MATH 121 - Calculus I - Spring 2008

MTWF 11:00–11:50 - SCIC 124

Jim Brumbaugh-Smith Office Hours in Science 120:

Campus Mail: Box 111 To be determined.

Phone: 982-5011

E-mail:

Web: users.manchester.edu/facstaff/jpbrumbaugh-smith/index.htm

Description: In chapter 1, we start with a review of precalculus material on functions and then study the foundation of calculus, limits of functions. The two pillars of calculus are derivatives (chapter 2) and definite integrals (chapter 4). Derivatives tell us how quickly a quantity is changing relative to another quantity (like time) and integrals provide a way to accumulate a total quantity over some continuous range of interest (like distance). Connecting these two pillars is the Fundamental Theorem of Calculus. We will discuss several applications of derivatives in chapters 2 and 3 but will leave most of the applications of integrals for Calculus II. We will end with the calculus of logarithmic and exponential functions (chapter 5).

Related Curriculum: The prerequisite for this course is MATH 120 (Precalculus). This course is required for mathematics, math education, computer science, engineering science, physics and chemistry majors. It is a prerequisite for MATH 122 (Calculus II) and 251 (Linear Algebra I), and PHYS 210 (General Physics I).

Resources: The required text is Essential Calculus, by James Stewart, Thomson, 2007, ISBN 0-495-01442-7. The Student Solutions Manual for Stewart’s Essential Calculus, Stewart ISBN: 0-495-01444-3 is available through the Campus Store as is How to Ace Calculus: The Streetwise Guide, by Adams, Hass, and Thompson, W.H. Freeman, 1998. A graphing calculator is also required. The TI-83, 84 or 86 is recommended although other brands can be used. The TI-89, TI-92 and other calculators that do symbolic computation are not allowed on quizzes and exams. The Maple mathematical software program will sometimes be used for demonstrations. This very powerful program is available in all campus computer labs.

Overview: We will be covering Chapters 1–4 and Sections 5.1–5.5 as indicated in the course schedule. Homework will be assigned each day and some of the problems will be discussed the following day. Many days you will be asked to work problems on the board, either individually or in groups — come prepared to participate! Some homework problems will be assigned to turn in each Friday for grading. A short quiz will be given each Tuesday unless otherwise announced — quiz problems will be very similar to the homework problems. The lowest homework and lowest quiz grade will be dropped. Except for health or emergency situations quizzes will not be made up and homework will not be accepted late.

Most of the learning in this type of course takes place in the quiet of your room or in the library. That is, through reading and rereading the material in the text and giving serious time and thought to the problems assigned. Once you have done this, discussing the material informally with your cohorts and then in the classroom will become beneficial.

Evaluation: Weekly Quizzes (10 points each) = 100 (14%)

Homework Assignments (10 points each) = 100 (14%)

3 Tests (100 points each) = 300 (43%)

Cumulative Final Exam = 200 (29%)

Course Total = 700 (100%)

95=A 90=A– 87=B+ 83=B 80=B– 77=C+ 73=C 70=C– 67=D+ 63=D 60=D–

Attendance: To maximize your learning and your grade it is important to participate in each class session. If you are unable to attend class for any reason please let me know in advance. Messages can be left twenty-four hours a day at 982-5011 or via e-mail. Students are responsible for material covered and assignments made when absent. Tests will be made up by advance arrangement only.

Approximate Schedule:

Week Dates Sections and Topics

1 1/30 - 2/1 1.1, 1.2 review of functions, shifting, composing, graphing calculators

2 2/4 - 2/8 1.3, 1.4, 1.5 limits, limit rules, continuity

3 2/11 - 2/15 1.6, 2.1, 2.2 infinite limits and asymptotes, derivatives

4 2/18 - 2/22 2.3, 2.4 derivative rules

Test #1 T 2/19

5 2/25 – 2/29 2.5, 2.6, 2.7 chain rule, implicit derivatives, related rates

6 3/3 - 3/7 2.8, 3.1, 3.2 linearization and differentials, Extreme & Mean Value Theorems

7 3/10 - 3/14 3.3, 3.4 graphing, concavity

Test #2 F 3/14

3/17 – 3/21 Spring Break

8 3/24 - 3/28 3.5, 3.6 max-min problems, Newton’s method, review

9 3/31 - 4/4 3.7, 4.1 antiderivatives, the area problem

10 4/7 - 4/11 4.2, 4.3, 4.4 definite integrals, Fundamental Theorem of Calculus

11 4/14- 4/18 4.5, 5.1 integral rules, substitution,

Test #3, T 4/15

12 4/21 - 4/25 5.2, 5.3 natural logarithms and exponentials, review

13 4/28 - 5/2 5.4, 5.5 logarithms, exponential growth and decay, differential equations

14 5/5 - 5/19 catch-up, review

Week of 5/12 Cumulative Final Exam