The sections of the course are taught individually, by
instructors working off of a common syllabus and roughly common
sections will take the same final exam. To see the class times,
instructors for all sections, go to the math department schedule of classes. The instructor for your section will provide
her/his contact information. Much more information for your section
will be available on Blackboard.
You need a good background in algebra and trigonometry, which is usually satisfied by a High School precalculus course or Binghamton University's Math 108. The Mathematics Department administers a Placement Test, which is designed to identify students who do not have adequate preparation for the course. The Placement Test is an absolute prerequisite for Math 221: you must pass it or you will not be allowed to take the course. See the placement test home page for details.
The text for Math 221 is Calculus, (sometimes called
Variable Calculus) 7th Edition with WebAssign Key, by James Stewart. It
published by the Brooks/Cole division of Thomson. The version available
University book store covers the material in Calculus II as well. The WebAssign key is absolutely necessary.
If you are repeating Calc 1 and bought a WebAssign Key for the course already, you don't have to buy it again. (Exception: if you only purchased one-semester access, you'll need to buy it again.) Click here for directions to link your old WebAssign account to your account for this semester.
You may want a graphing calculator to help with homework, but a calculator is not required. In fact, their overuse is heavily discouraged. Neither calculators nor any other electronic item, e.g. a cell phone as clock, may be visible to you during tests (except as described below on Skills Tests). As an alternative to investing in a graphing calculator, you may wish to try Wolfram Alpha , a query engine that accepts input in informal mathematical language, such as "graph of sin(3x) from x=1 to x=5".
The course covers the basics of differential and integral calculus, covering most of Chapters 1-5 of the text, as well as Appendices A-E. The precise sections to be covered are listed in the schedule below. The objective of the course is to acquire mastery of the material covered in the course in the following senses: 1. Mathematical understanding, as demonstrated by the ability to solve appropriate mathematical problems. 2. Practical understanding, as demonstrated by the ability to solve appropriate word problems in the sciences, in engineering and in the social sciences.
In our textbook, the material to be covered will be found in Chapters 1 - 5. All class sections will eventually cover the same material, but perhaps at a different pace and on different days according to the meeting schedule and holidays. Here is a schedule showing what sections should be covered each week:
1.4 and 2.1
|Limit of a function (intuitive)
Derivatives and rate of change
Calculating with limit laws
(No Fri pm classes)
Derivative as a function
Derivatives of trig functions
2.5 (2 days)
|New functions from old
|Skills Test 1 begins, on limits, continuity, differentiation formulas, and derivatives of trig functions|
Review day on computing derivatives
Rates of change in science
Linear approximation and differentials
Maximum and minimum values
|Skills Test 2 begins, on Chain Rule and implicit differentiation
(Students may also take their last try at the first Skills Test this week.)
first paper test covering Sections 1.4-3.1
|Mean Value Theorem
Shape of a graph
Limits at infinity
(Friday is W deadline)
|3.5||Curve sketching||Skills Test 3 begins, on maximum and minimum values and limits at infinity|
Areas and distance
Summation notation and formulas
Fundamental Theorem of Calculus
Area between curves
|Skills Test begins on Wednesday, 11/20, on integration, through Section 4.4|
(No Wed pm or Th/F classes)
|Average value of a function|
Second paper test
|Volume by spherical shells|