Brown University Calculus Review
This page is currently a work in progress. It contains content modeled to supplement the material covered in Brown University's Calculus courses. If you have any comments at all and a little time to spare, please drop us a line at our Feedback Form. It will email your comments to the creators of the page. Thank you for your help in constructing this review site!
Precalculus  Math 0090  Math 0100  Site Map  Change History
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Search the site: (WARNING search not yet comprehensive)
 Algebra Basics

Expanding & Factoring  How to multiply and expand polynomials, and tricks for factoring large polynomials. (DEC)
Domain and Range  An important page on the significance of the domain and range of a function, and how to find them. Never forget to check the domain and range of a function! (DEC)
Discontinuities  A page on the different types of discontinuities found in functions. (DEC)
Manipulating Graphs  A page with great demos on how functions and graphs are related. Checking out this page will give you a better sense of how algebra and graphing are related  guaranteed or your money back. (JVE)
Functions (Composition of & Inverses)  This page covers the composition of functions, like computing , as well as how to find the inverse of any function. Even yours! (DEC)
Limits  Methods for calculating limits, precalc style (No derivatives needed!).
 Function Families
 Polynomials  A page dedicated to polynomials  what they are, how to graph them, and how to manipulate them.
(JVE)
Rationals  This page deals with the graphing and manipulation of rational functions, which are functions that can be expressed as a function. (JVE)
Exponential Functions  Graphing and examples of exponential functions; i.e. functions of the form f(x) = a^{x} (JVE)
Logarithms  Rules and graphs of Logarithmic functions, like f(x) = log_{a} x (JVE)
 Trigonometry
 Trigonometry  An extensive coverage of precalc trigonometry topics, including trig identities, graphs, and lots of pretty diagrams. Our AAA page. (JVE)
 Review & "CheatSheet" Study Guides

Algebra Pitfalls  A page that identifies common problems students have with the material and how to avoid them. Check this out if you find yourself making a lot of mistakes. (DEC)
Trig Quick Review  A cheatsheetstyled page that has a quick summary of identities and values of trigonometric functions. Very helpful to print out and glance at. (JVE)
 Differentiation

Basic Derivative Rules  The page has all you need to do basic derivatives, including a summary of your major rules and some examples. (JVE)
Equation of a Line; Equation of Tangent Line  If you ever need to know how to find the equation of a line, or find the equation of a tangent line to a function, check this page out. (DEC)
Derivatives of Trig Functions  Quick and dirty statements of the derivatives of basic, reciprocal, and inverse trig functions, as well as proofs of these derivatives for the more skepticallyminded. (JVE)
Derivatives of Exponential & Logarithmic Functions  Exactly what it sounds like. Also includes description and examples of the technique of logarithmic differentiation. (JVE)
Implicit Differentiation and Related Rates  More methods to find rates of change and derivatives, for when we can't use our simple, explicit differentiation means. (DEC)
Max/Min Word Problems  A general method to solve word problems that require maximization or minimization. (JVE)
Newton's Method & Linear Approximation  All about how to use tangent lines to approximate curves, both for estimating zeroes and for estimating the value of a function at a point. (JVE)
 Integration
 USubstitution  This page discusses when and how to use the integration techinique of usubstitution, also known as "chunking." (JVE)
 Review and "CheatSheet" Study Guides

Outline/Study Guide for FirstYear Calculus  This page features a complete outline of the firstyear of Calculus. It covers everything, from differentiation to integration. Also a great thing to print out and keep around. (JVE)
Tips for Taking Derivatives  Check out this page if you have any trouble finding derivatives. An insider's guide on everything differentiation. This page leads naturally to... (DEC)
Worked Examples of Difficult Derivatives  PAGE UNDER CONSTRUCTION (DEC)
PRECALCULUS (top)
MATH 0090 (FIRSTYEAR CALCULUS) (top)
Garden behind Kassar House, Brown's Math Department
MATH 0100 (SECONDYEAR CALCULUS) (top)
Material for Math 10 will be added over the course of the Fall Semester of 2008. In the meantime, enjoy this limerick:
A student as smart as could be
Had to integrate x to the 3
He said "x to the 4
over 4, I am sure"
But was off by a constant of C.
This website is being designed by Dylan Cashman '10 and Jonathan Eldridge '11 under the supervision of Professors Thomas Banchoff and Steven Miller during the Summer and Fall of 2008.
This page last updated 31 October, 2008 5:03 PM