Math V1202--Calculus IV Syllabus**
Columbia University
Mondays and Wednesdays 2:40-3:55pm
Room 203 Mathematics
G. Michael Guy

Office: Mathematics 626

Email: michael (at-symbol) gmichaelguy.com (Read this first!)

Web address: http://gmichaelguy.com

Class Blog: There is a class blog at http://classblog.gmichaelguy.com The blog will be used for announcements of homework, tests and other course related information.

Office Hours: To be announced on the class blog.

Objectives: The course begins with integration of functions of two and three variables. Next, we study the calculus of vector fields: the various differential operators (curl, div) that can be applied to a vector field, types of integrals of vector fields (line integrals, surface integrals), and the fundamental theorems (Green, Stokes, Gauss) relating differentiation and integration of vector fields. The last part of the course is an introduction to the theory of functions of a complex variable. This theory is important in many applications of mathematics, physics, and engineering, and draws upon the material of the first two thirds of the course.

Book: Calculus, Early Transcendentals (6th Edition) by James Stewart.

Grading:
The usual 10 point grading scale, at a minimum, will be used. It is often necessary, however, to modify this scale as the term progresses.
[90,100] =A; [80,90) =B; [70,80) =C; [60,70)=D; [0,60)=F
A plus/minus will be included on grades in the top/bottom 2 percent of each range except an A+ will only be assigned to the top 1 percent.

Grading will be based on the following:
Two Tests: 40%
Homework: 10%
Quizzes: 10%
Final Exam: 40%

Quizzes: There will be approximately 5 Quizzes during the semester. These will be announced in advance. The top 4 grades will be averaged together to form your grade. These will be short (usually 1 or 2) problems at the end of class which will simply assess your progress with the current material. The problems will be very similar to problems which were assigned as homework. The tentative dates for the quizzes are February 4, February 11, March 10, March 31, April 28 (all dates Mondays).

NO tests will be dropped.

Homework: Homework will be assigned weekly and posted on the class blog. All problems will be due at the beginning of class on the stated date (usually the Monday following assignment). Selected problems will be graded for accuracy and the rest for completition.. All problems are essential for your success in the class.

Courseworks: Grades will be posted on Courseworks.

Test Dates: The tests are tentatively scheduled for February 20 and April 7.

Extra Credit: There will be no extra credit.

Calculators are not allowed for use in graded activities.

Make-up Assignments: In general there are NO make-ups! In order to make-up a test, you must provide sufficient proof that your absence was as a result of severe illness, death of a member of your family or because of another very limited excusable reason. Please notify me via email in advance of any such absence, when possible. The make-up must be completed in a timely manner or a grade of zero will result.

Attendance: Attendance is necessary for your success in this class. However, no attendance will be taken, and there is no deduction for missing class. See the make-up section above for more information about missed assignments.

Anonymous Feedback: While evaluations serve to give me feedback at the end of the course, it is often helpful for students to have the option to give feedback during the course. As a result, I have setup a form which allows you to give me completely anonymous feedback during the course. This form is found at http://feedback.gmichaelguy.com You may rest assured that the feedback is completely anonymous, not traceable, and will in no way negatively impact your grade or treatment in this class. It can only help me serve your individual needs better.

The Help Room in 406 Mathematics is open during the day, Monday through Friday, to students seeking individual help from the instructors and teaching assistants.

Academic Honesty: Collaboration is encouraged during homework, but the work which is graded should be 100% yours. Any violation of the academic honesty policy will result in the maximum allowable penalty for such an infraction including (but not limited to) receiving an F for the assignment and/or the class and being turned over to the proper authorities for further discipline. You are responsible for maintaining the integrity of your work. Failure to secure your work is also a violation of the academic honesty policy of this class.

** This syllabus is only a tentative plan for the course and may be amended at anytime. Any amendments will be made on the class blog.