CALCULUS III - Fall 2005 - Prof. Dylan Thurston

Version of Sept. 28, 2005


Instructor: Prof. Dylan Thurston, Office 614 Mathematics Hall, e-mail dpt@math.columbia.edu
Office hours: Mondays, 3-4PM and Wednesdays, 10-11AM, in Mathematics 614, or by appointment.
TA: Danny Gillam (wgillam@math.columbia.edu)
Website: http://www.math.columbia.edu/~dpt/F05/CalcIII/syllabus.html

Time and Place: 4:10 pm - 5:25pm, Monday and Wednesday, 328 Milbank Hall

Text: James Stewart - Calculus, Early Transcendentals (Fifth Edition)

Material Covered: Chapter 12, Vectors and the geometry of space; Chapter 13, Vector functions; Chapter 14, Partial derivatives; Appendix G, Complex numbers; Sections 10.3 and 10.4, Polar coordinates; and Sections 17.1 through 17.3, Ordinary Differential Equations.

Homework: Homework will be assigned every Wednesday and will be due the following Wednesday. The homework assignments will be announced in class and will also appear below; they must be handed in at the beginning of class. The lowest two homework grades will be dropped in calculating your grade.

Midterm Exams. The midterm exams are on Monday, October 10 (Note change!) and Wednesday, November 9. If you cannot make either of these dates, please contact me immediately.

Final Exam: The University has scheduled the final exam for Monday, December 19 from 4:10 - 7:00 pm.

Grading: The course grade is apportioned as follows: Final exam 40%; each midterm exam 20%; homework 20%.

More help: In addition to my office hours above, the Math Help Room in Milbank 333 will be open starting next week; while it is open, there will be people there who can help answer your questions in calculus. Starting on Monday, Sept. 12, it will be open Monday-Thursday, 10AM-10PM and Friday, 1-5PM.

Method of Study: Your work for every class should have five components:
    1. Read the appropriate section(s) of the book before coming to class.
    2. Come to class.
    3. Read the section(s) again after class.
    4. Do the homework.
    5. Ask questions! If you have questions at any point, ask questions in class, in office hours, or at the math help center.

Weekly Schedule

(Check back for updates and changes!)

Week Reading Homework
Sept. 712.1, 12.212.1: 4, 8, 14; 12.2: 14, 26
Sept. 12, 1412.2, 12.3Homework 2
Sept. 19, 2112.4, Cramer's rule, 12.5Homework 3
Sept. 26, 2810.1, 12.5, Lines, 12.6Homework 4
Oct. 3, 5 A.G (Complex numbers), 10.3
Oct. 10, 12Midterm 1, Oct. 10 (Sample problems, Answers to sample problems), 13.1Homework 5 (due Oct. 21)
Oct. 17, 1913.1,13.2, 13.3Homework 6 (due Oct. 28)
Oct. 24, 2613.4,14.1,14.2Homework 7 (due Nov. 2)
Oct. 31, Nov. 214.3, 14.4Homework 8 (map)
Nov. 9Midterm 2, Nov. 9 (Sample midterm, Solutions)
Nov. 14, 1614.5, 14.6Homework 9
Nov. 21, 2314.6, 14.7
Nov. 28, 3014.8, A.G (Complex numbers)Homework 10 (due Dec. 12)
Dec. 5, 717.1, 17.2
Dec. 1217.2Homework 11 (due Dec. 14)
Dec. 19Final (Sample final, Answers)