MATH 207: Honors Calculus III

Fall 2017

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 a rapid 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. Image: Physical interpretation of curl (courtesy of cnx.org)

Text and References

Syllabus

Assignments

Announcements:

• 12/20: Check out the final exam solutions. I'll post the grades in a few days.

• 12/16: Check out the final exam, part I.

• 12/9: Here are the Workshop III review problems to be discussed on 12/12. Make sure you think about them ahead of time!

• 12/6: Here are the solutions to the remaining HW7 problems.

• 11/9: Check out the second midterm solutions.

• 11/8: Here are the solutions to the remaining HW5 and HW6 problems.

• 11/3: Here are the Workshop II review problems to be discussed on 11/7. Make sure you think about them ahead of time!

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

• 10/25: Watch and play with the cycloid and its cousins on your browser. This is a copy of the class demonstration. Feel free to experiment with the parameters in the left panel.

• 10/24: Here is a short note on the proof of the chain rule in higher dimensions.

• 10/5: Check out the first midterm solutions.

• 10/2: Here are the solutions to the remaining HW3 problems that we didn't discuss in class.

• 9/27: Here are the Workshop I review problems to be discussed on 10/3. Make sure you think about them ahead of time!

• 9/17: Click here for a quick introduction to the method of solving systems of linear equations and finding inverses of square matrices, which I have taken from volume II of Apostol's Calculus. If you have not studied linear algebra before, this would be a great gentle introduction. I recommend that you read through sections 16.18 and 16.19 even if you have seen this material before.

• 8/29: Welcome!

General Information and Ground Rules:

• Class lecture meetings are Tuesdays and Thursdays 10:15 - 12:05 in Kiely 277.

• 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 will be based on the following:
  
  

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

• The exams schedules are as follows:
  
  

  Midterm 1	Midterm 2	Final
  Thursday Oct 5 (in class)	Thursday Nov 9 (in class)	Tuesday Dec 19 11:00 AM - 1:00 PM (in class)

• 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