Math 130-03, Spring 2001                       Information for the Third Test
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    The last in-class test in this course takes place in class on Friday, April 20.
It covers Chapter 4, Sections 1,2, 4, and 5; Chapter 5, Section 1; and Labs
first three labs 9, 10, and 11.  Of course, you are also responsible for previous
material, especially the derivative formulas that were covered on the previous test.
Here are some of the terms and ideas that you should have mastered for this test:

   All the derivative formulas that you learned previously
   Inverse functions
   Inverse functions as "undo" operations
   Domain and range of an inverse function
   Finding an inverse function from a formula
   Finding an inverse function from a graph
   One-to-one function
   Horizontal line test
   Restricting the domain of a function to get an invertible function
   The derivative of an inverse function
   Exponential functions
   The number e
   Logarithmic functions
   Logarithmic functions are the inverse functions of exponential functions
   The natural logarithm, ln(x)
   Properties of exponential functions
   Properties of logarithmic functions
   Using inverse functions to solve equations
   Solving equations involving logs and exponentials
   Derivative formulas for logarithmic and exponential functions
   Using the chain rule with logarithmic and exponential functions
   Inverse trigonometric functions:  arcsin, arccos, arctan, arcsec
   Derivatives of the inverse trigonometric functions
   Related rates
   Solving related rate word problems (This is a big one!)
   A function that is increasing or decreasing on an interval
   Relationship of the first derivative to increasing/decreasing
   A function that is concave up or concave down on an interval
   Relationship of the second derivative to concavity
   Relationship of the first derivative to concavity
   Inflection point
   Drawing graphs of functions, using derivatives, concavity, etc.
   Reading properties such as increasing/decreasing or concavity from a graph