Calculus III

MTH 233 [18211], Fall 2020

Mondays and Wednesdays, 2:30 - 4:25, Online on Blackboard

Course Information	Help	Course schedule	Blackboard	Homework on Achieve	Resources and Videos	Policies

Instructor: Professor Abhijit Champanerkar

Email : (Best way to contact me is online through Blackboard discussion boards or email.)

Academic Calendar

Course Information

Course description In this course we will cover multivariable calculus. Topics include vectors in dimensions two and three, vector-valued functions, limits & continuity, partial derivatives and gradient, optimization and Lagrange multipliers, intergration in several variables, polar, spherical and cylindrical co-ordinates, vector fields, line integrals, surface intergrals, Green's, Stokes and Divergence theorems. Learning Goals

Prerequisite MTH 232.

Text Book We will use the book Calculus – Early Transcendentals by Rogawski, Adams & Franzosa, 4th Edition. W. H. Freeman & Co. (2019). ISBN# 978-1-319-05074-0. If you have a previous edition of the textbook, that will also work for this class. If you need to buy the book you can contact the college bookstore or any other online used book store.

The online homework system we will be using for this class is called Achieve and is developed by the publishers of our text book. Due to special circumstances this Fall, students enrolled in MTH 233 will get free access to Achieve. Note that Achieve has online access to the textbook. See Help with Achieve for Calculus.

Please follow these instructions to set up an account on Achieve.

Course Syllabus We will cover Chapters 12 to 17. The topicwise course outline is given here. See below for list of topics by dates for this semester.


Online class participation - attendance, interaction and meetings :

• Attendance for online classes is mandatory. Students are allowed 3 excused absences.
• Each student is required to meet with me online at least 3 times during the semester - once in second week of classes, once after each exam. I will announce the office hours for these student meetings.
• Topicwise discussion boards will be set up to discuss questions on homework and other course-related issues. Although not required, students are encouraged to interact with the instructor and with other students by posting and answering questions. student interaction.
• Student participation in form of attendance and meetings with me will count towards 5% of the course grade.

Homework, Quizzes and Exams

• Homework will be posted and graded through the online homework system called Achieve which is developed by the publishers of our text book. Due to special circumstances this Fall, students enrolled in MTH 233 will get free access to Achieve. Please follow these instructions to set up an account on Achieve.
• Quizzes will be held every week in most non-exam weeks starting from second week towards end of the Wednesday class. Quizzes will be held on Blackboard or Achieve and may require students to upload a pdf of their work. See below for smartphone apps to upload pdfs.
• Exams: There will be 2 exams during the semester and a Final exam at the end of the semester. Here are the tentative dates:
  • Exam 1: Wednesday Oct 7th, Review: Monday Oct 5th
  • Exam 2: Wednesday Nov 18th Wednesday Nov 11th Review Monday Nov 16th Monday Nov 9th
  • Final Exam: TBA

Grading: The course grade will determined as follows:

• Exams 1 and 2 - 20% each exam
• Final Exam - 25%
• Homework - 20 %
• Quizzes - 10%
• Attendance and meetings - 5%

Help

• Help with questions on course material or homework should posted on the relevant discussion boards. I will check the discussion boards regularly and respond to questions in a timely manner.
• Class notes, videos and other course material e.g. quiz solutions or sample exams etc will be posted on a central repository at Resources and Videos page. These will be accessible through Blackboard and keep getting updated as the course progresses.
• Free online tutoring may be available through Blackboard Collaborate. Please check the following link for more information: Online Tutoring
• Technology requirements: A good working computer, Up to date software, A webcam, microphone, and speakers (or headphones), A fast, reliable internet connection. This courses will rely on the use of Blackboard Learn so you will need to check the browser and operating system requirements. See Frequently asked questions (FAQ) to help you navigate the Fall semester
• Are you Ready to Learn Online at CSI ?
• Blackboard Help
• Help with Achieve for Calculus
• PDF scanning You will sometimes need to upload pdfs of your written work to Blackboard. You may use a scanner, or your smartphone: Instructions for iphones, or Android scanning apps

Course schedule

• Here is a tentative list of topics by dates for this semester. The topics roughly follow the course outline.
• Class notes and videos will be posted on Resources and Videos page (accessible through Blackboard).
• Check Achieve for online homework and due dates.

Week	Class	Day	Date	Topic	Homework due date
1	1/2	Wed	Aug 26	12.1-12.2 Vectors	Check Achieve
2	3/4	Mon	Aug 31	12.3 Dot product
2	5/6	Wed	Sept 2	12.4 Cross product	Check Achieve
3		Mon	Sept 7	No classes
3	7/8	Wed	Sept 9	12.5-12.6 Planes in 3-space and quadric surfaces
4	9/10	Mon	Sept 14	13.1-13.2 Vector-valued functions
4	11/12	Wed	Sept 16	13.3 Arc Length and speed
5	13/14	Mon	Sept 21	14.1-14.2 Function, limits and continuity
5	15/16	Wed	Sept 23	14.3 Partial derivative
6		Mon	Sept 28	No classes
6	17/18	Tues	Sept 29	14.4 Differentiability and Tangent planes
6	19/20	Wed	Sept 30	14.5 Gradient and directional derivatives
7	21/22	Mon	Oct 5	Review for Exam 1
7	23/24	Wed	Oct 7	Exam 1
8		Mon	Oct 12	No classes
8	25/26	Wed	Oct 14	14.6 Chain Rule
9	27/28	Mon	Oct 19	14.7 Optimization
9	29/30	Wed	Oct 21	14.8 Lagrange Multipliers
10	31/32	Mon	Oct 26	15.1 Integration in several variables
10	33/34	Wed	Oct 28	15.2 Double Integrals
11	35/36	Mon	Nov 2	15.3 Triple Integrals
11	37/38	Wed	Nov 4	15.4 Integration in other co-ordinates
12	39/40	Mon	Nov 9	16.1-16.2 Vector fields and Line Integrals
12	41/42	Wed	Nov 11	16.3-16.4 Convervative Vector Fields, Parametrized surface
13	43/44	Mon	Nov 16	Review for Exam 2
13	45/46	Wed	Nov 18	Exam 2
14	47/48	Mon	Nov 23	16.5 Surface Integrals
14		Wed	Nov 25	No class (Friday schedule)
15	49/50	Mon	Nov 30	17.1 Greens Theorem
15	51/52	Wed	Dec 2	17.2 Stokes Theorem
16	53/54	Mon	Dec 7	17.3 Divergence Theorem
16	55/56	Wed	Dec 9	Review for Final Exam
				Final Exam TBA

Policies

Course policy: Without exception you must pass all the exams to pass this course. 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.

CUNY policy about the recording of remote classes : Students who participate in this class with their camera on or use a profile image are agreeing to have their video or image recorded solely for the purpose of creating a record for students enrolled in the class to refer to, including those enrolled students who are unable to attend live. If you are unwilling to consent to have your profile or video image recorded, be sure to keep your camera off and do not use a profile image. Likewise, students who un-mute during class and participate orally are agreeing to have their voices recorded. If you are not willing to consent to have your voice recorded during class, you will need to keep your mute button activated and communicate exclusively using the "chat" feature, which allows students to type questions and comments live.

Academic dishonesty and Digital etiquette: Cheating in any form will not be tolerated. Please see CUNY Policy on Academic Integrity. Online cheating will be dealt with severely. Please be aware of proper online class behavior. In the online virtual classroom repeated offenses will result in being barred from participation in the class.

Disability policy: Qualified students with disabilities will be provided reasonable academic accommodations if determined eligible by the Center for Student Accessibility. 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.