Mike O’Leary                                                                            Autumn 2000

Office: 301C Stephens Hall                                                          MW: 2:00-2:50, Stephens Hall 206

Office Phone: 410-830-3896                                                      TuTh: 2:00-3:15, Stephens Hall 206

Email: moleary@towson.edu                                                        Section: 004

Office Hours: M 9:00-10:00, 3:00-4:00, W 3:00-4:00                       

 Prerequisites: MATH 273.

Catalog Description: Differentiation and integration of exponential, logarithmic, and inverse trigonometric functions; techniques of integration and applications; indeterminate forms; improper integrals; sequences and series of numbers; power series.

Learning Objectives:

1. Students will understand the basic applications of integration, including the formal definition of the logarithm and exponential function, the use of the integral to compute the area between curves, and to find the volume of a region using cross-sections or shells. The student will also understand applications of the integral to work and to averages. The student will be able to use the integral to compute arc length and the area of a surface of revolution. The student will be fluent with basic applications to the physical and social sciences.

2. The student will understand the basic techniques of computing antiderivatives, including substitution, integration by parts, trigonometric integrals, trigonometric substitution, and partial fractions. The student will know the basic methods used for the numerical evaluation of integrals and their error estimates.

3. The student will understand some elementary techniques used to solve ordinary differential equations, including the use of a slope field, and the techniques for solving separable equations. The student will understand basic applications of differential equations.

4. The student will understand infinite sequences and series. The student will be able to determine whether or not a series converges, and shall be able to approximate the value of such a series. The student will also understand power series and their applications, including Taylor’s Theorem.

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 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 September 25, October 18, November 15, and December 6. 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 Tuesday, December 19 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 November 9.            

For questions and comments, please use the feedback page, or email  your comments to moleary@towson.edu .

Last Modified: January 16, 2001