Calculus II

MTH 232, Section 17668, Spring 2024

Mon-Wed 10:10 - 12:05, 1S-115

Information	Schedule	Policies	Useful Links		Webwork	Blackboard	Department of Mathematics

Instructor: Abhijit Champanerkar
Office: 1S-230
Phone: 718-982-3613
Email :
Office Hours: Mondays & Wednesdays 12:15 - 1:45 pm
Class Homepage: http://www.math.csi.cuny.edu/abhijit/232/
Academic Calendar

Course Information

Goals: The goal of this course is to develop proficiency in problem solving and applications of integration of single variable real-valued functions, develop understanding of sequences, series, polar coordinates, and parametric representation of curves.

Course description: This is the second of a three-semester sequence in calculus. Topics include areas between curves, volumes of solids of revolution, techniques of integration, sequences and series, improper integrals, polar coordinates, and parametric representation of curves. Prerequisite: MTH 230, MTH 231 or equivalent.


Text Book: Calculus: Early Transcendentals , by Rogawski, Adams & Franzosa, 4th Edition, W. H. Freeman & Co. (2019), ISBN: 9781319411671 (e-book ISBN: 9781319411657)

Syllabus: We will cover topics from Chapters 5, 6, 7, 8, 10 & 11. The tentative course schedule and homework problems assigned from the book are listed on the course outline.

Homework, Quizzes and Exams: The course grade will be calculated using a combination of homework, quizzes and exams.

• Homework on WebWork Homework problems must be submitted online via WebWork, which is a computer graded homework system.
• In-class quizzes We will have a short in-class quizzes in most weeks based on topics covered in the previous classes.
• Exams There will be 2 exams during the semester and a comprehensive Final exam at the end of the semester. Here are the tentative dates:
  • Exam 1: Wednesday March 6th, Review: Monday March 4th
  • Exam 2: Wednesday April 17th, Review: Monday April 15th
  • Final Exam: TBA

Grading: The course grade will be determined as follows:

• Exams 1 and 2 - 20% each exam
• Final Exam - 35%
• Homework - 15 %
• Quizzes - 10%

Missing the Final exam will result in an F grade. You must take the final exams at the time scheduled by the university. Any changes to the grading policy will be announced in the class.

Help

• For help and question please use my office hours or email me with questions.
• You can also use the Math tutoring labs. Please check the following links for more information:
  • CASA Tutoring 1L-117
  • Math Tutoring Lab 1S-214

  Method of Study: Attend class. Read the textbook. Do the homework and Webwork problems. Discuss and talk to other students. Use my office hours or email me to ask questions. Solve the review sheets for the Exams.

  
  

Topics, Classworks & Other Resources

Here is a tentative list topics covered by date, related classworks and other resources. Course outline.

Class	Day	Date	Topic	Quiz/Classwork
1	Mon	Jan 29	Review - Chapter 5 Integration
2	Wed	Jan 31	6.1 Area between two curves
3	Mon	Feb 5	6.2 Volume, Average value
4	Wed	Feb 7	6.3 Volume of revolution
	Mon	Feb 12	No class
5	Wed	Feb 14	6.4 Cylindrical shells
	Mon	Feb 19	No class
6	Wed	Feb 21	7.1 Integration by parts
7*	Thurs	Feb 22	7.2 Trigonometric integrals
8	Mon	Feb 26	7.3 Trigonometric substitution
9	Wed	Feb 28	7.5 Partial fractions
10	Mon	Mar 4	7.6 Strategies for integration Review for Exam 1
11	Wed	Mar 6	Exam 1
12	Mon	Mar 11	7.7 Improper integrals
13	Wed	Mar 13	10.1 Sequences
14	Mon	Mar 18	10.2 Series
15	Wed	Mar 20	10.3 Convergence of positive series
16	Mon	Mar 25	10.4 Absolute and conditional convergence
17	Wed	Mar 27	10.5 Ratio and root tests
18	Mon	Apr 1	10.6 Power series
19	Wed	Apr 3	10.7 Taylor polynomials
20	Mon	Apr 8	10.8 Taylor series
21	Wed	Apr 10	8.2 Arc length and surface area
22	Mon	Apr 15	Review for Exam 2
23	Wed	Apr 17	Exam 2
		Apr 22-30	Spring Break
24	Wed	May 1	11.1 Parametric equations
25	Mon	May 6	11.2 Arc length and speed
26	Wed	May 8	11.3 Polar coordinates
27	Mon	May 13	11.4 Area in polar coordinates
28	Wed	May 15	Review for Final
			Final Exam TBA

* Please note that Thursday Feb 22nd is a CUNY Monday

Useful links

1. How to enter answers in Webworks
2. Free Math Tutoring Lab
3. Solving Equations
4. DESMOS online graphing calculator
5. Interactice Animations for Calculus  
6. Calculus.org  Explore this terrific website!
7. Videos: Patrick JMT
8. Videos: Khan Academy

Course Policies

• Attendance is mandatory.


• Cell phone usage of any kind during class and on exams is not allowed.


• Missing the Final exam will result in an F grade. Any changes to the grading policy will be announced in the class.


• You must take the Final exams at the time scheduled by the university.


• Students are not allowed to step out of the classroom during exams, except in case of emergencies.


• Academic dishonesty: Cheating in any form will not be tolerated. Please see CUNY Policy on Academic Integrity.


• Disability policy: Qualified students with disabilities will be provided reasonable academic accommodations if determined eligible by the Center for Student Accessibility. Please provide written verification of student's eligibility from the CSA. Prior to granting disability accommodations in this course, the instructor must receive written verification of student’s eligibility from the Center for Student Accessibility, which is located in 1P-101. It is the student’s responsibility to initiate contact with the Center for Student Accessibility staff and to follow the established procedures for having the accommodation notice sent to the instructor.