Calculus I Syllabus, Summer 2010
Math S1101 Section 001 Call Number 62196
Day/Time: MTWR 4:30pm-6:05pm
Location: 417 Mathematics Building
Instructor: Evan Fink
Email: fink [dot] e [dot] one [at] gmail [dot] com
TA: Alexandros Michail
Email: akm2115 [at] columbia [dot] edu
TA: Shazia Dharssi
Email: sd2483 [at] columbia [dot] edu

Course info below.

Annoucements:

6/28: The answers to the (corrected) practice final are available here.

Also, here are some more practice finals (again, no guarantees as to whether they will reflect the actual final). 6/26: A (update: corrected) practice final is available here.

6/8: Solutions for the practice midterm are available here. Also, here are some more practice exams; they may not cover quite the same material. Also, there will be a problem session Wednesday 2:30 - 3:30 in the usual class room. And, homework solutions are available on Courseworks.

6/6: A practice midterm is available here.

5/25: We now have two TA's. Alexandros has office hours Monday 11:00-1:00pm, Wednesday 11:00-1:00pm, Thursday 1:00-3:00pm. Shazia's office hours will be announced shortly. My office hours will be before class every day, or by appointment.

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Course Objectives: We will study limits, derivatives, integrals, and the Fundamental Theorem of Calculus. We will also look at applications of the above, including graphing, optimization, and areas and volumes.

Text: J. Stewart, "Calculus (EARLY TRANSCENDENTALS)" (SIXTH EDITION). There are about 50 million slightly different versions of Stewart's Calculus, so make sure you get that one (or ask me if you're confused); homework will be assigned from it, and so if you don't have it, it will make your life difficult.

Office Hours: Before class, or by appointment.

Contacting me: Email is the best way. See top of page for address. Randomly coming to the office to look for me will probably be a futile endeavor, so if you want to meet with me outside of office hours, email.

Annoucements: I intend to keep announcements on this page. I'll probably also announce everything here in class or via email, but it would be a good idea to check this page occasionally anyway.

Grading: Homework/Quizzes: 30%
Midterm: 30%
Final: 40%

Homework: Generally will be assigned every day in class/ and on this page. Due every Monday in class. Late homework will not be accepted, barring special circumstances. Write up all your work, and clearly mark your answers. Homework will be graded for completeness and correctness. PLEASE try to write up the problem in order, or if not, clearly indicate where in your homework the problems are located. I recommend that you stay fairly up to date with the homework during the week, doing at least some of the assigned homework problems the day they are assigned.

Quizzes: There will be 10 minute quizzes at the beginning of class each Monday. They will only have a negative effect on your grade if you do poorly/disregard them AND fail to see me or otherwise demonstrate that you are working to fix any problems you have with the material. They will factor into your grade in a subjective way (i.e., they won't be "averaged", and please don't ask if I'll "drop the lowest quiz" -- that question really irks me for some reason).

Midterm and Final: Scheduled for Thursday 6/10 and Thursday 7/1 during class, respectively -- but these might be changed if there is a compelling reason to do so. No make-ups will be given without a note from the Dean, or special prior arrangement.

Help Room: 406 Math. If you have trouble, you should definitely utilize this. Free, convenient hours, helpful TA's. See the schedule here.

Calculators: Won't be necessary, will not be allowed on exams. Occasionally on homework assignments you might need a basic scientific calculator, such as the one included with any common operating system.

Collaboration: Collaboration on homework is encouraged, but I recommend taking a stab at some of the problems first; and of course, your write-ups should be your own. Don't copy. Don't do it.

Very Tentative Syllabus:

Day	Sections	Material	HW
5/24	Chapter 1	Review of functions	1.1 # 2, 10 1.2 # 7, 10 1.3 # 3, 29, 31, 41, 42, 50abc, 55 1.5 # 15, 17, 19
5/25	Chapter 1, 2.1	More review, tangents & velocities	1.6# 3, 6, 9, 15, 21, 33, 59, 62 2.1 #3, 4, 7
5/26	2.1-2.3	Limits of functions, limit laws	2.2 #5, 9, 10, 13, 17, 25, 34a 2.3 #1, 3, 5
5/27	2.3, 2.5	Limit laws, continuity	2.3 #11, 15, 17, 21, 23, 29, 37, 45 2.5 #5, 7, 17, 31, 37, 40
6/1	2.5, 2.6	Continuity, limits at infinity	2.5 # 46 2.6 #3, 7, 17, 22, 25, 28, 31, 44 2.7 #11, 13, 25, 29, 31
6/2	2.7, 2.8	Rates of change, and the derivative	2.8 #5, 12, 19, 23, 24, 34, 35
6/3	2.8, 3.1, 3.2	The product and quotient rules, trigonometric functions	3.1 # 3, 5, 7, 11, 13, 17, 21, 33 3.2 # 3, 5, 7, 25, 49
6/4	3.3, 3.4	The chain rule	3.3 # 1, 5, 11, 18, 23 3.4 # 7, 9, 11, 13, 31, 82ab
6/7	3.5, 3.6	Implicit differentiation, logarithmic functions	3.5 # 5, 11, 25, 45 3.6 # 3, 5, 38, 42 3.7 # 7, 10
6/8	3.7, 3.9	Linear motion, related rates	3.9 # 1, 5, 18, 21, 29 3.10 # 1, 20, 23
6/9	3.10	Linear approximation, differentials
6/10	Midterm	Chapters 1-3
6/14	4.1	Extrema of functions	4.1 # 5, 27, 53, 60, 69 4.2 # 1, 7, 11, 17, 25, 34
6/15	4.2	Mean Value Theorem	4.3 # 1, 9, 13, 24, 33
6/16	4.3, 4.4	Curve sketching, L'Hospital's rule	4.4 # 5, 11, 17, 31, 47, 53 4.5 # 7
6/17	4.4, 4.5	Summary of curve sketching	4.5 # 13, 25, 45
6/21	4.5, 4.7	Curve sketching, optimization problems	4.5 # 31 4.7 # 3, 13, 14, 17,34
6/22	4.9, 5.1	Antiderivatives, Areas	4.9 #1, 7, 18, 21, 22, 59 5.1 #1, 2, 3, 17, 18 Appendix E # 2, 10
6/23	5.1, 5.2	Areas, the definite integral	5.2 #1, 2, 29, 33 5.3 #3, 7, 14, 19
6/24	5.3	The Fundamental Theorem of Calculus	5.3 #23, 29, 31, 38 5.4 #3, 5, 17, 21, 27, 36, 57
6/28	5.4, 5.5	Indefinite integrals, the substitution rule	(Suggested)5.5 #1, 6, 9, 16, 53, 67 6.1 # 1, 5, 13, 14 6.2 # 1, 3, 5, 6, 9
6/29	5.5, 6.1	Substitutions, areas between curves
6/30	6.1, 6.2, Review	Areas between curves, volumes
7/1	Final	Chapters 1-6