MATH 207: Honors Calculus III

Fall 2006

Description and goals: This is a rather rigorous introduction to differential calculus in several variables, with emphasis on two and three dimensional problems. It includes an introduction to linear algebra and, as time permits, glimpses into applications in differential equations and geometry of curves and surfaces. The course is a continuation of Math 157-158. As always, its true prerequisite is the intellectual curiosity to learn about a nice piece of mathematics and the willingness to think.

Text and References

Syllabus

Assignments

Announcements:

• 12/22: Check out your COURSE GRADE.

• 12/20: Here is the final exam solution.

• 12/17: Check out the Final Exam.

• 12/10: Here are the Workshop 3 review problems to be discussed on 12/12.

• 12/5: Class hand-out with examples of vector fields in the plane .

• 11/17: Check out the second midterm solutions.

• 11/11: Here are the Workshop 2 review problems to be discussed on 11/14.

• 11/9: Class hand-out with examples of local extrema of functions of two variables.

• 11/2: Check out this note on the proof of the 2nd order Taylor's formula for scalar functions of several variables.

• 10/12: Check out the first midterm solutions.

• 10/6: Here are the Workshop 1 review problems to be discussed on 10/10.

• 9/28: Our text (Marsden-Tromba) has a web site that features useful material for students, including PowerPoints and practice final exams. There is also an internet supplement which contains some of the proofs that are omitted in the text. For your convenience, you can download this supplement here.

• 9/21: Click here for a short discussion of solving systems of linear equations and finding inverses of square matrices (taken from Apostol's book). I recommend reading through sections 16.18 and 16.19, even if you have taken linear algebra before.

• 8/31: Welcome!

General Information and Ground Rules:

• Class lecture meetings are Tuesdays and Thursdays 1:45 - 3:30 in Kiely 419.

• Homework is an absolutely essential part of this course. You cannot master the course material without solving many problems consistently throughout the semester. Homework will be assigned roughly every week and will be discussed in class, as much as time allows. You are encouraged to work together on these problems, but the work that you hand in must be your own write up.

• The course grade is based on the following scheme:
  
  

  Home/Class Work	Two Midterms	Final Exam
  20%	20% each	40%

• The exams schedules are as follows:
  
  

  Midterm 1	Midterm 2	Final
  Thursday Oct 12 (in class)	Thursday Nov 16 (in class)	Wednesday Dec 20 1:45-3:45 (room TBA)

• If a midterm exam is missed because of a documented illness or valid emergency, the course grade will be determined on the basis of the other work done during the semester. Exams missed for other reasons will count as failures.

• At the end of the semester, everyone who has not withdrawn from the class will receive a grade. Incompletes will not be given to avoid F's.

Saeed Zakeri