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Using Maple for Topics in Calculus

There are worksheets here that explain certain concepts or that show you how to do certain things with Maple.

Chapter 1: Functions and Models (MA 141)

Piecewise Defined Functions - How to work with piecewise defined functions in Maple.

Composition of Functions - How to use Maple to form the composition of two functions.

Parametric Curves as Moving Points - Maple is used to make animations that show parametric curves as moving points.

Exponential Functions - Maple is used to review general properties of exponential functions and to find an exponential formula for a table of data.

Inverse Functions - How to use Maple to find the inverse of a function.

Trigonometric Functions - Maple is used to review the sine and cosine function, and to find a sine or cosine formula for a table of periodic data.

Chapter 2: Limits and Derivatives (MA 141)

Exploring the Limit of a Function - Maple is used to explore the limit of a particular function as x approaches 0. Roundoff error complicates both computations and graphing.

The Derivative of a Function - Maple is used to provide an introduction to the idea of a derivative. The derivative of a function represented by a table of data is also discussed.

Chapter 3: Differentiation Rules (MA 141)

Chapter 4: Applications of Differentiation (MA 141)

Extreme Values and Inflection Points - Maple is used to find local extrema and inflection points.

Optimization Problems - Maple is used to solve three optimation problems.

(MA 242)

Introduction to polar coordinates

Double Riemann Sum Maplet - Save this file and then open it in Maple 8 or Maple 9 and execute the worksheet using your cursor to execute "Edit --> execute --> worksheet". You can access Maple 8 from a unix or linux workstation by executing the command "add maple80" at a command line. On a windows machine you should be able to find Maple 8 under the applications window.

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