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Unformatted text preview: MATH 1A03  Rough summary of topics covered Chapter 1: Functions and Models 1.6 Inverse Functions and Logrithms (review section) Chapter 2: Limits and Derivatives 2.2 The limit of a function (concept) 2.3 Calculating Limits Using the Limit Laws (superceded by continuity in section 2.5) 2.4 The Precise Definition of a Limit epsilon/delta definition. NOT ON THE EXAM 2.5 Continuity (definition, used to determine limits) 2.6 Limits at Infinity: Horizontal Asymptotes ln vs polynomial vs exponential growth calculating indeterminate limits before lHospitals rule 2.7 Derivatives and Rates of Change  What is a derivative? 2.8 The Derivative of a Function derivative is a function of the independent variable connecting the graph of the derivative to the graph of the funciton Chapter 3: Differentiation Rules 3.1 Derivative of Polynomials and Exponential Functions (very different functions!) 3.2 The Product and Quotient Rules 3.3 Derivative of Trigonometric Functions (derivative of tan and sec provided) 3.4 The Chain Rule (variable like u representing an expression) 3.5 Implicit Differentiation (apply derivative to implicit relation) 3.6 Derivatives of Logarithmic Functions derivative of log with different bases logarithmic differentiation 3.7 Rates of Change in the Sciences 3.8 Exponential Growth and Decay 3.9 Related Rates for the above three sections, the statement from test 2 still applies. See endofterm information. for the above three sections, the statement from test 2 still applies....
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This note was uploaded on 01/29/2010 for the course MATHEMATIC 1A03 taught by Professor Haskell during the Spring '08 term at McMaster University.
 Spring '08
 HASKELL
 Math, Derivative, Inverse Functions, Limits

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