Maple Problem Solving Handbook

Department of Mathematics, University of Kentucky, 2009. - 133 pages. Raison d’Maple Four Properties of Maple The Worksheet: A handy place to solve problems Get to know the language Experiment! A short introduction to the Maple languages 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, Matrices: 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 The inverse of the natural log Inverse Functions: The inverse trig functions Integration Techniques and Applications Symbolic Integration Problems Numerical Integration Problems Taylor’s Theorem Taylor polynomials Taylor remainder theorem Problems Sequences and Series Sequences Series Two interesting curves Differential equations Terminology Problems leading to first order equations Logistic Growth Index