Department of Mathematics, College of Staten Island, City University of New York (CUNY)
Calculus II - MATH 232 (Section 17928): Fall 2014
Course Outline
Prof. Ilya Kofman
|
Office:
1S-209
phone: (718) 982-3615 |
Course Time and Place: Mondays and Wednesdays 2:30pm - 4:25pm in 1S-107
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
JULIA: Computer-algebra 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 in-class 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 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 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 |
|
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 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