:00 p.m.  J218, Johnson Auditorium, Sackler Science Center
Exam 3.      Monday,   December   4, 6:00-9:00 p.m.  J218, Johnson Auditorium, Sackler Science Center
Final Exam   Monday,   December  18, 4:00-6:00 p.m.  Jeff 320 (Probable time and place)

The three tests will each be given in a three-hour block in the evening. The tests are common for all students taking Math 120 and will be based on material discussed in the lecture or presented in the text prior to the date of the exam. Although each exam is designed as a one-hour test, you may take up to three hours to complete it. You may arrive anytime between 6:00 and 7:00 and finish before 9:00. The exams will be held in Johnson Auditorium, Sackler Science Center. They will be closed book, closed notebook. The use of calculators will not be allowed. In the event that you have a legitimate, documented excuse for missing a test, you must contact your instructor prior to the scheduled test time. A makeup may be rescheduled at the instructor's convenience.

Homework and quizzes

Practice problems will be assigned daily from the text to help you master the concepts discussed in class. Although the problems will not be collected regularly, it is expected that you will keep up to date on the problems. Periodically, a few specific problems may be collected, and graded. Short quizzes may be given periodically throughout the semester without notice.

Course grade

The course grade is based on the three midterm exams, the homework and quizzes, and the final exam. The precise weightings for these components is as follows: 20% for each midterm exam, 30% for the final exam, and 10% for homework and quizzes.

Some links you might find helpful

Practice Problems

Review:
1.2     p.10   25, 27, 29, 31, 33, 35, 36, 37
1.3     p.18   5, 7, 9, 11, 13, 15, 21, 23, 27, 31
1.4     p.27   3, 5, 9, 11, 17, 20, 21, 23, 31, 33, 37, 39
1.5     p.34   3, 7, 11, 17, 23, 25, 27, 37, 45, 47
1.6     p.45   13, 21, 23, 24, 25, 26, 31, 32, 33, 34
1.7     p.52   3, 5, 11, 19, 21, 25, 27, 45, 47, 48#24-29, 37-40

New material: Chapter 2. Limits and Continuity
2.1     p.69   1, 3, 7, 11, 13, 15, 19, 21, 53
2.2     p.81   21, 22, 35, 36, 37, 38
2.3     p.90   1, 5, 7, 9, 13, 16, 19, 31, 37, 41, 43
2.4     p.100   1, 3, 5, 11, 15, 21, 23, 31, 47
2.5     p.109   3, 7, 13, 15, 17, 21, 25, 27, 34
2.6     p.115   3, 7, 9, 12, 19, 23, 24, 25, 26, 35, 39

Chapter 3. The Derivative
3.1     p.129   1, 5, 7, 11, 15, 17, 21, 27, 35, 39, 51
3.2     p.141   7, 9, 13, 17, 21, 25, 27, 31, 33, 35, 41, 43
3.3     p.147   1, 3, 5, 7, 9, 13, 17, 23, 25, 27, 31, 39, 41, 49
3.4     p.157   3, 4, 7, 9, 11, 12, 19, 23, 27, 28, 29, 30, 41, 45, 53
3.5     p.165   7, 9, 11, 13, 15, 17, 19, 21, 25, 31, 35, 47
3.6     p.172   5, 9, 13, 15, 17, 19, 21, 23, 33, 35, 43, 49
3.7     p.179   3, 9, 19, 21, 25, 29, 35, 43, 47
3.8     p.185   3, 7, 11, 15, 19, 21, 25, 31

Chapter 4. Applications
4.1     p.202   1, 3, 5, 13, 17, 21, 23, 36
4.2     p.210   1, 7, 11, 15, 19, 23, 25, 35, 40, 41, 55
4.3     p.218   1, 3, 7, 11, 23, 26, 31, 41
4.4     p.226   , 3, 5, 7, 11, 15, 22, 23, 27, 31, 35, 41
4.5     p.234   5, 7, 10, 12, 17, 23, 28, 33, 41, 43
4.6     p.241   1, 2, 3, 5, 7, 9, 11, 13, 19, 25, 27, 31, 33
4.7     p.249   1, 2, 3, 5, 7, 9, 13, 35, 37, 43, 45, 47
4.8     p.258   1, 3, 9, 11, 13, 21, 23, 27, 29, 31, 45, 53, 55