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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Chapter 2: Limits and Derivatives 2.2 The limit of a function (concept) 2.3 Calculating Limits Using the Limit Laws (superceded by continuity in section 2.5) 2.4 The Precise Definition of a Limit- epsilon/delta definition.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 end-of-term information.- for the above three sections, the statement from test 2 still applies....
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