Calclabs with Maple V

1. Getting Started. Maple as a Calculator. Assigning Variables. Algebra Commands. Plots. Limits. 2. Expressions, Functions, and Equations. Expressions. Functions. Solving Equations. More on Plots. 3. Differentiation. The Limit of the Difference Quotient. Differentiating Functions. Differentiating Expressions. 4. Applications of Differentiation. Implicit Differentiation. Linear Approximation. Related Rages. 5. Graphs. Local Max/Min. Graphical Analysis. Designer Polynomials. 6. Applied Max/Min. Finding Absolute Extremes of a Function on an Interval. The Most Economical Tin Can. 7. The Definite Integral. Visualizing Riemann Sums. The Computation of the Definite Integral. 8. Area and Volume. Area. Volume. 9. Techniques of Integration. Integration by Substitution (Change of Variables). Integration by Parts. Integration of Rational Functions by Partial Fractions. 10. Sequences and Series. Limits of Sequences. Series. Convergence of Series. Error Estimates. Taylor Polynomials. 11. Differential Equations. Explicit Solutions. Direction Fields. Numerical Solutions. 12. Parameterized Curves and Polar Plots. Parameterized Curves and Polar Plots. Exercises. 13. Programming with Maple. Introduction to Maple Procedures. Creating Interactive Programs in Maple. Concluding Remarks. 14. Troubleshooting Tips. Missing or Incorrect Punctuation. Confusion between Functions and Expressions. Re-executing Statements to Avoid Retyping Them. Forgetting to Save a Maple Session Before It's Too Late, and Losing It. Trouble Using One-Line Help. Forgetting to Include Library Packages. Confusion Between Exact and Approximate Calculations. Trying to Get Maple to Do Too Much. Making Mistakes When Entering a Procedure. Forgetting "od" after "do" and "fi" after "if". 15. Labs. The Ant and the Blade of Grass. Calculus 1 Review. The Chain Rule. Compound Interest. Graphic Drill on Derivatives and Second Derivatives. Visualizing Euler's Method. Numerical Integration. Shifting and Rescaling Functions (Two Drills). Speed Limits. 16. Projects. The Flight of a Baseball. Curves Generated by Rolling Circles. The Duck Hunt. Project: Gravitational Force. Logistic Growth. Search for the Meteor. Radioactive Waste at a Nuclear Power Plant. Pension Funds. The Center of the State of Texas. The Brightest Phase of Venus.