Prof. Ilya Kofman	Office:   1S-209   phone: (718) 982-3615 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 1S-115

Textbook:  Jon Rogawski, Calculus: Early Transcendentals, Second Edition, W. H. Freeman & Co. (2012)   ISBN-13: 978-1429208383     ISBN-10: 1429208384

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. 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:  Computer-algebra 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 in-class 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 11-12:15pm in my office, 1S-209. 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 (1-6,8,14,15,18,19,22) with solutions. And another sample exam (1-7) with solutions. Still another sample exam (5,6,8-10) 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 three-space	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!

Calculus online tutorial