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

Calculus I - MTH 231, Section D004 (26943): Fall 2023

Mondays and Wednesdays:    2:30pm - 4:25pm   in 1S-217

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.

    Date Topic Reading
    Mon Aug 28 Review of functions Chapter 1, 3Blue1Brown Essence of Calculus
    Wed Aug 30 Limits, rates of changes 2.1, 2.2
    Wed Sep 6 Limit Laws, Continuity 2.3, 2.4, cw1
    Mon Sep 11 Algebraic & trigonometric limits 2.5, 2.6
    Wed Sep 13 Limits at Infinity, IVT 2.7, 2.8, cw2
    Mon Sep 18 Quiz 1: 2.1-2.8 Exam 1 F07  Exam 1 F07 Solutions,     Sample Problems 1-9   Solutions
    Wed Sep 20 Derivatives 3.1
    Wed Sep 27 Derivative as function, Product and Quotient Rules 3.2, 3.3
    Mon Oct 2 Rates of change 3.4
    Wed Oct 4 Higher derivatives, trigonometric derivatives 3.5, 3.6
    Tues Oct 10 Review Sample Problems     Solutions
    Wed Oct 11 Exam 1
    Mon Oct 16 Chain Rule 3.7, Practice Problems
    Wed Oct 18 Implicit Differentiation, Log functions 3.8, 3.9
    Mon Oct 23 Related rates 3.10
    Wed Oct 25 Linear Approximations, Extreme Values 4.1, 4.2
    Mon Oct 30 Quiz 2: 3.6-4.2  
    Wed Nov 1 First Derivative Test, Concavity 4.3, 4.4
    Mon Nov 6 L'Hopital's Rule, Curve Sketching 4.5, 4.6, Handout
    Wed Nov 8 Optimization 4.7
    Mon Nov 13 Review Sample Problems     Solutions
    Wed Nov 15 Exam 2  
    Mon Nov 20 Area Approximation, Definite Integral 5.1, 5.2
    Mon Nov 27 Indefinite Integrals 5.3
    Wed Nov 29 Fundamental Theorems of Calculus 5.4, 5.5
    Mon Dec 4 Substitution Rule 5.7, 5.8
    Wed Dec 6 Final Exam Review Chapter 5
    Mon Dec 11 Final Exam Review Ch 2-5, Sample Problems   Solutions,   Final exam F07   Final exam F07 Solutions

    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 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: