TAILIEUCHUNG - Problem Solving with Maple A Handbook Carl Eberhart Department of Mathematics University of

This tutorial shows how to use Maple both as a calculator with instant access to hundreds of high-level math routines and as a programming language for more demanding tasks. It covers topics such as the basic data types and statements in the Maple language. It explains the differences between numeric computation and symbolic computation and illustrates how both are used in Maple. Extensive "how-to" examples are used throughout the tutorial to show how common types of calculations can be expressed easily in Maple. The manual also uses many graphics examples to illustrate the way in which 2D and 3D graphics. | Problem Solving with Maple A Handbook Carl Eberhart Department of Mathematics University of Kentucky June 9 1998 2 Contents I Sans Calculus 7 1 Raison d Maple 9 Four Properties of Maple. 9 The Worksheet A handy place to solve problems. 10 Get to know the language . 13 Problems . 13 Experiment . 13 Problems. 14 2 A Short Introduction to the Maple Language 15 Arithmetic. 15 Expressions Names Statements and Assignments. 16 Functions . 16 Built in Maple functions and Operations with Functions. 20 Using Maple as a fancy graphing calculator. 21 Data types Expression Sequences Lists Sets Arrays Tables . 22 Maple control statements . 30 A Brief Vocabulary of Maple Words. 31 Trouble Shooting Notes . 34 3 Setting Up and Solving Problems 37 What is a problem . 37 Setup - Solve - Interpret. 37 A Swimming Pool Problem . 38 Four methods of solving equations . 39 Problems. 40 More About Plotting. 41 Putting in a parameter. 42 Problems. 43 Defining your own Maple words. 44 Problems . 48 4 More worked Problems 49 A billiard ball problem. 49 A Variation on the Billiard Ball Problem. 51

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