Department of Mathematics, College of Staten Island, City University of New York (CUNY)
Calculus III - MATH 233, Section D001 (35925): Fall 2021
Course Outline
Prof. Ilya Kofman
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Office:
1S-209
phone: (718) 982-3615 |
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Course Time and Place: |
Mondays and Wednesdays: 2:30pm - 4:25pm either on Blackboard when online, or in 1S-107 when in-person, on dates indicated below |
Textbook: You can rent or buy, new or used, from any store. You can use either the 3rd or 4th edition of this textbook:
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 on the syllabus 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
Grading: The course grade will be determined (subject to change announced in class) by your scores on Webwork, quizzes, exams and final exam. Without exception, you must take the final exam at the time scheduled by the college.
Help: My office hours are on Wednesdays 12-2:30pm 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.) Use the Blackboard discussion board or 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.
| Class | Topic | Section |
| 25-Aug online | Vectors, Dot product | 12.1, 12.2, 12.3, 3B1B-vectors and KA-dot product |
| 30-Aug online | Cross product, Lines and planes | 12.4, 12.5 |
| 1-Sep online | Lines and planes | 12.5 |
| 13-Sep in-person | QUIZ 1 on 12.1-12.5, Quadric surfaces | 12.6 |
| 20-Sep in-person | Calculus of vector-valued functions, arc length and speed | 13.1, 13.2, 13.3 |
| 22-Sep in-person | Limits and continuity in several variables, Partial derivatives | 14.1, 14.2, 14.3 |
| 27-Sep in-person | Review | 12.1 - 14.3 |
| 29-Sep in-person | EXAM 1 | |
| 4-Oct in-person | Differentiability and tangent planes, Gradient and directional derivatives | 14.4, 14.5 |
| 6-Oct in-person | Chain rule in several variables | 14.6 |
| 13-Oct in-person | Optimization in several variables | 14.7 |
| 18-Oct in-person | Lagrange multipliers | 14.8 |
| 20-Oct in-person | QUIZ 2 on 14.4-14.8, Integration in several variables | 15.1 |
| 25-Oct in-person | Double integrals over general regions | 15.2 |
| 27-Oct in-person | Triple integrals | 15.3 |
| 1-Nov in-person | Integration in polar, cylindrical, spherical coordinates | 12.7, 15.4 |
| 3-Nov in-person | Review | 14.4 - 15.4 |
| 8-Nov in-person | EXAM 2 | |
| 10-Nov in-person | Vector fields, Line integrals | 16.1, 16.2 |
| 15-Nov in-person | Conservative vector fields | 16.3 |
| 17-Nov in-person | Green's Theorem | 17.1 |
| 22-Nov in-person | Parametrized surfaces and surface integrals | 16.4 |
| 24-Nov online | Surface integrals of vector fields | 16.5 |
| 29-Nov in-person | Stokes' Theorem | 17.2 |
| 1-Dec in-person | Divergence Theorem | 17.3 |
| 6-Dec in-person | Review | 16.1 - 17.3 |
| 8-Dec in-person | QUIZ 3 on Ch 17 | |
| 13-Dec in-person | Final Exam Review | Ch 12 - 17 |
Past and Sample Exams:
Problems from past exams:
Other useful online resources
Interactive Gallery of Quadric Surfaces
Attendance policy: Attendance is mandatory. Unauthorized absences from four or more classes will result in a course grade of WU (Withdrew Unofficially).
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:
Important Dates: www.csi.cuny.edu/currentstudents/academiccalendars