Calculus III - Math 233 (Section 6935):  Fall 2008

Prof. Ilya Kofman

Office:   1S-209   phone: (718) 982-3615

Course Time and Place:

Mondays    12:20pm - 2:15pm   in 1S-219

Wednesdays    12:20pm - 2:15pm   in 1S-107

Textbook Homework



Textbook:  Larson, Hostetler, Edwards, Calculus, Eighth Edition, 2006, which contains both single and multivariable calculus.

Homework:  Problems assigned from the textbook are listed on the syllabus. Any changes or additional assignments will be announced in class and then posted on this website. Answers to odd-numbered exercises are in the back of the book. I highly recommend working jointly on homework problems with fellow students.

WebWork:  Computer-graded homework software that students are required to use in this course: Webwork website

MATLAB:  Powerful computer-algebra software available by Login through CSI. Four MATLAB projects are described in a project booklet, which you can get from me or available online. The due dates for the projects are listed on the syllabus.

Grading:  The course grade will be determined as follows:  25% Webwork, MATLAB, and other assignments + 45% Exams + 30% Final Exam.

Without exception, you must pass the exams to pass this course, and you must take the final exam at the time scheduled by the university.

Help:  My office hours are on Mondays and Wednesdays 4:30pm - 6pm in my office, 1S-209. Also, free math tutoring is available.

Optimal Method of Study:  (1.) Come to class (attendance is mandatory).  (2.) Read the relevant sections after class.  (3.) Do the homework.  (4.) Compare your solutions with other students.  (5.) Come to office hours or the help room with any remaining questions.

Exam 1 was on Wednesday, September 24, 2008.  Here are some sample problems for Exam 1  and   Solutions

Exam 2 was on Wednesday, October 22, 2008.  Here are some sample problems for Exam 2.

Exam 3 was on Monday, November 24, 2008.  Here are some sample problems for Exam 3.

The FINAL EXAM will be on Thursday, December 18, 2008 1:30pm-3:30pm in 3S-101.  Here are some sample problems for the Final Exam, and Solutions.

Example from class about the trajectory toward a tower.

Course topics:

  • 1  Vectors in the plane
  • 2  Space coordinates and vectors in space
  • 3  The dot product of two vectors
  • 4  The cross product of two vectors in space
  • 5  Lines in space
  • 6  Planes in space
  • 7  Surfaces in space
  • 8  Cylindrical and spherical coordinates
  • 9  Vector valued functions
  • 10 Differentiation and integration of vector valued functions
  • 11 Velocity and acceleration
  • 12 Tangent vectors and normal vectors
  • 13 Arc length and curvature
  • 14 Introduction to functions of several variables
  • 15 Limits and continuity
  • 16 Partial derivatives
  • 17 Differentials
  • 18 Chain Rules for functions of several variables
  • 19 Directional derivatives and gradients
  • 20 Tangent planes and normal lines
  • 21 Extrema of functions of two variables
  • 22 Lagrange multipliers
  • 23 Iterated integrals and area in the plane
  • 24 Double integrals and volume
  • 25 Change of variables, polar coordinates
  • 26 Surface area
  • 27 Triple integrals and applications
  • 28 Triple integrals in cylindrical and spherical coordinates

    Helpful links from elsewhere:

  • Review problems from a similar course (omit TF 12-15, Ex 12-15, 26-27).   Solutions.
  • Online calculus III textbook. (Lots of examples worked out.)