This page is
www.math.columbia.edu/~bayer/S00/calculus.html
Prerequisites: Math
V1101 Calculus 1A or the equivalent.
Text:
Calculus, Early Transcendentals
fourth edition,
by James Stewart.
Brooks/Cole Publishing Company,
Pacific Grove, 1999. ISBN 0534362982.
University bookstore or
Amazon,
Barnes&Noble,
AddALL.
Exams: There will be two exams (25 points each) and a final (40 points).
Homework (10 points) will be collected and graded; late homework will not be accepted.
First Exam, Monday, February 28, in class.
Second Exam, Monday, April 10, in class.
Final, Wednesday, May 10, 1:10pm-4:00pm.
These dates do not coincide with any religious holiday which causes suspension of
New York City's alternate side parking regulations; see
NYC Parking Calendar.
See also bnaibrith.org/caln.html.
Please discuss other conflicts with me well in advance of the exam in question.
Master University Examination Schedule
1999-2000 University Academic Calendar
Course materials: Course materials are posted in Acrobat PDF format. Your browser
can be trained to automatically open these files with Acrobat Reader, a free program which you can
download from http://www.adobe.com/products/acrobat/readermain.html.
Help Room
The
Mathematics Help Room, located in 333 Milbank, Barnard campus, is staffed by instructors and
teaching assistants who offer assistance to students taking first-year calculus courses.
Office Hours
My office hours for the Spring 2000 semester are
Mondays, 1:30pm-2:30pm
Wednesdays, 4:00pm-5:00pm
and by appointment.
Class Schedule and Homework Assignments
(Subject to change. Assignments become final one week before due date.)
Wednesday, January 19
7.1: Integration by parts
Monday, January 24
Wednesday, January 26
Monday, January 31
7.4: Integration of rational functions by partial fractions
Homework #1 due:
7.1, pp.472-476: 1, 4-6, 10, 12, 17, 18, 29, 30, 41, 42, 59.
7.2, pp.482-483: 1, 6, 9, 20, 41, 42, 63, 64.
Wednesday, February 2
7.5: Strategy for integration
Monday, February 7
7.7: Approximate integration
Homework #2 due:
7.3, pp.488-489: 2, 4, 7, 11, 19, 20, 31 (a).
7.4, pp.498-499: 1, 2, 7, 13-19, 29, 57, 58, 60.
Wednesday, February 9
Monday, February 14
8.1: Arc length
Homework #3 due:
7.5, pp.504-505: 1, 17, 59, 61, 69.
7.7, pp.520-521: 1, 2, 5-10. 31-35.
7.8, pp.531-533: 2, 5, 6, 10, 13-16, 20, 29, 49, 51, 57, 58.
Wednesday, February 16
8.2: Area of a surface of revolution
8.5: Probability
Monday, February 21
Review
Homework #4 due:
8.1, pp.546-547: 1, 2, 7, 8, 17, 22-24.
8.2, pp.552-553: 1, 2, 5-7, 9, 15, 16, 27, 28.
8.5, pp.574-575: 1, 2, 4, 10, 12, 13.
Wednesday, February 23
Monday, February 28
Wednesday, March 1
10.1: Curves defined by parametric equations
10.2: Tangents and areas
10.3: Arc length and surface area
Monday, March 6
10.4: Polar coordinates
10.5: Areas and lengths in polar coordinates
Homework #5 due:
10.1, pp. 645-647: 1, 8, 11, 16, 18, 19
10.2, pp. 653-654: 1, 6, 9
Wednesday, March 8
11.1: Sequences
11.2: Series
Monday, March 13
Wednesday, March 15
Monday, March 20
11.3: The integral test and estimates of sums
Homework #6 due:
10.3, pp. 659-660: 3, 5, 8, 21, 25.
10.4, pp. 668-670: 5, 25, 44, 56.
10.5, pp. 674-675: 5, 7, 8, 21, 45, 47.
11.1, pp. 703-704: 3-8, 15, 16, 19, 21, 52, 53.
11.2, pp. 711-713: 11-22, 35, 36, 41, 45.
Wednesday, March 22
11.4: The comparison tests
Monday, March 27
11.5: Alternating series
Homework #7 due:
11.3, pp. 720-721: 1, 2, 3-8, 9-12, 17, 20, 25, 29.
11.4, pp. 725-726: 3, 4, 9, 21, 22, 29, 37, 38.
Wednesday, March 29
11.6: Absolute convergence and the ratio and root tests
11.7: Strategy for testing series
Monday, April 3
Review
Homework #8 due:
11.5, pp. 730-731: 2-4, 9, 23, 24, 28, 32.
11.6, pp. 736-737: 2, 3, 5, 11, 15.
11.7, p. 739: 8, 14, 16, 19, 34.
Wednesday, April 5
Monday, April 10
Wednesday, April 12
11.8: Power series
11.9: Representations of functions as power series
Monday, April 17
11.10: Taylor and Maclaurin series
Homework #9 due:
11.8, pp. 744-745: 3-6, 11, 12.
11.9, pp. 749-750: 2-6, 13-20, 25-27.
Wednesday, April 19
11.11: The binomial series
11.12: Applications of Taylor polynomials
Monday, April 24
9.1: Modeling with differential equations
9.2: Direction fields and Euler's method
Homework #10 due:
11.10, pp. 760-761: 3-8, 21-30, 37, 38, 41, 42, 45-47, 53-58.
11.11, pp. 764-765: 1-4, 11, 17.
11.12, pp. 772-774: 13, 14, 18, 19, 25-28.
Wednesday, April 26
9.3: Separable equations
9.4: Exponential growth and decay
Monday, May 1
Review
Homework #11 due:
9.1, pp. 585-586: 1-3, 7, 9.
9.2, pp. 593-594: 3-6.
9.3, pp. 600-602: 1-4, 9-11, 14, 29.
9.4, pp. 610-611: 1, 3, 4, 8, 13, 19.
Wednesday, May 10
Final Exam, 1:10pm-4:00pm