Email: alishahi@math.columbia.edu
Time and Place:
Teaching Assistant: Jee Whan Yoo
Help Room Hours: Milbank 333, Barnard campus; Schedule
Office hours: Tuesday: 2:30p-3:30p and Wednesday: 10a-11a or by appointment; in Math 613
Textbook: James Stewart, Calculus: Early Transcendentals, 8th Edition
Webassign: Webassign is required for both sections and the class key is columbia 9988 5604.Please use your UNI as your username when creating your WebAssign account.
Information about the different options to buy the textbook and webassign from the publisher or bookstore is available on Calculus Classes webpage.
Prerequisite: Math. V1101 (Calculus I) or equivalent. See Calculus Classes webpage for more information.
Homework: There will be both online, via WebAssign, and written problem sets every week. The problems sets are due at the beginning of class on Mondays. If you can't make it to the class, put it in the assigned box outside of 410 Math.
You are welcome to work on the written assignments together, but you must write up in your own words. Simillarly, for WebAssign problems you are welcome to work on them together, through the "practice this problem" feature, but you must work out the solution to your problem (with the random numbers WebAssign chose for you) on your own.
Late homeworks are not accepted. Solutions of written homeworks will be posted on Courseworks after each assignment is due.
Written Homework 1
Written Homework 2
Written Homework 3
Written Homework 4
Written Homework 5
Written Homework 6
Written Homework 7
Written Homework 8
Written Homework 9
Written Homework 10
Written Homework 11
Written Homework 12
Solutions-Homework 1
Solutions-Homework 2
Solutions-Homework 3
Solutions-Homework 4
Solutions-Homework 5
Solutions-Homework 6
Solutions-Homework 7
Solutions-Homework 8
Solutions-Homework 9
Solutions-Homework 10
Solutions-Homework 11
Solutions-Homework 12
Exam: There will be two 75-minute in-class midterm exams, and a final exam.
Midterm 1: October 7
Midterm 2: November 23
Final Section 2: December 18 at 9 AM
Final Section 5: December 21 at 7 PM
If you have a conflict with any of the exam dates, you must contact me ahead of time so we can make arrangements. (At least a week ahead is preferable.) If you are unable to take the exam because of a medical problem, you must go to the health center and get a note from them -- and contact me as soon as you can.
Grading: The final course grade will be determined by:
Homework: 20%
Midterm 1: 20%
Midterm 2: 20%
Final: 40%
The lowest two written homework scores and the lowest two online homewwork scores will be dropped.
Getting help. If you're having trouble, get help immediately. Everyone who works seriously on mathematics struggles. But if you don't get help promptly you will soon be completely lost. The first places to look for help are my office hours and the course TA in the help room. Talking to your other classmates can also be helpful. Finally, there is information about tutoring resources through CC / SEAS, GS, and Barnard here.
Student with disabilities: Students must register with the Disability Services and present an accomodation letter before the exam or other accomodations that can be provided. More information is available on the Disability Services webpage.
Tentetive Syllabus
| Date | Material | Sections | Notes |
|---|---|---|---|
| 9/9 | Review Integrals, Fudamental theorem of calculus and substitution rule | 5.1,5.2,5.3,5.4,5.5 | |
| 9/14 | Area between curves, Volume | 6.1,6.2,6.3 | |
| 9/16 | Volume, Integration by parts | 6.3,7.1 | |
| 9/21 | Integration by parts | 7.1 | |
| 9/23 | Trigonometric integrals | 7.2 | HW 1 Due |
| 9/28 | Trigonometric substitution | 7.3 | HW 2 Due |
| 9/30 | Integration of rational functions | 7.4 | |
| 10/5 | Review, strategies for integration | 7.5 | HW 3 Due |
| 10/7 | Midterm 1 | ||
| 10/12 | Improper integrals | 7.8 | |
| 10/14 | Arc length | 8.1 | CC, GS, Barnard drop deadline 10/13 |
| 10/19 | Area of a surface of revolution | 8.2 | |
| 10/21 | Sequences | 11.1 | |
| 10/26 | Series and the integral test | 11.2,11.3 | |
| 10/28 | Comparison tests | 11.4 | |
| 11/4 | Alternating Series, absolute convergence, ratio and root tests | 11.5,11.6 | |
| 11/9 | Stategy for testing series | 11.7 | |
| 11/11 | Power series, representations of functions as power series | 11.8,11.9 | |
| 11/16 | Taylor and Maclaurin series | 11.10 | |
| 11/18 | Applications of Taylor polynomials | 11.11 | |
| 11/23 | Midterm 2 | SEAS drop deadline and P/F deadline 11/19 | |
| 11/25 | Differential equations, Euler's method | 9.1,9.2 | |
| 11/30 | Separable equations | 9.3 | |
| 12/2 | Linear equations | 9.5 | |
| 12/7 | Parametrized curves | 10.1, 10.2 | |
| 12/9 | Polar coordinates, area length in polar coordinates | 10.3,10.4 | |
| 12/14 | Review |