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Math 1A03 Summary

# Math 1A03 Summary - MATH 1A03 Rough summary of topics...

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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2: Limits and Derivatives • 2.2 The limit of a function (concept) • 2.3 Calculating Limits Using the Limit Laws (superceded by continuity in section 2.5) • 2.4 The Precise Definition of a Limit- epsilon/delta definition.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 l’Hospital’s 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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Math 1A03 Summary - MATH 1A03 Rough summary of topics...

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