* Math 17A
SUPPLEMENTARY CLASS HANDOUTS *

* Last Update: September 26, 2016
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- SUPPLEMENTARY CLASS HANDOUTS

- Review of Functions

- Inverse Functions

- Even and Odd Functions

- Discrete Exponential Growth and Decay

- The Formal Definition of the Limit of a Sequence

- Fixed Points for Recursions

- The Effect of Initial Values on a Recursion

- The Beverton-Holt Growth Recursion

- The Meaning of a Continuous Function

- A Special Trig Limit

- The Intermediate Value Theorem

- An Example Using the Bisection Method

- Examples of Average and Instantaneous Rates of Change

- Proof of the Product Rule

- Proof of the Quotient Rule

- The Derivative of sin x

- An Example of Carbon Dating

- A Naturally-Occurring Example of an Exponential Function

- A Mummy in the Alps

- The Derivative of the Natural Logarithm

- Notes on the Derivative of an Inverse Function

- The Differential of a Function

- Using a Differential to Estimate Percentage Errors

- An Application of the Mean Value Theorem

- Instructions for Detailed Graphing Using First and Second Derivatives

- Summary and Examples of Detailed Graphing

- Inflection Point , a Biological Interpretation

- Maximum/Minimum Problems

- The Plausibilty of L'Hopital's Rule

- An Example Using Newton's Method

- Review of Functions