Prof. Ilya Kofman 
Office: 1S209 phone: (718) 9823615
Email: ikofmanmath.csi.cuny.edu Website: http://www.math.csi.cuny.edu/~ikofman/ 

Mondays: 12:20pm  2:15pm in 1S218 Wednesdays: 12:20pm  2:15pm in 1S115 
Textbook: Jon Rogawski, Calculus: Early Transcendentals, W. H. Freeman & Co. (2008)
ISBN13: 9781429210737
ISBN10: 1429210737
Note: The above textbook includes multivariable calculus. If you do NOT intend to take
MTH 233, you may instead purchase Rogawski, Single Variable Calculus: Early Transcendentals.
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. Webwork is a free online system that provides individualized homework problems, gives immediate feedback, and allows you to correct mistakes until the due date. After the due date, you can see detailed solutions online. Webwork is required in this course, and it is a major part of your grade. Webwork website
Grading: The course grade will be determined as follows: 25% Webwork 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 university.
Help: My office hours are on Mondays 4:305:30pm, and Wednesdays 3:305pm in my office, 1S209.
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.
The schedule below may change as the course progresses.
Date  Section  Topic  Homework Problems Webwork website 
Aug 31  1.1  Functions and graphs  17, 49, 51, 63, 67, 70 
1.2  1.3  Linear and quadratic functions  1.2/ 21, 25, 29, 37, 39
1.3/ 23, 29, 31  
Sep 2  1.4  Trigonometric functions  3, 7, 19, 21, 23, 41 
1.5  Inverse functions  3, 17, 31, 33, 39, 43, 49  
Sep 9  1.6  Exponential and logarithmic functions  1, 7, 9, 25, 27, 29, 35 
2.1  Limits and rates of change  1, 7, 15, 23, 29, Zeno's Arrow  
Sep 14  2.2  Limits: Numerical and graphical  21, 23, 25, 27, 31, 37, 39, 45, 47, Limit paradox 
2.3  Limit laws  17, 19, 21, 25, 27, 29  
Sep 16  2.4  Continuity  1, 5, 19, 23, 25, 27, 55, 67, 73, 77, 79 
2.5  Evaluating limits algebraically  9, 15, 19, 25, 27, 39, 47, 49, 51  
Sep 21  2.6  Trigonometric limits  7, 9, 13, 23, 25, 27, 35, 41 
2.7  Intermediate Value Theorem  3, 5, 7, 9, 15  
Sep 23  2.8  Formal definition of a limit  1, 3, 5, 13, Java applet 
Review  Exam 1 S06 Exam 1 F07 Exam 1 F07 Solutions  
Sep 29  Exam 1  Exam 1 Solutions  
Sep 30  3.1  Definition of the derivative  7, 11, 13, 21, 23, 53, 55, 57 
3.2  Derivative as a function  11, 27, 39, 47, 49, 55, 57, 71  
Oct 5  3.3  Product and quotient rules  23, 31, 33, 35, 45, 51, 53 
3.4  Rates of change  5, 7, 9, 11, 13, 31, 33, 35  
Oct 7  3.5  Higher derivatives  13, 17, 19, 27, 29, 39, 41, 53 
3.6  Trigonometric functions  9, 13, 15, 17, 21, 37, 43  
Oct 14  3.7  Chain rule  5, 7, 11, 13, 19, 35, 39, 51, 77, 79, 93 
3.8  Implicit differentiation  5, 11, 17, 25, 31, 41, 43  
Oct 19  3.9  Derivatives of inverse functions  3, 7, 9, 11, 13, 15, 19, 23 
3.10  Derivatives of exponentials and logs  1, 7, 9, 15, 17, 27, 35, 43  
Oct 21  3.11  Related rates  3, 5, 9, 15, 17, 21, 25, 27, 29, 31 
3.11 cont'd  Related rates  
Oct 26  Review  Exam 2 S06 Exam 2 F07 Exam 2 F07 Solutions  
Oct 28  Exam 2  Exam 2 Solutions  
4.1  Linear approximation  9, 13, 15, 19, 31, 33, 41, 45, 49  
Nov 2  4.2  Extreme values  1, 7, 11, 15, 39, 47, 53, 61 
4.3  First derivative test  1, 13, 21, 23, 29, 33, 35, 39, 45, 51  
Nov 4  4.3 cont'd  First derivative test  
4.4  Second derivative test  1, 2, 5, 9, 13, 17, 29, 33, 43, 45, 57  
Nov 9  4.5  Graph sketching and asymptotes  1, 11, 21, 29, 49, 53, 57, 
4.5 cont'd  Graph sketching and asymptotes  63, 65, 67, 73, 75, 77  
Nov 11  4.6  Optimization  3, 5, 9, 11, 13, 15, 19, 21, 41, 43, 47 
4.6 cont'd  Optimization  
Nov 16  4.7  L'Hopital's Rule  27, 31, 33, 35, 43, 45, 47, 61 
4.8  Newton's method  1, 3, 7  
Nov 18  4.9  Antiderivatives  25, 27, 33, 43, 45, 65, 67, 69, 75 
Review  Exam 3 S06 Exam 3 F07 Exam 3 S06 Solutions Exam 3 F07 Solutions 13  
Nov 23  Exam 3  Exam 3 Solutions  
Nov 25  5.1  Approximating area  13, 15, 17, 21, 23, 27, 57 
5.2  Definite integral  9, 13, 17, 29, 37, 57, 83  
Nov 30  5.3  Fundamental Theorem of Calculus I  9, 17, 23, 27, 37, 43, 45, 51, 55, 57 
5.4  Fundamental Theorem of Calculus II  5, 15, 21, 23, 25, 31, 33, 37, 39, 43  
Dec 2  5.5  Net change  1, 3, 5, 7, 11, 13, 17 
5.6  Integration by substitution  33, 35, 37, 39, 43, 47, 51, 67, 69, 73, 75, 85, 91  
Dec 7  5.7  Integration of transcendental functions  3, 7, 13, 17, 43, 47, 57 
5.8  Exponential growth and decay  1, 5, 9, 11, 17, 23, 33, 41  
Dec 9  Review  Final exam F07  
Review  Final exam F07 Solutions 
Other useful online resources:
Calculus.org Explore this terrific website!