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

Calculus I - MTH 231, Section D001 (28443): Fall 2025

Mondays and Wednesdays:    12:20pm - 2:15pm   in 1S-217

Prof. Ilya Kofman

Email:   ikofmanmath.csi.cuny.edu
Course website:   http://www.math.csi.cuny.edu/~ikofman/math231.html

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
    Wed Aug 27 Review of functions Chapter 1, 3Blue1Brown Essence of Calculus
    Wed Sep 3 Limits, rates of changes 2.1, 2.2
    Mon Sep 8 Limit Laws, Continuity 2.3, 2.4, cw1
    Wed Sep 10 Algebraic & trigonometric limits 2.5, 2.6
    Mon Sep 15 Limits at Infinity, IVT 2.7, 2.8, cw2
    Wed Sep 17 Quiz 1: 2.1-2.8 Exam 1 F07  Exam 1 F07 Solutions,     Sample Problems 1-9   Solutions
    Mon Sep 29 Derivatives 3.1
    Mon Oct 6 Derivative as function, Product and Quotient Rules 3.2, 3.3
    Wed Oct 8 Rates of change 3.4
    Tues Oct 14 Higher derivatives, trigonometric derivatives 3.5, 3.6
    Wed Oct 15 Review Sample Problems     Solutions
    Wed Oct 22 Exam 1
     
    Fri Oct 24 Chain Rule 3.7, Practice Problems
    Mon Oct 27 Implicit Differentiation, Log functions 3.8, 3.9
    Wed Oct 29 Related rates 3.10
    Mon Nov 3 Linear Approximations, Extreme Values 4.1, 4.2
    Wed Nov 5 Quiz 2: 3.6-4.2  
    Mon Nov 10 First Derivative Test, Concavity 4.3, 4.4
    Wed Nov 12 L'Hopital's Rule, Curve Sketching 4.5, 4.6, Handout
    Mon Nov 17 Optimization 4.7
    Wed Nov 19 Review Sample Problems     Solutions
    Mon Nov 24 Exam 2  
    Wed Nov 26 Area Approximation, Definite Integral 5.1, 5.2
    Mon Dec 1 Indefinite Integrals 5.3
    Wed Dec 3 Fundamental Theorems of Calculus 5.4, 5.5
    Mon Dec 8 Substitution Rule 5.7, 5.8
    Wed Dec 10 Final Exam Review Chapter 5
    Mon Dec 15 Final Exam Review Ch 2-5, Sample Problems   Solutions,   Final exam F07   Final exam F07 Solutions

    Useful online resources:

    1. Don't make these common algebra mistakes!
    2. Desmos graphing tool
    3. Desmos derivatives example
    4. Desmos tangent line example
    5. Desmos derivatives tutorial
    6. Calculus.org 
    7. Free online Calculus I textbook
    8. Videos: 3Blue1Brown Essence of Calculus
    9. Videos: Khan Academy Calculus 1
    10. Videos: Patrick JMT
    11. How to enter answers in Webwork
    12. Free CSI Math Tutoring

    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 https://www2.cuny.edu/about/administration/offices/legal-affairs/policies-procedures/academic-integrity-policy.

    Important Dates: www.csi.cuny.edu/currentstudents/academiccalendars