MATH 121 - Calculus I - Spring 2008
MTWF 11:00–11:50 - SCIC 124
Jim Brumbaugh-Smith
Campus Mail: Box 111
Phone: 982-5011
E-mail: jpbrumbaugh-smith@manchester.edu
Web: users.manchester.edu/facstaff/jpbrumbaugh-smith/index.htm
Office Hours in Science 120:
To be determined.
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)
Homework Assignments (10 points each)
3 Tests (100 points each)
Cumulative Final Exam
Course Total
=
=
=
=
=
100
100
300
200
700
(14%)
(14%)
(43%)
(29%)
(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
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
review of functions, shifting, composing, graphing calculators
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
11
4/14- 4/18
4.5, 5.1
definite integrals, Fundamental Theorem of Calculus
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