Prof. Ilya Kofman
Email: ikofman
math.csi.cuny.edu
Website: http://www.math.csi.cuny.edu/~ikofman/
Prof. Ilya Kofman |
Office: 1S-209 phone: (718) 982-3615
Email: ikofman math.csi.cuny.edu
Website: http://www.math.csi.cuny.edu/~ikofman/ |
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Mondays: 12:20pm - 2:15pm in 1S-218 Wednesdays: 12:20pm - 2:15pm in 1S-115 |
Textbook: Jon Rogawski, Calculus: Early Transcendentals, W. H. Freeman & Co. (2008)
ISBN-13: 978-1-4292-1073-7
ISBN-10: 1-4292-1073-7
Note: The above textbook includes multi-variable calculus. If you do NOT intend to take
MTH 233, you may instead purchase Rogawski, Single Variable Calculus: Early Transcendentals.
Homework: Answers to odd-numbered 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 4:30-5:30pm, and Wednesdays 3:30-5pm in my office, 1S-209.
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 1-3 | ||
| 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!