MATH S1202Q (Section 002):
Calculus IV
Summer 2005 (2nd Session)

Mon, Tue, Wed, and Thu, 10:45am - 12:20pm, 520 Mathematics Building
July 5 - August 12

• Announcements
• Course Details
• Schedule of Lectures and Homeworks

Announcements

All important course announcements will appear here. So check back regularly.

**The final exam will be held on Friday August 12th in Room 203 (Note the room change) from 10:45 am to 1:45 p.m.
**There is a sample final exam available. Sample Final

Course Details

Instructor:  Matt DeLand (x45886, 206 Mathematics, deland@math.columbia.edu)

Office Hours: 10am daily Mathematics 405,  Also I'm available most days, just let me know and we can set up an appointment.

Teaching Assistant: Leon Ho, lh2128@columbia.edu Office Hours: Monday 3-4, Thursday 3-6pm, Friday 3-5 pm in the Math help room (406 Mathematics)

Text: James Stewart Calculus: Early Transcendentals, fifth edition, Brooks/Cole, 2003.

Course description: The main material covered in this course is Chapters 15 and 16 of Stewart. This covers Multiple Integrals and Vector Calculus. The main topics are:

1. Multiple Integrals
2. Integrals using Polar, Cylindrical, and Spherical Coordinates
3. Vector Fields
4. Line Integrals
5. Gradients, curl, and divergence.
6. Green's Theorem, Stoke's Theorem, Divergence Theorem

We will also cover topics from basic complex analysis. Reference materials are provided below. The required material will be what is presented in class, but these links should be helpful, if a bit unorganized.

Here is an online book:
Complex Analysis by George Cain

Here are course notes written by Prof. Herve Jacquet:
Complex Numbers
Complex Functions and the Cauchy Riemann Equations
Contour Integrals and Cauchy's Theorem
Complex Variables: Lecture 1
Complex Variables: Lecture 2

Prerequisites: All material covered in Calculus 1-3 (Stewart chapters 1-14, except those involving differential equations) will be assumed. However, knowing the theory of integration in one variable (very) well will help you generalize to our multivariable setting. It may be helpful to review this (it couldn't hurt at least).

Policies: The course is only six weeks long, and we will be moving quickly.
Please try to keep up as there won't be much time to catch up. Here are some suggested policies:

1. Active participation is strongly encouraged. Math is best learned by asking questions and by
   practicing (and practicing some more).
2. Reading the book is helpful. Please try to read the material we are going to cover before AND after class.
3. Attend class. (Not everything we cover will be from the book).
4. Do the homework.
5. Do problems that aren't assigned. This will make sure you understand the material and help you prepare for quizzes and exams.
6. Ask questions if something is not clear, both in class and outside of class.

Homework: Homework will be assigned daily and it is to your benefit to do it.

• It will be collected on Mondays and Wednesdays. The lowest grade will be dropped.
• Late homework will not be accepted.
• Collaboration is encouraged, as long as the work you hand in is your own. Also, staple your homework.
• For all written work, solve the problems in an organized fashion, with clear explanations. The grader can't/won't read your mind.
• Knowing how to solve the problems assigned will be to your benefit when taking quizzes and exams. It will also help you to know how to do problems in the book that weren't assigned.

Resources: Help is always available from the Help Room (Mathematics 406, 10am-5pm Mon-Thur), me, or the TA.
If there's something you don't understand -- ASK.

Exams: We will have 4 quizzes, one midterm, and one final

• There will be a quiz every Monday except for the week of the midterm exam (July 25th).
• The final exam given on August 12th. All exams will be given in class.
• No Calculators will be allowed.
• There will be no make-up exams without a note from a doctor or a dean.
• Let me know as soon as possible if there's going to be a conflict

Grading: The tentative grading scheme is as follows:

• Final: 40%
• Midterm: 25%
• Quizzes: 15%
• Homeworks: 20%

Class Schedule and Homework Assignments

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