Department of Mathematics, College of Staten Island, City University of New York (CUNY)
Calculus III - MATH 233, Section D001 (18640): Spring 2023
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 in 1S-102 |
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 Mondays and Wednesdays 1-2:15pm 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.
| Class | Topic | Section |
| Wed Jan 25 | Vectors, Dot product | 12.1, 12.2, 12.3, 3B1B-vectors and KA-dot product |
| Mon Jan 30 | Cross product, Lines and planes | 12.4, 12.5 |
| Wed Feb 1 | Lines and planes | 12.5 |
| Mon Feb 6 | QUIZ 1 | 12.1-12.5, Sample Quiz 1 |
| Wed Feb 8 | Quadric surfaces | 12.6, Quadric Gallery |
| Wed Feb 15 | Parametric curves, arc length and speed | 13.1, 13.2, 13.3 |
| Tues Feb 21 | Limits and continuity in several variables, Partial derivatives | 14.1, 14.2, 14.3 |
| Wed Feb 22 | Review | 12.1 - 14.3 |
| Mon Feb 27 | EXAM 1 | |
| Wed Mar 1 | Differentiability and tangent planes, Gradient and directional derivatives | 14.4, 14.5 |
| Mon Mar 6 | Chain rule in several variables | 14.6 |
| Wed Mar 8 | Optimization in several variables | 14.7 |
| Mon Mar 13 | Lagrange multipliers | 14.8 |
| Wed Mar 15 | QUIZ 2 | 14.4-14.8 |
| Mon Mar 20 | Double integrals | 15.1, 15.2 |
| Wed Mar 22 | Triple integrals | 15.3 |
| Mon Mar 27 | Integration in polar, cylindrical, spherical coordinates | 12.7, 15.4 |
| Wed Mar 29 | Review | 14.4 - 15.4 |
| Mon Apr 3 | EXAM 2 | |
| Mon Apr 17 | Vector fields, Line integrals | 16.1, 16.2 |
| Wed Apr 19 | Conservative vector fields | 16.3 |
| Mon Apr 24 | Green's Theorem | 17.1 |
| Wed Apr 26 | QUIZ 3 | 16.1-16.3, 17.1 |
| Mon May 1 | Parametrized surfaces and surface integrals | 16.4 |
| Wed May 3 | Surface integrals of vector fields | 16.5 |
| Mon May 8 | Stokes' Theorem | 17.2 |
| Wed May 10 | Divergence Theorem | 17.3 |
| Mon May 15 | 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 three 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 of Accessibility Services (OAS). Prior to granting disability accommodations in this course, the instructor must receive written verification of student's eligibility from OAS, which is located in 1P-101. It is the student's responsibility to initiate contact with the OAS staff and to follow the established procedures for having the accommodation notice sent to the instructor.
Integrity policy: No electronic devices, such as phones or calculators will be allowed during the exams. Any cheating during quizzes or exams will result in your failing the course and the matter being reported to the dean, following CUNY's Academic Integrity Policy, which is available online at https://www2.cuny.edu/about/administration/offices/legal-affairs/policies-procedures/academic-integrity-policy.
Important Dates: www.csi.cuny.edu/currentstudents/academiccalendars