Organization
The sections of the course are taught individually, by instructors working off of a common syllabus and roughly common schedule. All sections will take the same final exam. To see the class times, locations, and instructors for all sections, go to the math department schedule of classes. The instructor for your section will provide you with her/his contact information. Much more information for your section will be available on Blackboard.
Prerequisites
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.
Textbook
The text for Math 221 is Calculus, (sometimes called Single Variable Calculus) 7th Edition with WebAssign Key, by James Stewart. It is published by the Brooks/Cole division of Thomson. The version available in the University book store covers the material in Calculus II as well. The WebAssign key is absolutely necessary. If you wish to buy or rent the book online, the publisher recommends www.cengagebrain.com/micro/11MJIM9Z Note that you don't need all of the products at this website,just the book and the enhanced WebAssign (EWA) access. Because we're not assigning homework directly out of the book, the Student Solutions manual is probably not worth buying.
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 onesemester 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. 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".
Objectives and Course Contents
The course covers the basics of differential and integral calculus, covering most of Chapters 15 of the text, as well as Appendices AE. 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.
Weekly Schedule
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
Dates 
Sections 
Topics 

1/271/31 
1.5 1.4 and 2.1 1.6 
Limit of a function (intuitive) Derivatives and rate of change Calculating with limit laws 

2/32/7

1.8 2.2 2.3 
Continuity Derivative as a function Differentiation formulas 

2/102/14 
More 2.3 2.4 
Differentiation formulas Derivatives of trig functions 

2/172/21 
1.3 2.5 (2 days) 
New functions from old Chain Rule 
Skills Test 1 begins, on limits, continuity, differentiation formulas, and derivatives of trig functions 
2/252/28 
2.6 2.7 
Implicit differentiation Review day on computing derivatives Rates of change in science 

3/33/7 
2.8 2.9 3.1 
Related Rates 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.) 
3/103/14 
More 3.1 review first paper test covering Sections 1.43.1 


3/173/21 
3.2 3.3 3.4 
Mean Value Theorem Shape of a graph Limits at infinity 
Last week of Skills Test 2 
3/243/28 (Friday is W deadline) 
3.5 
Curve sketching 
Skills Test 3 begins, on maximum and minimum values and limits at infinity 
3/314/4 
3.7 3.9 4.1 
Optimization Antiderivatives Areas and distance 

4/74/11 
Appendix E 4.2 4.3 
Summation notation and formulas Definite integrals Fundamental Theorem of Calculus 
Last week of Skills Test 3 
4/224/25 (No Mon) 
4.4 4.5 5.1 
Indefinite integrals Substitution Rule Area between curves 
Skills Test 4 begins on Tuesday, 4/23, on integration, through Section 4.4 
4/285/2

5.5 review Second paper test 
Average value of a function 

5/55/9 
5.2 5.3 
Volume Volume by spherical shells Review 
Last week for Skills Test 4. THERE WILL BE NO SKILLS TESTS GIVEN AFTER 5/9 except in truly extraordinary circumstances 




5/12 
Final exam 8:3010:30am West Gym 69 

