Department of Mathematics, College of Staten Island, City University of New York (CUNY)
Prof. Ilya Kofman

Office:
1S209
phone: (718) 9823615 
Course Time and Place: Mondays and Wednesdays 2:30pm  4:25pm in 1S107
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
JULIA: Computeralgebra software available free online and in the math computer
labs. Five JULIA projects, with due dates listed below, are described in a JULIA projects webpage (look for Calculus
II material).
Exams: There will be two inclass exams, Exam 1 on Wednesday, October 15 and Exam 2 on Wednesday, November 26.
Grading: The course grade will be determined as follows (subject to change announced in class): 30% Webwork, JULLIA, and quizzes + 40% 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 time to think about it! (4.) Come to my office hours or the help room with any remaining questions. (5.) To study for a math exam, you must DO MORE PROBLEMS from past exams, homework and textbook.
Past and Sample Exams:
Exam 1 Fall 2014 Solutions to Exam 1 Fall 2014
Quiz 1 Fall 2014 Solutions to Quiz 1 Fall 2014
Exam 2 Fall 2014 Solutions to Exam 2 Fall 2014
Quiz 2 Fall 2014 Solutions to Quiz 2 Fall 2014
The schedule below may change as the course progresses.
Date 
Section 
Topic 
Homework
Problems 
Sep
3 
5.2 
Review:
Definite integral 
9, 8, 13, 19, 23, 29, 41, 56, 83 

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 
Sep
8 
5.6 
Review: Integration by substitution 
27,
33, 36, 49, 58, 69 

5.6 5.7 
Review: Integration by substitution Integrating
transcendental functions 
JULIA 1: Intro to Symbolic Math 5.7/ 3, 13, 16, 44 
Sep
10 
6.1 
Area
between two curves 
1,
3, 6, 7, 9, 14, 17 

6.2 
Volume,
Average value 
1,
5, 9, 11, 13,
14, 39, 41, 45, 57 
Sep
15 
6.2 
Volume,
Average value 


6.3 
Volume
of revolution 
1,
3, 5, 7, 9, 11, 22 
Sep
17 
6.3 
Volume
of revolution 
JULIA 2: Applications of Integration 

6.4 
Cylindrical
shells 
1,
4, 8, 9, 15, 17, 21, 26 
Sep
22 
7.1 
Integration
by parts 
3,
4, 5,
7, 11, 13, 16, 18, 25, 49 

7.1 
Integration
by parts 

Sep
29 
7.2 
Trigonometric
integrals 
1,
3, 5, 9, 11, 20, 25 

7.2 
Trigonometric
integrals 

Oct
1 
7.3 
Trigonometric
substitution 
1,
3, 5, 15, 18, 21, 27 

7.3 
Trigonometric
substitution 

Oct
6 
7.5 
Partial
fractions 
1, 9, 12, 14, 17, 22,
32, 55 

7.5 
Partial
fractions 
JULIA
3: Integration Techniques 
Oct
8 

Review 



Review 

Oct
15 

Exam
1 



Exam
1 

Oct
20 
7.6 
Improper
integrals 
12,
15, 21, 23, 47, 48, 61, 63 

7.6 
Improper
integrals 

Oct
22 
8.4 

1,
3, 7, 9, 14, 25 

8.4 

JULIA
4: Taylor Polynomials 
Oct
27 
10.1 
Sequences 
16,
18, 23, 28, 31, 39,
45, 57, 58, 60 

10.1 
Sequences 

Oct
29 
10.2 
Series 
11,
12, 25, 26, 27, 30, 34, 37, 48 

10.2 
Series 

Nov
3 
10.3 
Convergence
of positive series 
3,
5, 7, 10, 12, 21, 25, 26, 51, 57,
80 

10.3 
Convergence
of positive series 

Nov
5 
10.4 
Absolute
and conditional convergence 
3,
6, 11, 13, 15, 19, 23 

10.4 
Absolute
and conditional convergence 

Nov
10 
10.5 
Ratio
and root tests 
5,
7, 11, 15, 25,
39, 41, 43, 48, 53, 56 

10.5 
Ratio
and root tests 

Nov
12 
10.6 
Power
series 
1,
9, 16,
20, 23, 28, 31, 35, 39 

10.6 
Power
series 

Nov
17 
10.7 

4,
5, 9,
12, 31, 32 

10.7 


Nov
19 
8.1 
Arc
length and surface area 
7,
9, 11, 13, 15, 21, 38, 46 

8.1 
Arc
length and surface area 

Nov
24 

Review 



Review 

Nov
26 

Exam
2 



Exam
2 

Dec
1 
11.1 
Parametric
equations 
11,
13, 15,
17, 19, 21, 27, 28, 46, 49 

11.1 
Parametric
equations 

Dec
3 
11.2 
Arc
length and speed 
3,
5, 16, 31,
32 

11.2 
Arc
length and speed 

Dec
8 
11.3 
Polar
coordinates 
3,
5, 13, 20, 24,
28, 31, 43 

11.3 
Polar
coordinates 
JULIA 5: Parametric Equations and Polar Coordinates 
Dec
10 
11.4 
Area
in polar coordinates 
9,
10, 13, 16, 26 

11.4 
Area
in polar coordinates 

Dec
15 

Final
review 



Final
review 

Other useful online resources:
Online calculus lessons from Khan Academy
Calculus.org Explore this terrific website!
Disability policy: Qualified students with disabilities will be provided reasonable academic accommodations if determined eligible by the Office for Disability Services. Prior to granting disability accommodations in this course, the instructor must receive written verification of student's eligibility from the Office of Disability Services, which is located in 1P101. It is the student's responsibility to initiate contact with the Office for Disability Services staff and to follow the established procedures for having the accommodation notice sent to the instructor.
Integrity policy: CUNY's Academic Integrity Policy is available online at http://www.cuny.edu/about/info/policies/academicintegrity.pdf