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

Office:   1S-209   phone: (718) 982-3615
Email:   ikofman


Course Time and Place:

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

Syllabus (4th Edition) or Syllabus (3rd Edition)


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)

    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: 

  • Sample Exam 1 Fall 2021
  • Sample Exam 1 Fall 2016
  • Exam 1 Fall 2016

    Problems from past exams:

  • 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 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 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

    Important Dates: