Office: 607 Mathematics, phone: 854-3210
Email: ikofman@math.columbia.edu
Web site: http://math.columbia.edu/~ikofman/
TA's: Hui Xue (hxue@math.columbia.edu), Hanna Han
Course Time and Place: 1:10pm - 2:25pm Monday and Wednesday, 203 Mathematics Building
Text: Calculus, Early Transcendentals (Fourth Edition) by James Stewart
Material Covered: Multiple Integrals (Chapter 15), Vector Calculus (Chapter 16), Differential Equations (Chapter 9), Topics in Complex Analysis (Appendix G and supplementary material).
Midterm Exams: The midterm exams are on Wednesday, February 20 and Monday, April 8. Makeups will not be given for the midterm exams. Students can only be excused from the midterms because of serious illness or a family emergency of comparable gravity. To be excused you will need a note from your doctor and dean.
Final Exam: The University has scheduled the final exam for Monday, May 13, 1:10pm - 4pm. All students must take the final exam at the time scheduled by the University; no final exams can be given earlier or later. (Master University Final Exam Schedule)
Homework: Homework will be due each Monday on the material covered in lecture during the previous week. The homework assignments appear below, and any changes will be announced in class. Late homework will NOT be accepted under any circumstances because only the ten best scores on homework will be counted toward the final grade. Graded homework will be placed in a box on a desk in the corridor opposite the Undergraduate Mathematics Office (410 Mathematics). I highly recommend working jointly on homework problems with fellow students, but in the end you must hand in your own work.
Grading: The course grade is apportioned as follows: Final exam 40%; each midterm exam 20%; ten best homework grades 20%. Borderline grades will be decided by the grade on the final exam.
Help: My office hours are Monday 3-4pm in the Help Room 406 Mathematics, and Wednesday 2:30-3:30pm in my office 607 Mathematics. The help room, 406 Mathematics, is open with people to answer calculus questions all day long on weekdays.
Optimal Method of Study:
(1.) Read the appropriate sections of the book before
coming to class. (2.) Come to class. (3.) Read the sections again after class. (4.) Do the homework. Leave time to think--do not put homework off until it is due! If you get stuck, work nearby odd-numbered problems, which are solved in the back of the textbook. (5.) Come to office hours or the help room with any remaining questions.
Week | Reading | Homework | Due |
January 23 | Sec. 15.1, 15.2 | 15.1: 3,4,6,13,14,18.
15.2: 3,4,8,11,13,16,24,29,34. |
Jan. 28 |
January 28 | Sec. 15.3, 15.4 | 15.3: 4,8,10,18,19,26,36,37,40,45.
15.4: 8,11,12,16,24,27. |
Feb. 4 |
February 4 | Sec 15.5, 15.6, 15.7 | 15.5: 2,6,10,12,16,18,21,28,29.
15.6: 2,4,6,12,20. 15.7: 2,4,7,14,16,24,29,31. |
Feb. 11 |
February 11 | Sec. 15.8, 15.9 | 15.8: 1,5,6,10,16,18,20,29,30,34,35.
15.9: 2,8,9,11,14,18,20,23. |
Feb. 18 |
February 18 | Sec. 16.1
First Midterm Exam Feb. 20 (Chapter 15) |
16.1: 4,8,11,12,13,14,29,30,31,32. | Feb. 25 |
February 25 | Sec. 16.2, 16.3 | 16.2: 3,7,10,14,17,18,20,22,39.
16.3: 1,6,8,11,20,21,23,26. |
March 4 |
March 4 | Sec. 16.4, 16.5 | 16.4: 2,4,8,10,14,16,18,20,27.
16.5: 3,6,8,9,10,11,12,14,24,31,35,36. |
March 11 |
March 11 | Sec. 16.6, 16.7 | 16.6: 11,12,13,14,15,16,18,20,30,34,38.
16.7: 5,6,16,17,19,22,24,27,35. |
March 25 |
March 25 | Sec. 16.8, 16.9 | 16.8: 1,2,6,7,8,13,14,15,17,19.
16.9: 1,3,6,9,10,13,16,19,23,24,25. |
April 1 |
April 1 | Review | None | |
April 8 | Second Midterm Exam April 8 (Chapter 16)
Sec. 9.1, 9.2 |
9.1: 1,2,4,7,10,11,12.
9.2: 1,3,4,5,6,7,10,12,19. |
April 15 |
April 15 | Sec. 9.3, 9.4 | 9.3: 2,6,8,10,12,16,28,29,31,32,34,36.
9.4: 1,2,4,8,10,11,12,13,16,18. |
April 22 |
April 22 | Sec. 9.5, 9.6, 9.7 | 9.5: 3,5,7,8,9,10.
9.6: 1,2,3,4,10,14,16,18,29,31,33,35,36. |
April 29 |
April 29 | Appendix G and supplementary material | App. G: 1,3,5,8,12,14,16,18,20,22,26,
28,29,34,36,38,40,44,46,47. |
May 6 |
May 6 | Review | None |