Mike O’Leary Spring 2002
Office:
301C Stephens Hall MW: 2:00-3:15, Stephens Hall 201
Office Phone:
410-830-3896 Tu: 2:00-2:50, Stephens Hall 206
Email:
moleary@towson.edu Th: 2:00-2:50, Stephens Hall 201
Office Hours:
M 9:00-10:00, 3:00-4:00, W 3:00-4:00 Section: 004
Prerequisites: MATH 119 or calculus course in high school or adequate score on
Placement Test
Catalog Description: Functions, limits and continuity; differentiation of algebraic and
trigonometric functions; mean value theorem; differentials; introduction to
integration; applications.
Learning Objectives:
1.
The student shall
understand the notion of limit, including both intuitive and rigorous
definitions. The student shall also be able to calculate limits as they appear
in practice, including one-sided limits and limits at infinity. The student
shall also understand the notion of continuity, and shall understand its
relationship to limits.
2.
The student shall
understand the concept of the derivative, including both intuitive and rigorous
definitions. The student shall be able to understand the significance of the
derivative, including its applications to slopes and velocities. The student
shall be able to compute the derivative, using the appropriate rules, including
the product rule, the quotient rule and the chain rule. The student shall
understand implicit differentiation, and the use of higher derivatives.
3.
The student shall
understand the applications of the derivative to related rates problems. The
student shall also understand the geometric significance of both the first and
the second derivative. The student shall also be able to solve applied problems
involving maxima and minima, shall understand Newton’s method, and shall be
able to use the derivative as an aid in approximation.
4.
The student shall
understand the notion of the definite integral and the indefinite integral, as
well as understand the differences between them. The student shall understand
the role that Riemann sums play in the definition of the definite integral. The
student shall understand the method of integration by substitution.
Academic Integrity: The nature of higher mathematics requires that students adhere to
accepted standards of academic integrity. Violations of academic integrity
include cheating, plagiarism, falsification and fabrication, complicity in
academic dishonesty, personal misrepresentation and proxy, bribes, favors and
threats. Cheating is a serious offense that will have grave consequences for
your academic life.
Students
who violate these standards will either fail the course outright or, at the
instructor’s discretion, may merely receive a zero on any assignment for which
the student receives inappropriate assistance. Particularly serious violations
of these standards will be referred to the administration for possible
additional action.
Instructional Material: The primary required text is Calculus, Early Transcendentals, fourth edition, by Stewart. Also required is Laboratory
Explorations for Single-Variable Calculus using Mathematica second edition,
by Boules, Goodson, Kim and O’Leary.
Other Required Material: A graphing calculator is required.
Methods of Instruction: We shall use lectures, class discussion, group
work, and laboratory work.
Attendance: Attendance is expected; you should only miss a
class for a compelling reason. If you do miss a class, you are responsible for
any material that you miss, including any homework assignments given in that
class.
Homework: The only way to learn mathematics is by doing
problems, problems, and more problems. In addition to the labs, homework will
be assigned on a regular basis, and will form a substantial portion of
your final grade. Expect to spend a substantial amount of time studying and
working on homework. The general rule is two to three hours outside class for
each hour inside; this translates to about 10-15 hours of homework and personal
study per week.
Quizzes: Occasional unannounced quizzes may be given. For
purposes of determining the final grade, they shall be treated as a homework
assignment.
Computer Laboratory: There will be weekly computer based laboratory
exercises. Laboratory assignments are due, unless otherwise specified, at the
beginning of class one week after the assignment is given.
Although the computer room in Stephens 310 is
available for student use, do not wait until the last minute to complete your
assignments because computer resources are limited. Accordingly, you are
encouraged not to fall behind in your lab work.
Laboratory
assignments will be graded based on the following criteria:
a. Content and accuracy (80%)
b. Format and appearance (20%)
Each lab report shall be
well written and conform to the usual rules for English composition. Merely
listing the obtained answers is unacceptable. The report may be in the form of
a Mathematica notebook.
Guidelines for Homework
and Laboratory Reports:
(1) Late work will not be accepted without a compelling
reason.
(2) Assignments are required to be neat, clean, and
paper-clipped or stapled.
(3) Assignments must include the author’s name, and a
brief description of the assignment.
(4) Students are allowed to discuss homework problems
with their classmates, however all work that is turned in must be the student’s
own work.
Any assignment that does not meet these criteria may
receive a deduction in score, or more generally will simply be rejected.
Midterms: There shall be four midterm examinations,
tentatively scheduled for February 20, March 13, April 10, and May 1. Attendance
is expected. Make-up exams shall only be given for compelling reasons; all
excuses are subject to verification.
Final Exam: The Final Exam is scheduled for Wednesday, May 16 from 3:00 p.m.- 5:00 p.m. The final exam will not be rescheduled.
Attendance is expected; a make-up exam will not be given without an extremely
compelling reason. The final exam shall be comprehensive.
Final Grade: Final grades shall be determined by the following method:
Midterms 30% Final 30% Homework/Quizzes 25%
Labs 15%
Note the weight of the
final. A student who does not complete 70% of the laboratory assignments may
not receive a grade of C or better.
The last day to withdraw from the course with a grade of
“W” is April 5.
Help: If
you have difficulty completing a homework assignment, do not hesitate to ask
for help, either from your friends, or from me. You are welcome to stop by my
office, for whatever reason, and at whatever time, even if there are no office
hours scheduled then. If you wish, you may also simply send an e-mail message.
Web Page: My web page at http://www.towson.edu/~moleary
has a page devoted to this course, which contains the syllabus, and copies of
exams once they are given. Also archived on that site are copies of all of the
old exams that I have given while at Towson.