Department of Mathematics, College of Staten Island, City University of New York (CUNY)

Calculus III - MATH 233, Section D001 (17592):  Spring 2024

Mondays and Wednesdays:    2:30pm - 4:25pm   in 1S-102

Prof. Ilya Kofman

Course website:

Textbook:  You can rent or buy, new or used, from any store. You can use either the 3rd or 4th edition of this textbook:

  • Rogawski and Adams, Calculus: Early Transcendentals, 3rd Edition, W. H. Freeman & Co. (2015)   ISBN: 9781464114885
  • Rogawski, Adams, Franzosa, Calculus: Early Transcendentals, 4th Edition, W. H. Freeman & Co. (2019)   ISBN: 9781319411671 (e-book ISBN: 9781319411657)
    Syllabus (4th Edition) or Syllabus (3rd Edition)

    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

    Quizzes and Exams:  See the schedule of quizzes and exams below. No electronic devices, such as phones or calculators will be allowed during quizzes and exams.

    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 4:30-5:45pm 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 sample quizzes and exams, homework and textbook.

    Class Topic Section
    Mon Jan 29 Vectors, Dot product 12.1, 12.2, 12.3, 3B1B-vectors and KA-dot product
    Wed Jan 31 Cross product, Lines and planes 12.4, 12.5
    Mon Feb 5 Lines and planes 12.5
    Wed Feb 7 QUIZ 1
    Conic sections
    Wed Feb 14 Quadric surfaces 12.6, Quadric Gallery
    Wed Feb 21 Parametric curves, arc length and speed 13.1, 13.2, 13.3
    Thurs Feb 22 Limits and continuity in several variables 14.1, 14.2
    Mon Feb 26 Partial derivatives
    12.1 - 14.3
    Wed Feb 28 EXAM 1  
    Mon Mar 4 Differentiability and tangent planes, Gradient and directional derivatives 14.4, 14.5
    Wed Mar 6 Chain rule in several variables 14.6
    Mon Mar 11 Optimization in several variables 14.7
    Wed Mar 13 Lagrange multipliers 14.8
    Mon Mar 18 Optimization with Extreme Value Theorem 14.7, 14.8
    Wed Mar 20 QUIZ 2
    Double integrals
    15.1, 15.2
    Mon Mar 25 Triple integrals 15.3
    Wed Mar 27 Integration in polar, cylindrical, spherical coordinates 12.7, 15.4
    Mon Apr 1 Review 14.4 - 15.4
    Wed Apr 3 EXAM 2  
    Mon Apr 8 Vector fields, Line integrals 16.1, 16.2
    Wed Apr 10 Conservative vector fields 16.3
    Mon Apr 15 Green's Theorem 17.1
    Wed Apr 17 QUIZ 3 16.1-16.3, 17.1
    Wed May 1 Parametrized surfaces and surface integrals 16.4, 16.5
    Mon May 6 Stokes' Theorem 17.2
    Wed May 8 Divergence Theorem 17.3
    Mon May 13 Final Exam Review Ch 16 - 17
    Wed May 15 Final Exam Review Ch 12 - 17

    Past and Sample Exams: 

  • Sample Exam 1 Fall 2021
  • Sample Exam 1 Fall 2016
  • Exam 1 Fall 2016
  • Exams from Fall 2015 (Prof. Joseph Maher).
  • Exam 1 Fall 2008 (covers Rogawski chapter 12)  and   Solutions
  • Exam 2 Fall 2008 (covers Rogawski chapter 13)  and   Solutions
  • Exam 3 Fall 2008 (covers Rogawski 14.4 - 14.8)  and   Solutions
  • Problems from past versions of Exam 1  and   Solutions
  • Problems from past versions of Exam 2.
  • Problems from past versions of Exam 3.
  • Problems from past versions of the Final Exam, and Solutions.

    Other useful online resources:

  • Online graphing tool
  • Interactive Gallery of Quadric Surfaces
  • Calculus I online tutorial
  • Online calculus III textbook
  • Khan Academy

    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 quizzes and 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

    Important Dates: