Calculus IIS
Spring 2003


Instructor:        Prof. Chris Leininger
Office:                 307-A Mathematics
Phone:                   854-9235
Email:               clein@math.columbia.edu
Office hours:     Monday 2:00--3:00 in 307-A Mathematics and Thursday 5:00--6:00 in 333 Milbank Hall
Class times:        Monday and Wednesday 9:10--10:25
Location:              207 Mathematics

Text:  Calculus, Early Transcendentals (Fourth Edition), James Stewart, Brooks/Cole Publishing Co., Pacific Grove, CA. University bookstore or Amazon, Barnes&Noble.

Computer Lab: Attendance in a weekly computer lab is required; available sections are listed in the schedule of classes and on the math department's home page. Please register for a computer lab as soon as possible. Computer labs start on the first day of classes.

Examinations: There will be two seventy-five minute exams given during the term. They will be given in class, on Feb. 19 and on Mar. 26. There are no makeups for missed exams.

** exam 1 solutions in .dvi.ps.pdf .**

**  exam 2 review in .dvi  ,  .ps.pdf .**

** some  solutions  to this review (I only have these in .pdf format) **

Final Examination: There will be a three-hour final examination given at the end of the term which the university will schedule.  Watch for an announcement of the final exam date.

You must take the final examination at the time scheduled by the university; no final exams will be given earlier. In particular:
1.  If you have two final examinations scheduled at the same time, it is the responsibility of the other department to provide an alternate exam.
2.  Examinations will not be rescheduled because of travel arrangements. It is your responsibility to schedule travel appropriately.

Homework: Homework is assigned for each section covered, but will not be collected.  It is your responsibility to work all the problems listed.

Grading: The course grades will be computed as follows.

20% Computer lab
40% Two midterms (20% each)
40% Final exam
Recommended study schedule: Read the relevant sections of the book before the lecture. Attend the lecture. Review the book and your lecture notes. Do the homework.  Get together in groups and discuss the problems and lecture notes.

Help: Help is available if you have trouble with homework or lecture material.  Going to your classmates to discuss the problems is a great idea, but don't just ask a friend for the answers--discuss the problems and solutions with your classmates and make sure you understand.  My office hours are also a good place to get help, but if you are unable to attend them, you should go the Mathematics Help Room  (333 Milbank Hall, on the Barnard campus). This room is always staffed by at least one mathematics professor or graduate student Monday through Friday during business hours. You may drop by whenever the Help Room is open; no appointment is necessary.

Schedule of Lectures

 This schedule is tentative and may be modified as the course progresses. Please read the relevant textbook sections before the lecture.
 
Week Read Homework
Jan. 22 §11.1 §11.1: 15, 16, 18, 19, 20, 21, 24, 26, 28, 31, 32, 37, 52, 54, 56, 57, 60, 63, 66
Jan. 27, 29 §11.2, §11.3 , §11.4 §11.2: 9, 18, 21, 22, 26, 29, 42, 52(a), 62, 63, §11.3: 3, 5, 13, 22, 33, 35, §11.4: 5, 8, 11, 12, 39, 43
Feb. 3, 5 §11.5, §11.6 , §11.7 §11.5: 5, 7, 12, 19, 24, 31, 32, §11.6: 2, 10, 16, 25, 31, §11.7 : 2, 3, 8, 29, 30, 33
Feb. 10, 12 §11.8, §11.9, §11.10 §11.8: 4, 26, 27, 30, 35, 39, §11.9: 10, 11, 17, 32, 39, §11.10: 4, 14, 21, 25, 28, 36, 45, 48, 51, 54, 58
Feb. 17, 19 §11.11, §11.12
Exam 1, Feb. 19
§11.11: 7, 11, 15, §11.12 : 16(a),(b), 19(a),(b), 24, 26
Feb. 24, 26 §10.1, §10.2, §10.3, §10.4, §10.1 : 3, 6, 8, 14, 22, 28, 34, §10.2: 3, 8, 14, 20, 27, 33, 36, §10.3: 4, 8, 18, 25, 32,  §10.4: 12, 24, 32, 35, 37, 39, 44, 56, 57, 63,
Feb. 25* Last day to drop** just a reminder, not a lecture day
Mar. 3, 5 §10.5, §12.1, §12.2 §10.5: 6, 11, 19, 25, 30, 40, 46, 56, §12.1: 9, 15, 19, 36, 40, 41, §12.2: 6, 20, 33, 37 
Mar. 10, 12 §12.3, §12.4 , §12.5, §12.6 §12.3: 1, 12, 26, 44, 45, 53, 54, 56, 60, §12.4: 9, 11, 15, 26, 31, 34, 39, 40, 42, §12.5:1, 10, 18, 30, 50, 68, §12.6: 16, 21-28, 33, 42, 43, 46
Mar. 17--21 Spring Break No classes
Mar. 24, 26 §12.7, review
Exam 2, Mar. 26
§12.7: 36, 40, 53, 60, 61
Mar. 31, Apr. 2 §13.1, §13.2,  §13.3, §13.1: 3, 14, 21, 29, 30, §13.2: 7, 18, 24, 32, 36, 40, 47, §13.3: 4, 7, 10, 13, 16, 25, 30, 34, 36, 
Apr. 7, 9 §13.4, §14.1 , §14.2, §13.4:11, 16, 19, 22, 33, 35, §14.1: 16, 27, 30, 44, 59, §14.2 : 10, 13, 20, 30, 38, 
Apr. 14, 16 §14.3,§14.4 , §14.5 §14.3: 34, 39, 44, 54, 56, 65, 67, 79, 84, §14.4: 5, 14, 17, 25, 32, 41, §14.5 : 6, 19, 33, 34, 36, 40, 45, 54 
Apr. 21, 23 §14.6, §14.7 §14.6: 16, 25, 39, 47, 50, 53, 59, §14.7: 4, 7, 15, 29, 34, 37, 40, 48
Apr. 28, 30 §14.8 §14.8: 5, 6, 9, 12, 16, 19, 23, 28, 36, 41 
May 5--8 make up / review Last day of classes/Reading period
May 9--16 Final exam, TBA
*     its tuesday
**  except Columbia College class of 2003