Calculus With Calculators - Math 621--6978:  Spring 2008

Prof. Ilya Kofman

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

Course Time and Place:

Mondays    4:40pm - 7:20pm   in 1S-219


Practice with series and Solutions

A problem about the ERROR BOUND for Taylor polynomials  (by Stephen Greenfield)

Goals:  This course is designed to prepare you to teach AP Calculus. Calculus is a pre-requisite, but we will review key concepts. A basic requirement of this course is to master the AP Calculus exam, so expect to do many problems from past AP Calculus exams.

Required materials: 

1.  A recent calculus textbook, such as Calculus by Larson, Hostetler, Edwards, or similar by Stewart, etc. Do not buy a new textbook, see me if you do not have one.

2.  You must register (as a professional) at, the website of the College Board. Click on the My AP Central tab and follow directions. This site has a wealth of information about the AP exam and useful teaching materials.

3.  From the AP Calculus BC Course Home Page, download the PDF files, AP Calculus Course Description and AP Calculus Teacher's Guide. The AP Calculus AB Course Home Page has some different material, but these same two files are listed there as well.

4.  The guide book, Be Prepared for the AP Calculus Exam by Howell and Montgomery (2004), available online.

5.  Graphing calculator: TI-83, TI-83plus, TI-84, or any allowed calculator listed on AP Central.

Course mechanics:  We will only meet 15 times, so attendance is mandatory. My office hours are both before and after class. There will be a midterm exam (50%) and a final exam (50%).


  • Limits and continuity
  • Derivatives
  • Applications of derivatives
  • Integration
  • Applications of integrals
  • Differential equations
  • Parametric, vector and polar functions
  • Sequences and series

    Other useful resources: 

    MTH 231 course website

    Calculus online tutorial

    Calculus formulas and theorems