This is a
Verrazano-designated 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)
Calculus II - MATH 232 (Section 6758): Spring 2015
Course Outline
Prof. Ilya Kofman
|
Office:
1S-209
phone: (718) 982-3615 |
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
Exams: There will be two in-class 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 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 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
(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.
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, problem-solving skills, and
integrative cross-disciplinary work.
·
To
promote academic excellence and in-depth 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 1P-101. 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/academic-integrity.pdf