ROWAN UNIVERSITY
DEPARTMENT OF MATHEMATICS
MATH 01.140 – Accelerated Calculus I
Fall 2011
Professor: Dr. Paul J. Laumakis
Office: Robinson Hall Room 229G
Phone: x 3872
E-mail: laumakis@rowan.edu
Office Hours: TR 10:00 AM – 11:30 AM and by appointment
Course Description: This course involves the study of change. The course begins with
the notions of limit and continuity. The concept of the derivative and its applications,
along with the 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
of 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: Rogawski, Jon, Calculus: Early Transcendentals, 2nd Edition, W.H. Freeman
and Co., 2012 (with accompanying Mathematica Manual).
Academic Honesty: All forms of academic dishonesty will not be tolerated. First-time
offenders will be reported to the Office of the Provost and sanctions will be imposed in
accordance with University Policy on Academic Integrity Violations.
Miscellaneous: In order to avoid disruption during class, all computers, cell phones,
beepers, and the like are to be turned off before entering the classroom and are not to be
used during a class, quiz, or final examination. Every offense of this policy will result in
immediate removal from class.
Grading Policy: Final grades will be determined as follows:
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 two quiz grades 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 quiz grades have been dropped and not counting the participation
grade) 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
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Day/Date Section Topic/Activity
R/1 Sep
Course Overview & Pre-Test
T/6 Sep
2.1
Limits, Rates of Change, and Tangent Lines
R/8 Sep
2.2
Limits: A Numerical and Graphical Approach
M/12 Sep 2.3
Basic Limit Laws
T/13 Sep
Quiz 1; Mathematica Demo
R/15 Sep 2.4
Limits and Continuity
M/19 Sep 2.5
Evaluating Limits Algebraically
T/20 Sep 2.6&2.8 Squeeze and Intermediate Value Theorems
R/22 Sep 2.7
Quiz 2; Limits at Infinity
M/26 Sep 3.1
Definition of the Derivative
T/27 Sep
3.2
The Derivative as a Function
R/29 Sep
3.3
Product and Quotient Rules
M/3 Oct
3.4
Rates of Change
T/4 Oct
3.5
Higher Derivatives
R/6 Oct
3.6
Quiz 3; Trigonometric Derivatives
M/10 Oct 3.7
The Chain Rule
T/11 Oct 3.8
Derivatives of Inverse Functions
R/13 Oct 3.9
Derivatives of Exponential and Log Functions
M/17 Oct 3.10 Implicit Differentiation
T/18 Oct 3.11 Related Rates
R/20 Oct
No Class; Mathematica Assignment 1 due 24 Oct
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
M/24 Oct
T/25 Oct
R/27 Oct
M/31 Oct
T/1 Nov
R/3 Nov
M/7 Nov
T/8 Nov
R/10 Nov
M/14 Nov
T/15 Nov
R/17 Nov
M/21 Nov
T/22 Nov
R/24 Nov
M/28 Nov
T/29 Nov
R/1 Dec
M/5 Dec
T/6 Dec
R/8 Dec
M/12 Dec
T/13 Dec
4.2
4.4
4.3
4.5
4.7
4.8
4.9
5.1
5.2
5.3
5.4
5.6
6.1
6.3
8.1
7.1
7.5
7.6
Quiz 4; Extreme Values
The Shape of Graphs
Mean Value Theorem
L’Hopital’s Rule
No Class (Election Day)
Applied Optimization
Newton’s Method
Quiz 5; Antiderivatives
Approximating and Computing Area
The Definite Integral
Fundamental Theorem of Calculus, Part I
Fundamental Theorem of Calculus, Part II
Substitution Method
Quiz 6; Area Between Two Curves
No Class (Thanksgiving Day)
Volumes of Revolution
Arc Length & Surface Area
Quiz 7; Integration by Parts
The Method of Partial Fractions
Improper Integrals
No Class; Mathematica Assignment 2 due 12 Dec
Quiz 8
Review for Final Exam
Mathematica Assignments: All of the problems for the following assignments are found
in the Mathematica Manual for Calculus, the tutorial handbook for students, and are due
at the beginning of class on the date indicated.
Assignment 1 (due 24 Oct): Exercise Set
2.2
2.3
3.1
3.3
3.4
4.1
Assignment 2 (due 12 Dec): Exercise Set
4.2
4.3
4.4
5.1
5.2
5.3
6.1
6.3
7.3
8.1
Problems
3, 9, 10, 11
2
3, 4
2
5
1
Problems
3
5
3
3
1(c)
3
1
1(b)
11
4