Math 221   Calculus I  Spring 2014

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/1-1MJIM9Z 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 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. 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 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.

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


1/27-1/31

1.5

1.4 and 2.1

1.6

Limit of a function (intuitive)

Derivatives and rate of change

Calculating with limit laws


2/3-2/7


1.8

2.2

2.3

Continuity

Derivative as a function

Differentiation formulas


2/10-2/14

More 2.3

2.4

Differentiation formulas

Derivatives of trig functions


2/17-2/21

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

2/25-2/28

2.6

2.7

Implicit differentiation

Review day on computing derivatives

Rates of change in science


3/3-3/7

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.)

3/10-3/14

More 3.1

review

first paper test covering Sections 1.4-3.1



3/17-3/21

3.2

3.3

3.4

Mean Value Theorem

Shape of a graph

Limits at infinity

Last week of Skills Test 2

3/24-3/28

(Friday is W deadline)

3.5

Curve sketching

Skills Test 3 begins, on maximum and minimum values and limits at infinity

3/31-4/4

3.7

3.9

4.1

Optimization

Antiderivatives

Areas and distance


4/7-4/11

Appendix E

4.2

4.3

Summation notation and formulas

Definite integrals

Fundamental Theorem of Calculus

Last week of Skills Test 3

4/22-4/25

(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

4/28-5/2


5.5

review

Second paper test

Average value of a function


5/5-5/9

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

8:30-10:30am

West Gym 69