Prof. Ilya Kofman 
Office: 1S209 phone: (718) 9823615
Email: ikofmanmath.csi.cuny.edu Website: http://www.math.csi.cuny.edu/~ikofman/ 
Course Time and Place: Mondays and Wednesdays 12:20pm  2:15pm in 1S115
Textbook: Jon Rogawski, Calculus: Early Transcendentals, Second Edition, W. H. Freeman & Co. (2012) ISBN13: 9781429208383 ISBN10: 1429208384
Homework: Answers to oddnumbered exercises are in the back of the book. I highly recommend working jointly on homework problems with fellow students. The homework problems in bold below have matching Webwork problems, which must be submitted online. To pass this course, the Webwork problems are the minimum requirement; to earn an excellent grade, you will have to do the other assigned problems in your textbook.
Webwork: Webwork is a free online system that provides individualized homework problems, gives immediate feedback, and allows you to correct mistakes until the due date. Later, you can see detailed solutions online. Webwork is required in this course, and it is a major part of your grade. Webwork website
MATLAB: Computeralgebra software available online through CSI. Five MATLAB projects, with due dates listed below, are described in a project booklet (PDF). MATLAB login.
Exams: There will be two inclass exams, Exam 1 on Monday, March 4 and Exam 2 on Wednesday, April 17.
Grading: The course grade will be determined as follows: 25% Webwork, MATLAB, and quizzes + 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 college.
Help: My office hours are on Mondays and Wednesdays 1112:15pm in my office, 1S209. Also, free math tutoring is available.
How to Study: (1.) Come to class (attendance is mandatory). (2.) Read the relevant sections after class. (3.) Do the homework. Leave yourself time to think about it! (4.) Compare your solutions with other students. (5.) Come to my office hours or the help room with any remaining questions.
Calculator: A graphing calculator is recommended, and you need to know how to use it. Graphing calculator manual with exercises and solutions.
The schedule below may change as the course progresses.
Date  Section  Topic  Homework Problems Webwork website 
Jan 28 
5.3 5.4 
Review: Fundamental Theorem of Calculus 
5.3/ 10, 14, 30, 33, 45, 47, 55 5.4/ 17, 29, 32, 35, 39, 43 

5.6 
Review: Integration by substitution 
27, 29, 36, 39, 52, 69 
Jan 30 
5.7 
Review: Integration of transcendental functions 
3, 13, 16, 44 MATLAB 1: Intro to Symbolic Math 

6.1 
Area between two curves 
1, 3, 5, 7, 9, 13, 14 
Feb 4 
6.2 
Volume, Average value 
1, 5, 9, 11, 13, 14, 39, 41, 57 
Feb 6 
6.3 
Volume of revolution 
1, 3, 5, 7, 9, 11, 21 MATLAB 2: Applications of Integration 

6.4 
Cylindrical shells 
1, 4, 8, 9, 15, 17, 21, 26 
Feb 11 
7.1 
Integration by parts 
3, 4, 5, 7, 13, 18, 25 
Feb 13 
7.2 
Trigonometric integrals 
1, 3, 5, 9, 11, 20, 25 
Feb 20 
7.3 
Trigonometric substitution 
1, 3, 5, 15, 18, 21, 27 
Feb 25 
7.5 
Partial fractions 
1, 9, 12, 14, 22, 23, 55 MATLAB 3: Integration 
Feb 27 
Review 
Sample Exam 1  
Mar 4 
Exam 1 

Mar 6 
7.6 
Improper integrals 
15, 21, 23, 47, 48, 61, 63 

8.3 
Center of mass 
11, 13, 17, 21, 25, 28, 30 
Mar 11 
8.4 
Taylor polynomials 
1, 3, 4, 9, 10, 25 MATLAB 4: Taylor Polynomials 
Mar 13 
10.1 
Sequences 
16, 18, 24, 31, 39, 45, 57, 56, 60 
Mar 18 
10.2 
Series 
11, 12, 23, 24, 27, 31, 34, 37, 46 
Mar 20 
10.3 
Convergence of positive series 
3, 5, 7, 10, 12, 22, 25, 26, 51, 57, 80 

10.4 
Absolute and conditional convergence 
3, 6, 11, 12, 15, 23 
Apr 3 
10.5 
Ratio and root tests 
5, 7, 11, 13, 15, 25, 43, 48, 53, 56 
Apr 8 
10.6 
Power series 
1, 9, 16, 20, 23, 25, 35, 39 
Apr 10 
10.7 
Taylor series 
3, 9, 14, 30, 32 
Apr 15 
Review 
Sample Exam 2 with solutions, and another sample exam (16,8,14,15,18,19,22) with solutions. And another sample exam (17) with solutions. Still another sample exam (5,6,810) with solutions.  
Apr 17 
Exam 2 

Apr 22 
8.1 
Arc length and surface area 
7, 9, 11, 13, 15, 21, 38, 46 
Apr 24 
11.1 
Parametric equations 
11, 13, 15, 17, 19, 21, 27, 28, 46, 49 

11.2 
Arc length and speed 
3, 5, 16, 31, 32 
Apr 29 
11.3 
Polar coordinates 
3, 5, 13, 20, 24, 28, 31, 43 MATLAB 5: Polar Graphs 

11.4 
Area and arc length in polar coordinates 
9, 10, 13, 16, 26 
May 1 
12.1 
Vectors in the plane 
17, 21, 23, 31, 40, 42, 46, 49, 52, 55 

12.2 
Vectors in three dimensions 
11, 25, 29, 47, 52, 56 
May 6 
12.3 
Dot product 
25, 31, 46, 49, 54, 72, 80 
May 8 
12.4 
Cross product 
11, 14, 20, 23, 38, 44, 53 
May 13 
12.5 
Planes in threespace 
3, 13, 19, 21, 34, 36, 48, 57, 59 
May 15 
Review 
Other useful online resources:
Online calculus lessons from Khan Academy
Calculus.org Explore this terrific website!