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

Calculus I, MTH 231, Section 16542, Fall 2022

Mondays and Wednesdays:    12:20pm - 2:15pm   in 1S-107

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

    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 past exams, homework and textbook.

    Date Topic Reading
    Mon Aug 29 Review of functions Chapter 1, 3Blue1Brown Essence of Calculus
    Wed Aug 31 Limits, rates of changes 2.1, 2.2
    Wed Sep 7 Limit Laws, Continuity 2.3, 2.4, cw1
    Mon Sep 12 Algebraic & trigonometric limits 2.5, 2.6
    Wed Sep 14 Limits at Infinity, IVT 2.7, 2.8, cw2
    Mon Sep 19 Quiz 1: 2.1-2.8 Exam 1 F07  Exam 1 F07 Solutions,     Sample Problems 1-9   Solutions
    Wed Sep 21 Derivatives 3.1
    Wed Sep 28 Derivative as a function 3.2
    Thurs Sep 29 Product and Quotient Rules 3.3
    Mon Oct 3 Rates of change, Higher derivatives 3.4, 3.5
    Wed Oct 12 Review Sample Problems     Solutions
    Mon Oct 17 Exam 1
    Wed Oct 19 Derivatives of trigonometric functions, Chain Rule 3.6, 3.7,Practice Problems
    Mon Oct 24 Implicit Differentiation, Log functions 3.8, 3.9
    Wed Oct 26 Related rates 3.10
    Mon Oct 31 Linear Approximations, Extreme Values 4.1, 4.2
    Wed Nov 2 Quiz 2: 3.6-4.2, First Derivative Test 4.3
    Mon Nov 7 Concavity 4.4
    Wed Nov 9 L'Hopital's Rule, Curve Sketching 4.5, 4.6, Handout
    Mon Nov 14 Optimization 4.7
    Wed Nov 16 Review Sample Problems     Solutions
    Mon Nov 21 Exam 2  
    Wed Nov 23 Area Approximation, Definite Integral 5.1, 5.2
    Mon Nov 28 Indefinite Integrals 5.3
    Wed Nov 30 Fundamental Theorems of Calculus 5.4, 5.5
    Mon Dec 5 Substitution Rule 5.7, 5.8
    Wed Dec 7 Quiz 3: 5.1-5.8  
    Mon Dec 12 Final Exam Review Sample Problems   Solutions,   Final exam F07   Final exam F07 Solutions
      Final Exam  

    Useful online resources:

    1. Algebra Worksheets
    2. Solving Equations
    3. Online graphing tool
    4. Animations  
    5. How to enter answers in Webwork
    7. Calculus online tutorial
    8. Free CSI Math Tutoring
    9. Free online Calculus I textbook
    10. Videos: 3Blue1Brown Essence of Calculus
    11. Videos: Patrick JMT
    12. Videos: Khan Academy

    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:

  • No electronic devices, such as phones or calculators will be allowed during the exams.
  • Copying your written work from somebody else or from any other source is considered cheating and will be dealt with severely. Permitting someone else to copy your work is also considered cheating. 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: