1 Computational Science. - 1. 1 Experiment Theory and Computation. - 1. 2 Solving Computational Problems. - 1. 3 Onward. - 2 Population Density: Computational Properties of Numbers. - 2. 1 Model. - 2. 2 Method. - 2. 3 Implementation. - 2. 4 Arithmetic Expressions. - 2. 5 Rational Numbers in Maple. - 2. 6 Rational Number Errors. - 2. 7 Floating-Point Numbers in Maple. - 2. 8 Floating-Point Number Errors. - 2. 9 Assessment. - 2. 10 Key Concepts. - 2. 11 Exercises. - 3 Eratosthenes: Significant Digits and Interval Arithmetic. - 3. 1 Model. - 3. 2 Method. - 3. 3 Implementation. - 3. 4 Implementation Assessment. - 3. 5 Method Assessment. - 3. 6 Model Assessment. - 3. 7 Problem Assessment. - 3. 8 Key Concepts. - 3. 9 Exercises. - 4 Stairway to Heaven: Accumulation of Roundoff Error. - 4. 1 An Inductive Model. - 4. 2 Summing the Harmonic Series. - 4. 3 Comparing Rational and Floating-Point Arithmetic. - 4. 4 Assessment. - 4. 5 Key Concepts. - 4. 6 Exercises. - 5 Kitty Hawk: Programmer-Defined Functions. - 5. 1 Model. - 5. 2 Method. - 5. 3 Implementation. - 5. 4 Assessment. - 5. 5 Key Concepts. - 5. 6 Exercises. - 6 Baby Boom: Symbolic Computation. - 6. 1 Simple Interest. - 6. 2 Compound Interest. - 6. 3 Continuous Interest. - 6. 4 Assessment. - 6. 5 Key Concepts. - 6. 6 Exercises. - 7 Ballistic Trajectories: Scientific Visualization. - 7. 1 Ballistic Motion. - 7. 2 Scientific Visualization. - 7. 3 Motion Functions. - 7. 4 Two-Dimensional Plots. - 7. 5 Multiple-Curve Plots. - 7. 6 Parametric Plots. - 7. 7 Animation. - 7. 8 Key Concepts. - 7. 9 Exercises. - 8 The Battle for Leyte Gulf: Symbolic Mathematics. - 8. 1 Fixed Trajectory. - 8. 2 Arbitrary Trajectories. - 8. 3 Effects of Drag. - 8. 4 Piecewise Trajectories. - 8. 5 Final Assessment. - 8. 6 Key Concepts. - 8. 7 Exercises. - 9 Old Macdonald's Cow: Procedural Programming. - 9. 1 Solving Equations in Maple. - 9. 2 Bisection Method. - 9. 3 ABisection Procedure. - 9. 4 Assessment. - 9. 5 Key Concepts. - 9. 6 Exercises. - 10 Introduction to C. - 10. 1 Maple Background. - 10. 2 C Background. - 10. 3 An Example C Program. - 10. 4 Interpreters versus Compilers. - 10. 5 Differences Between Maple and C. - 10. 6 Learning C. - 10. 7 Eratosthenes's Problem. - 10. 8 Kitty Hawk Problem. - 10. 9 Key Concepts. - 10. 10 Exercises. - 11 Robotic Weightlifting: Straight-Line Programs. - 11. 1 Trigonometry of a Link Diagram. - 11. 2 Components of a Straight-Line Program. - 11. 3 Types. - 11. 4 Expressions. - 11. 5 Simple Statements. - 11. 6 Main Function. - 11. 7 Libraries. - 11. 8 Assessment. - 11. 9 Key Concepts. - 11. 10 Exercises. - 12 Sliding Blocks: Conditionals and Functions. - 12. 1 A Infinite Ramp without Friction. - 12. 2 An Infinite Ramp with Friction. - 12. 3 A Finite Ramp with Friction. - 12. 4 Programmer-Defined Functions. - 12. 5 Assessment. - 12. 6 Key Concepts. - 12. 7 Exercises. - 13 Rod Stacking: Designing with Functions. - 13. 1 Decomposing the problem. - 13. 2 Design. - 13. 3 Implementation. - 13. 4 Assessment. - 13. 5 Key Concepts. - 13. 6 Exercises. - 14 Newton's Beam: Repetition. - 14. 1 Newton's Method. - 14. 2 Implementation of Newton's Method. - 14. 3 Bisection Method Implementation. - 14. 4 Assessment. - 14. 5 Key Concepts. - 14. 6 Exercises. - 15 Numerical Integration: Multiple-File Programs. - 15. 1 Numerical Integration. - 15. 2 Rectangular Method. - 15. 3 Rectangular Method Implementation. - 15. 4 Trapezoidal Method. - 15. 5 Trapezoidal Method Implementation. - 15. 6 Multiple-File Programs. - 15. 7 Comparison of Rectangular and Trapezoidal Methods. - 15. 8 Key Concepts. - 15. 9 Exercises. - 16 Harmonic Oscillation: Structures and Abstract Datatypes. - 16. 1 Newton's Method with Complex Roots. - 16. 2 Rod Stacking Revisited. - 16. 3 Newton's Method Revisited. - 16. 4 Assessment. - 16. 5 KeyConcepts. - 16. 6 Exercises. - 17 Heat Transfer in a Rod: Arrays. - 17. 1 Modeling Heat Flow. - 17. 2 A Finite-Element Method. - 17. 3 Implementation. - 17. 4 Assessment. - 17. 5 Key Concepts. - 17. 6 Exercises. - 18 Visualizing Heat Transfer: Arrays as Parameters. - 18. 1 Arrays as Parameters. - 18. 2 File Input. - 18. 3 File Output. - 18. 4 Assessment. - 18. 5 Key Concepts. - 18. 6 Exercises. - A Maple Functions and Constants. - B C Library Functions. Language: English