Calculus I Syllabus, Spring 2008
Math V1101 Section 005 Call Number 62194
Day/Time: TR 4:10pm-5:25pm
Location: 520 Mathematics Building
Instructor: Evan Fink
Email: [last name]@math.columbia.edu (you know, put "fink" where it says [last name])
TA: Stephanie Chou
Email: ssc2123 [at] columbia [dot] edu

Course info below.

Annoucements:

5/7:
You can find a tip sheet here.
The practice answers have been corrected.
Also, suggested exercises for Chapter 6 (better late than never):
6.1 # 1, 5, 13, 14
6.2 # 1, 3, 5, 6, 9

5/5:
You can find answers to the practice final here.

4/28:
You can find a practice final here.

4/22:
HW#11 due April 30:
4.9 #21, 22, 59
5.3 #3, 19, 23, 29, 31, 38
5.4 #3, 5, 17, 21, 27, 36, 57
5.5 #1, 6, 9, 16

4/17:
HW#10 due April 23:
Appendix E # 3, 10, 11, 15
5.1 #1, 3, 17, 18
5.2 #1, 2, 29, 33abc
5.3 #7, 14, 20

4/10:
HW#9 due April 16:
4.4 # 5, 11, 17, 21, 31, 47, 49, 53
4.5 # 7, 25, 31, 36, 45
4.7 # 3, 5, 13, 33

4/3:
You can find answers to the practice here.

4/1:
You can find a practice midterm here and a tip sheet here.

3/27:
The second midterm will be on April 8th. Sorry for any confusion.

3/25:
HW#8 due April 2:
3.10 # 1, 20, 23
4.1 # 7, 27, 47, 53, 60
4.2 # 1, 7, 11, 15, 18, 25
4.3 # 1, 2, 9, 13, 24, 33

3/13:
HW#7 due March 26:
3.6 # 3,5,9, 38, 39
3.7 # 7, 10
3.9 # 5, 18, 21, 29

3/5:
HW#6 due March 12:
3.3 # 1, 5, 11, 15, 18, 23, 39
3.4 # 7, 11, 13, 23, 31, 40
3.5 # 5, 7, 11, 15, 25, 45, 47

2/28:
HW#5 due March 5:
2.8 # 23, 24, 27, 34, 35
3.1 # 3, 5, 7, 11, 13, 17, 21, 33, 35
3.2 # 3, 5, 7, 9, 13, 25, 31, 49

2/22:
Remember that the first midterm is on Tuesday!
Answers to the practice exam are here.

2/19:
You can find a practice midterm here and a tip sheet here.

2/13:
HW #4 (due on 2/20, for those who are confused):
2.6 #3, 7, 8, 15, 17, 22, 25, 28, 31, 44
2.7 #11, 13, 16, 25, 29, 31
2.8 #5, 12, 19, 21

2/5:
HW #3: 2.3 #17, 21, 23, 25, 29, 35, 37, 45
2.5 #3, 5, 7, 11, 17, 31, 35, 37, 40, 49

1/30:
1.Hw #2: 2.1 #1, 3, 4, 7
2.2 #5, 9, 10, 13, 17, 25, 34a
2.3 #1, 3, 5, 11, 15

2. Our TA's office hours are Wednesdays, 12:30 - 2:30 in Milbank Hall.

1/21:
1. HOLD THE PHONE! We have a TA for this course. Her name is Stephanie Chou. This entails several things, including help room office hours (i.e. if you go to 333 Milbank during her office hours, you have some sort of priority) and slightly more rigidity in handing in homework assignments on time. I'll solidify this more on Thursday.

2. HW #1: 1.1# 1, 2
1.2# 10
1.3# 29, 31, 41, 42, 50abc
1.5# 15, 16, 19
1.6# 3, 6, 9, 15, 21, 33, 59, 62

##################
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: Monday 2-3, Tuesday 3-4, and a few minutes after class usually. Come to Room 408 and knock; if I move from there, there will be a note on the door.

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: 20%
Midterms: 40%
Final: 40%

Homework: Generally will be assigned every Tuesday in class/ on this page. Due every Wednesday at 5PM in my mailbox outside room 408. 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 PROBLEMS IN ORDER, or if not, clearly indicate where in your homework the problems are located.

Midterms: Tentatively scheduled for Thursday 2/21, and Tuesday 4/8 during class. No make-ups will be given without a note from the Dean, or special prior arrangement.

Final: TBA. This is scheduled by the registrar, and will be during the exam period. I'll let you know when as soon as possible. Again, no make-ups without a Dean's note, so plan travel home accordingly.

Help Room: 333 Milbank, on the Barnard side of campus. If you have trouble, you should definitely utilize this. Free, convenient hours, helpful TA's.

Calculators: Won't be necessary, will not be allowed on exams.

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.

Tentative Syllabus:

Week	Sections	Material
1/22	Chapter 1	Review of functions
1/29	Chapter 1, 2.1-2.3	Tangents & velocities, limits of functions, limit laws
2/5	2.3-2.6	More limits, continuity, limits at infinity
2/12	2.7-2.9, 3.1	Rates of change and the derivative
2/19	3.1, 3.2 & Midterm on 2/21	Differentiation rules: polynomials and exponential functions, product and quotient rules.
2/26	3.2-3.6	Differentiation rules: trig functions, chain rule, implicit differentiation, log functions
3/4	3.9, 3.10	Related rates, linear approximation, differentials
3/11	4.1-4.3	Max and min values, mean value theorem, curve sketching
3/18	Spring Break	Spring Break Related Activities
3/25	4.3-4.5, 4.7	L'Hospital's rule, curve sketching, Optimization problems
4/1	4.7-4.9, 5.1	Optimization problems, Newton's method, antiderivatives, areas
4/8	Midterm on 4/8 & 5.1	Antiderivatives and areas
4/15	5.1-5.4	Areas and distances, the definite integral, the Fundamental Theorem of Calculus
4/22	5.4, 5.5, 6.1, 6.2	Indefinite integrals, the Net Change theorem, substitution rule, areas between curves, volumes
4/29	6.2, 6.3, 6.5	Volumes, average value of a function
5/6	Reading period	Probably a review session