Calculus I
Fall 2006

Professor: Dr. Paul J. Laumakis
Office: Robinson Hall Room 229G

Phone: x 3872

E-mail: laumakis@rowan.edu

Office Hours: M, T, Th 3:15 – 4:15 p.m. and by appointment

Course Description: This course involves the study of how things change. The course begins with a brief review of functions, followed by the notion of limit and continuity. The concept of the derivative and its applications, along with the definite integral and some of its applications, comprise the remainder of the course. Use of the TI-89 graphing calculator is required in this course.

Course Objectives: In addition to providing the student with the working mathematical knowledge that is required to support continued study in Calculus, the primary objective for this course will be the development of independent learning skills. The growth of critical thinking and mathematical problem solving abilities will be accomplished primarily through a student-centered learning process. This process will necessarily entail study and thought outside the classroom, in addition to independent work during class. Application-oriented problems derived from a variety of disciplines will serve to allow the student to acquire expertise in the mathematical modeling process and engage the student in the prudent use of available technology. Through this process, students will develop the crucial ability to learn on their own.

Attendance: In order to effectively accomplish the course objectives, students are expected to attend every class and be on time. If you are absent from class for any reason, it is your responsibility to find out what you missed, including any announcements. You may find out what you missed from your classmates or by contacting me directly. Excessive absence or lateness may result in a lower final grade for the course.

Textbook: Stewart, James, Calculus: Concepts and Context, 3rd Edition, Brooks/Cole,
2005 (with accompanying Mathematica handbook).

Academic Honesty: All forms of academic dishonesty will not be tolerated. First-time offenders will be issued an immediate grade of F for the course and a permanent record of the cheating offense will be included in your academic transcript.

Miscellaneous: In order to avoid disruption during class, all cell phones, beepers, and the like are to be turned off before entering the classroom.

Grading Policy: Final grades will be determined as follows:

Weekly Quizzes 600 pts.
Mathematica Work 200 pts.
Final Examination 200 pts.
Participation 100 pts.
Total 1100 pts.

Notes: (1) All students must be present for all graded events. No make-ups will be given
and a grade of zero will be assigned for any missed graded event.
(2) The lowest weekly quiz grade for each student will be dropped at the end of
the semester.
(3) Any student who accumulates 750 points before the final examination (after
the lowest weekly quiz grade has been dropped and not counting participation)
and continues attending class until the end of the semester will be exempted
from the final examination and will receive an A for the course.
(4) The final letter grade assigned to each student will be determined based on the
performance of the student in each of the above listed categories relative to the
other students in the course.

Class Day/Date Section Topic/Activity
0 T/5 Sep Course Overview; Course Pretest
1 Th/7 Sep 1.1 Functions
2 M/11 Sep 1.2 Mathematical Models
3 T/12 Sep 1.3 New Functions from Old Functions
4 Th/14 Sep 1.5 Quiz 1; Exponential Functions
5 M/18 Sep 1.6 Inverse Functions and Logarithms
6 T/19 Sep 2.1 The Tangent and Velocity Problems
7 Th/21 Sep 2.2 Quiz 2; The Limit of a Function
8 M/25 Sep No Class; Mathematica Assignment 1 due 26 Sep
9 T/26 Sep 2.3 Calculating Limits
10 Th/28 Sep 2.4 Quiz 3; Continuity
11 M/2Oct 2.5 Limits Involving Infinity
12 T/3 Oct 2.6 Tangents, Velocities, and Rates of Change
13 Th/5 Oct 2.7 Quiz 4; The Derivative at a Point
14 M/9 Oct 2.8 The Derivative Function
15 T/10 Oct 2.9 Quiz 5; Functions and their Derivatives
16 Th/12 Oct No Class; Mathematica Assignment 2 due 16 Oct
17 M/16 Oct 3.1 Derivatives of Polynomials & Exponentials
18 T/17 Oct 3.2 The Product and Quotient Rules
19 Th/19 Oct 3.3 Quiz 6; Applications of Rates of Change
20 M/23 Oct 3.4 Derivatives of Trigonometric Functions
21 T/24 Oct 3.5 The Chain Rule
22 Th/26 Oct 3.6 Quiz 7; Implicit Differentiation
23 M/30 Oct 3.7 Derivatives of Logarithmic Functions
24 T/31 Oct 4.1 Related Rates
25 Th/2 Nov 4.2 Quiz 8; Maximum and Minimum Values
26 M/6 Nov 4.3 Derivatives and Shapes of Curves
27 T/7 Nov 4.4 Analysis of Graphs
28 Th/9 Nov 4.6 Quiz 9; Optimization Problems
29 M/13 Nov No Class; Mathematica Assignment 3 due 14 Nov
30 T/14 Nov 4.6 Optimization Problems
31 Th/16 Nov 4.8 Quiz 10; Newton’s Method
32 M/20 Nov 4.9 Antiderivatives
33 T/21 Nov 5.1 Areas and Distances
34 M/27 Nov 5.2 The Definite Integral
35 T/28 Nov 5.3 Quiz 11; Evaluating Definite Integrals
36 Th/30 Nov 5.4 The Fundamental Theorem of Calculus
37 M/4 Dec 5.5 Evaluating Definite Integrals by Substitution
38 T/5 Dec 5.8 Quiz 12; Integration Tables
39 Th/7 Dec 6.1 Area Between Curves
40 M/11 Dec No Class; Mathematica Assignment 4 due 12 Dec
41 T/12 Dec 6.2 Quiz 13; Volumes
42 Th/14 Dec Review