Math 8

Calculus of Functions of One and Several Variables - Fall 2004

Text: Calculus, by James Stewart, Fifth Edition, ISBN: 0-534-39339-X

Grade: Depending on which total grade is higher, your grade will be determined either as homework (10% of your grade), 2 midterms exam (30% of your grade each), and a final exam (the remaining 30% of your grade) OR homework (10% of your grade), 2 midterms exam (20% of your grade each), and a final exam (the remaining 50% of your grade).

Exam Times: Two exams will be held on the evenings of October 14 and November 11 from 6-8 p.m.. Our final will be on Tuesday December 7th at 11:30 a.m. (Joint Math Exam). You are expect to be free at these times and must discuss any legitimate conflicts with one of us during the first week of class.

Class Log: The homework assignments and exam dates can be found in the class log. Your homework will only be graded if we can find your name and the assignment's number on it. If you intend to turn in multiple pages, then these pages must be stapled together. Homework will never be accepted late, and any assignment not turned in on time will be recorded as a zero. However, you will be allowed to drop your three lowest homework scores.

Honor Principle: On the exams, no help is to be given or received. On the homework, collaboration is permitted and encouraged, but NO COPYING . In other words, you should feel free to talk to other students while you are in the process of thinking about a problem. However, when it comes time to write up your solutions, you must do this by yourself without outside assistance.

Students with disabilities: We encourage students with disabilities, including "invisible" disabilities like chronic diseases and learning disabilities, to discuss with us any appropriate accommodations that might be helpful.

Tutorial Sessions : There is a tutorial session every Sunday, Tuesday and Thursday from 7-9 where you can receive advice on the course material (except during Thanksgiving break).

Study Group : Study group are available for this course through the academic skills center.

X-Session: We will be scheduling 2 X-Hours in order to make room for three (optional) review lectures, one for each of the three exam (see the syllabus).

Rough Syllabus ( Detailed Syllabus ): This course is a sequel to Mathematics 3 and is appropriate for students who have successfully completed an AB calculus curriculum in secondary school. Roughly half of the course is devoted to topics in one-variable calculus: techniques of integrations, areas, volumes, trigonometric integrals and substitutions, sequences and series including Taylor series.

The second half of the course generally studies scalar valued functions of several variables. It begins with the study of vector geometry, equations of lines and planes, and space curves (velocity, acceleration, arc-length). The rest of the course is devoted to studying the differential calculus of functions of several variables. Topics include limits and continuity, partial derivatives, tangent planes and differentials, the Chain Rule, directional derivatives and applications, and optimization problems including the use of Lagrange multipliers.

Alternatives: There are several alternate ways to satisfy the Math 8 requirement that may better suit your needs. You should consider them. They are:

Math 11: Math 11 is a course designed for students who find that through October 20th of our course syllabus that our course looks entirely like review (the equivalent of two terms of AP credit based upon the BC exam or the permission of a Math 11 instructor is required).

Math 15.1: Math 15 is a course fine tuned to the needs of the Physics 15 and 13 student (this course has the same prerequisites as Math 8).

Math 9: Math 9 is an honors version of Math 8 with an emphasis on proof (This course can be taken by invitation of the Department Chair or with the permission of a Math 9 instructor).