MCS 119: Calculus with Pre-calculus Review I (Spring 2014)

Suggestions for Studying for Quiz 1

The first quiz will cover implicit differentiation and the material we learned last semester about finding derivatives. A good way to study for this quiz is to do some of the review problems on pages 298-301.

You may use your calculator as long as it is a TI83/84 Plus or TI83/84 Plus Silver Edition, or has similar capabilities. You may not use a TI/89 on the quiz. If you have a calculator other than a TI83/84 Plus or TI83/84 Plus Silver Edition, please talk with me.

You will be tested on your ability to:

  • State the formal definition of the derivative.
  • Find a derivative using the difference quotient.
  • Estimate the value of a derivative using a table.
  • Use information about a function's first and second derivative to determine information about the graph of the function (and vice versa).
  • Find derivatives using the the rules we learned last semester.
  • Find the tangent line approximation (local linearization) of a function at a point and use it to approximate values of the function.
  • Differentiate implicitly.

You should be able to:

  • Use exponent rules to simplify expressions,
  • Simplify complex fractions,
  • Factor polynomials,
  • Do other algebraic manipulations,
  • Understand functions,
  • Use your calculator to graph functions and find values of functions.

Students who have taken MCS118/119 in the past suggest that the best ways to study are:

  • Study frequently, in small doses.
  • Do the homework every night.
  • Go to class, pay attention, and ask questions.
  • Read the text sections to be covered before and after class.
  • Use office hours and tutors.