This page is
www.math.columbia.edu/~bayer/S01/calculus
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
AddALL.
Exams: There will be two exams (30 points each) and a final (40 points).
- First Exam, Thursday, February 15, in class.
- Second Exam, Thursday, March 29, in class.
- Final, Thursday, May 10, 9:00am-NOON.
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
2000-2001 University Academic Calendar
Office Hours:
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.
See also Chia-Fu Yu's Fall 2000 Calculus IIIA
syllabus.
(TeX sources, for instructors wishing to borrow format:
midterm1_S01.tex.)
Class Schedule and Homework Assignments
Tuesday, January 16
10.1 Curves defined by parametric equations. Exercises 10, 11, 22, 29, 35, 36
Thursday, January 18
10.2 Tangents and areas. Exercises 3, 7, 10, 13, 17, 21, 31, 36, 42
Tuesday, January 23
10.3 Arc length and surface area. Exercises 3, 6, 21, 27, 30
Thursday, January 25
10.4 Polar coordinates. Exercises 35, 44, 46, 47, 58, 69
Tuesday, January 30
10.5 Areas and lengths in polar coordinates. Exercises 7, 7, 11, 17, 24, 32, 48
Thursday, February 1
10.6 Conic sections. Exercises 11, 19, 28, 32
10.7 Conic sections in polar coordinates. Exercises 13
Tuesday, February 6
12.1 Three-dimensional coordinate systems. Exercises 8, 9, 20
Thursday, February 8
12.2 Vectors. Exercises 6, 20, 29, 31
Tuesday, February 13
Thursday, February 15
Tuesday, February 20
12.3 The dot product. Exercises 7, 11, 18, 22, 24, 31, 39, 42, 47
12.4 The cross product. Exercises 2, 9, 23, 25, 30, 33, 34, 39
Thursday, February 22
12.5 Equations of lines and planes. Exercises 3, 8, 18, 24, 27, 30, 33, 49, 51, 61
Tuesday, February 27
12.6 Cylinders and quadric surfaces. Exercises 21-28, 44
Thursday, March 1
12.7 Cylindrical and spherical coordinates. Exercises 3, 5, 7, 8, 11, 13, 15, 17, 19, 21
Tuesday, March 6
13.1 Vector functions and space curves. Exercises 7-12, 14, 18, 21, 30
Thursday, March 8
13.2 Derivatives and integrals of vector functions. Exercises 4, 18, 21, 24, 32, 36
Tuesday, March 13
Thursday, March 15
Tuesday, March 20
13.3 Arc length and curvature. Exercises 2, 7, 11, 18, 30, 31, 43
Thursday, March 22
13.4 Motion in space: velocity and accelleration. Exercises 19, 21, 31
Tuesday, March 27
Thursday, March 29
Tuesday, April 3
14.1 Functions of several variables. Exercises 15, 18, 30, 37, 44
14.2 Limits and continuity. Exercises 13, 14, 18, 35, 40
Thursday, April 5
14.3 Partial derivatives. Exercises 26, 67, 69, 70, 79, 81, 85
Tuesday, April 10
14.4 Tangent planes. Exercises 12, 17, 33
Thursday, April 12
14.5 The chain rule. Exercises 5, 11, 13, 20, 29, 37, 51
Tuesday, April 17
14.6 Directional derivatives and the gradient vector. Exercises 9, 15, 21, 40, 50, 57
Thursday, April 19
14.7 Maximum and minimum values. Exercises 3, 6, 29, 31, 32, 40, 43
Tuesday, April 24
14.8 Lagrange multipiers. Exercises 4, 5, 16, 39, 41
Thursday, April 26
Thursday, May 10