Problem Solving with Maple: A handbook Carl Eberhart, carl@ms.uky.edu    

Raison d'Maple  Four Properties of Maple  The Worksheet: A handy place to solve problems.  Get to know the language  Problems:  Experiment!  Problems  A Short Introduction to the Maple Language  Arithmetic  Expressions, Names, Statements, and Assignments  Functions  Built in Maple functions and Operations with Functions  Using Maple as a fancy graphing calculator.  Data types, Expression Sequences, Lists, Sets, Arrays, Tables:  Maple control statements  A Brief Vocabulary of Maple Words  Trouble Shooting Notes  Setting Up and Solving Problems  What is a problem?  Setup -- Solve -- Interpret  A Swimming Pool Problem:  Four methods of solving equations  Problems  More About Plotting  Putting in a parameter.  Problems  Defining your own Maple words.  Problems  More worked Problems  A billiard ball problem.  A Variation on the Billiard Ball Problem.  Water tank problem.  A ladder problem.  Another Ladder Problem.  Variation on the last ladder problem.  Differentiation and its uses.  Defining Derivatives  The student package  Problems  Newton's Method.  Use of the derivatives in plotting  Implicit Differentiation  Max-min Problems  A Paper folding problem:  More Max-min Problems  Stumbling onto max-min Problems  Problems:  Solutions  Early Integration.  Learning to use the Maple words Sum and sum .  Riemann Sums with the student package  Learning to use Int and int.  Average value.  Modeling the flow of air in lungs:  Two Area problems.  Moments and Center of Mass  Center of mass of a Wire  Center of mass of a solid of revolution  Definitions and Theorems of Calculus I  Inverse functions  A Useful Function -- The natural logarithm  Inverse Functions -- The exponential function  Inverse Functions: The inverse trig functions  Integration Techniques and Applications  Symbolic Integration Problems  A Substitution Problem:  An Integration by Parts Problem:  A Trig Substitution:  A Partial Fractions Problem  Problems:  Numerical Integration Problems  The Trapezoid Rule  Problems  Simpson's Rule.  More problems with Trapezoid and Simpson  Taylor's Theorem  Taylor polynomials  Taylor remainder theorem  Problems  Sequences and Series  Sequences  Periodic Points of functions.  Problems  Series  Problems  Two interesting curves  The Snowflake Curve  A Spacefiller  Differential equations  Terminology  Problems leading to first order equations  Logistic Growth  index.mws An index of bookmarks