Getting Started with the TI-89 Graphing Calculator

PART I PRECALCULUS. 1. Getting Started 1 2. Defining Functions 11 3. Making Tables of Function Values 14 4. Graphing Functions 17 5. Calculating from a Graph 25 6. Solving Equations 29 7. The Limit Concept 33 PART II DIFFERENTIAL CALCULUS. 8. Finding the Derivative at a Point 29 9. The Derivative as a Function 40 10. The Second Derivative 43 11. The Rules of Differentiation 46 12. Optimization 50 PART III INTEGRAL CALCULUS. 13. Left- and Right-hand Sums 55 14. The Definite Integral 58 15. The Fundamental Theorem of Calculus 62 16. Riemann Sums 66 17. Improper Integrals 69 18. Applications of the Integral 73 PART IV SERIES. 19. Geometric and Converging Series 81 20. Taylor Series 87 21. Fourier Series 90 PART V DIFFERENTIAL EQUATIONS. 22. Differential Equations and Slope Fields 93 23. Euler's Method 98 24. The Logistic Population Model 101 25. Systems of Equations and the Phase Plane 105 26. Second-Order Differential Equations 110 Appendix 115 Index 123