This is a
Verrazanodesignated honors course section open to
students in The Verrazano School
honors program
and other students with a 3.0
cumulative GPA or higher.
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 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
Exams: There will be two inclass exams, Exam 1 on Monday, March 9 and Exam 2 on Monday, April 27.
Grading: The course grade will be determined as follows (subject to change announced in class): 30% Webwork 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 Spring 2015 Solutions to Exam 1 Spring 2015
Exam 2 Spring 2015 Solutions to Exam 2 Spring 2015
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
Exam 1 Spring 2013.
Sample Exam 1
Exam 2 Spring 2013.
Sample Exam 2 with solutions
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.
The schedule below may change as the course progresses.
Date 
Section 
Topic 
Homework
Problems 
Jan
28 
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 
Feb
2 
5.6 
Review: Integration by substitution 
27,
33, 36, 49, 58, 69 

5.6 5.7 
Review: Integration by substitution Integrating
transcendental functions 
5.7/ 3, 13, 16, 44 
Feb
4 
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 
Feb
9 
6.2 
Volume,
Average value 


6.3 
Volume
of revolution 
1,
3, 5, 7, 9, 11, 22 
Feb
11 
6.3 
Volume
of revolution 


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

7.1 
Integration
by parts 

Feb
23 
7.2 
Trigonometric
integrals 
1,
3, 5, 9, 11, 20, 25 

7.2 
Trigonometric
integrals 

Feb
25 
7.3 
Trigonometric
substitution 
1,
3, 5, 15, 18, 21, 27 

7.3 
Trigonometric
substitution 

Mar
2 
7.5 
Partial
fractions 
1, 9, 12, 14, 17, 22,
32, 55 

7.5 
Partial
fractions 

Mar
4 

Review 



Review 

Mar
9 

Exam
1 



Exam
1 

Mar
11 
7.6 
Improper
integrals 
12,
15, 21, 23, 47, 48, 61, 63 

7.6 
Improper
integrals 

Mar
16 
8.4 

1,
3, 7, 9, 14, 25 

8.4 


Mar
18 
10.1 
Sequences 
16,
18, 23, 28, 31, 39,
45, 57, 58, 60 

10.1 
Sequences 

Mar
23 
10.2 
Series 
11,
12, 25, 26, 27, 30, 34, 37, 48 

10.2 
Series 

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

10.3 
Convergence
of positive series 

Mar
30 
10.4 
Absolute
and conditional convergence 
3,
6, 11, 13, 15, 19, 23 

10.4 
Absolute
and conditional convergence 

Apr
1 
10.5 
Ratio
and root tests 
5,
7, 11, 15, 25,
39, 41, 43, 48, 53, 56 

10.5 
Ratio
and root tests 

Apr
13 
10.6 
Power
series 
1,
9, 16, 20,
23, 28, 31, 35, 39 

10.6 
Power
series 

Apr
15 
10.7 

4,
5, 9,
12, 31, 32 

10.7 


Apr
20 
8.1 
Arc
length and surface area 
7,
9, 11, 13, 15, 21, 38, 46 

8.1 
Arc
length and surface area 

Apr
22 

Review 



Review 

Apr
27 

Exam
2 



Exam
2 

Apr
29 
11.1 
Parametric
equations 
11,
13, 15,
17, 19, 21, 27, 28, 46, 49 

11.1 
Parametric
equations 

May
4 
11.2 
Arc
length and speed 
3,
5, 16, 31,
32 

11.2 
Arc
length and speed 

May
6 
11.3 
Polar
coordinates 
3,
5, 13, 20, 24,
28, 31, 43 

11.3 
Polar
coordinates 

May
11 
11.4 
Area
in polar coordinates 
9,
10, 13, 16, 26 

11.4 
Area
in polar coordinates 

May
13 

Final
review 



Final
review 

Other useful online resources:
Online calculus lessons from Khan Academy
Calculus.org Explore this terrific website!
WolframAlpha.com Great online tool!
Verrazano Program Goals: This
course section will address the following Verrazano program goals through one
or more special components, which may include oral presentations, learning
outside the classroom through field trips, service projects, or research,
independent research, guest speakers, exploration of interdisciplinary
connections between the course content and other fields of study, and active
learning such as students leading class discussions.
·
To
foster critical thinking, scientific inquiry, problemsolving skills, and
integrative crossdisciplinary work.
·
To
promote academic excellence and indepth disciplinary knowledge. To advance career opportunities through
professional development.
·
To
create intellectually curious learners with a strong sense of personal
integrity.
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