Spring 2006 Course Syllabus
Course: 0127.005.
Course Title: Calculus III, Multivariable Calculus.
Time: MWF, 12:40 - 1:50 pm.
Place: Barton Hall Classrooms, Room 407.
Instructor: Eby, Wayne.
Instructor Office: Wachman Hall, Room 444.
Instructor Email: eby@temple.edu
Instructor Phone: (215) 204-7286.
Office Hours: MWF, 11:40 - 12:30, F 3:20 - 4:20.
Prerequisites: Grade of C or better in Math 086 or equivalent transfer credit.
Textbook: Multivariable Calculus, 5th ed., James Stewart, Brooks/Cole Publishing Company, 2003.
Course Goals: The primary goal of the course is to learn to give accurate answers on problems from Multivariable Calculus. Secondary goals will be to understand concepts, including understanding why we use the methods we learn, and also how these mathematical problems relate to real world problems from sciences and engineering.
Topics Covered: We will first learn about three dimensional coordinates and the use of vectors. We then use vector functions and parameterizations of curves to explore aspects of three dimensional motion. We then look at functions of more than one variable and how their graphs are represented. The main tool here is the partial derivative, and we use it for approximation, directional derivatives, and optimization. Multiple integrals are used to find volumes, surface areas, and more general computations. Finally in Vector Calculus, we look at integrals involving vector fields, the line integral and the surface integral. Important theorems for evaluating such integrals include the Fundamental theorem of Line Integrals, Green's Theorem, and Stokes' Theorem.
Course Grading: The primary consideration for grades is student's ability to correctly solve mathematical problems in an exam setting. There will be weekly quizzes, two midterm exams, and a final exam. The point distribution will be as follows: Quiz/Homework 22%, Midterm Exams 22% each, Final Exam 34%.
Exam Dates: The first midterm exam will be held Wednesday, February 22 (in class), and the second midterm exam will be held on Wednesday, April 12 (in class). If you cannot be present at either of these exams, you must contact me and make arrangements before the time of the exams. The Final Exam is a departmental exam designed to test whether you've learned enough to move on from Multivariable Calculus. It will be held on Thursday, May 4, from 2 to 4 pm (location TBA). Be sure to keep this time open, as it is the only time the Final will be given.
Attendance Policy: Attendance at all class sessions is expected. It is also important to be on time. You must be in class to take the weekly quizzes and the exams. Excessive absences may be reflected in a penalty in your grade.
Any student who has a need for accommodation based on the impact of a disability should contact me privately to discuss the specific situation as soon as possible. Contact Disability Resources and Services at (215) 204-1280, 100 Ritter Annex, to coordinate reasonable accommodations for students with documented disabilities.
Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here.
Students will be charged for a course unless a withdrawal form is processed by a registration office of the University by the Drop/Add deadline date given below. For this semester, the crucial dates are as follows:
During the first two weeks of the fall or spring semester or summer sessions, students may withdraw from a course with no record of the class appearing on the transcript. In weeks three through nine of the fall or spring semester, or during weeks three and four of summer sessions, the student may withdraw with the advisor's permission. The course will be recorded on the transcript with the instructor's notation of "W," indicating that the student withdrew. After week nine of the fall or spring semester, or week four of summer sessions, students may not withdraw from courses. No student may withdraw from more than five courses during the duration of his/her studies to earn a bachelor's degree. A student may not withdraw from the same course more than once. Students who miss the final exam and do not make alternative arrangements before the grades are turned in will be graded F.
The grade I (an "incomplete") is reserved for extreme circumstances. It is necessary to have completed almost all of the course with a passing average and to file an incomplete contract specifying what is left for you to do. To be eligible for an I grade you need a good reason and you should have missed not more than 25% of the first nine weeks of classes. If approved by the Mathematics Department chair and the CST Dean's office, the incomplete contract must include a default grade that will be used in case the I grade is not resolved within 12 months.