Explorations With Texas Instruments TI-85
The TI-85 is the latest and most powerful graphing calculator produced by Texas Instruments. This book describes the use of the TI-85 in courses in precalculus, calculus, linear algebra, differential equations, business mathematics, probability, statistics and advanced engineering mathematics. The book features in-depth coverage of the calculator's use in specific course areas by distinguished experts in each field.\ \ The TI-85 is the latest and most powerful graphing...
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The TI-85 is the latest and most powerful graphing calculator produced by Texas Instruments. This book describes the use of the TI-85 in courses in precalculus, calculus, linear algebra, differential equations, business mathematics, probability, statistics and advanced engineering mathematics. The book features in-depth coverage of the calculator's use in specific course areas by distinguished experts in each field.
PrefaceCh. 1Explorations in Precalculus11.1Functions on the TI-8511.2Exponential and Logarithmic Functions101.3Trigonometric Functions on the TI-8515Ch. 2Explorations in Business Mathematics232.1Linear Systems232.2Geometric Linear Programming342.3The Simplex Method for Linear Programming Problems382.4Mathematics of Finance Using the Solver402.5Markov Chains48Ch. 3Explorations in Probability and Statistics513.1Descriptive Statistics523.2Probability693.3Inferential Statistics953.4Regression and Analysis of Variance1153.5Programming Notes130Ch. 4Explorations in Calculus I1354.1Limits and Continuity1364.2Rates and Rates of Rates1434.3Curve Sketching Insights1504.4Maxima and Minima with the TI-851554.5The Definite Integral as an Average1644.6Numerical Integration1684.7Areas and Volumes177Ch. 5Explorations in Calculus II1895.1Zeroes of Functions1905.2Graphing Conic Sections1955.3Polar Graphing2025.4Parametric Equations2075.5Functions Defined by Integrals2115.6Indeterminate Forms2145.7Improper Integrals2175.8Polynomials that Approximate Functions221Ch. 6Explorations in Linear Algebra2296.1Matrices on the TI-852306.2Systems of Linear Equations2366.3Orthogonality2516.4Eigenvalues and Eigenvectors257Ch. 7Exploring Differential Equations2657.1Euler and Improved Euler Algorithms2677.2Solution Graphs of First Order Initial Value Problems2707.3First Order Input/Output Problems2777.4Second Order Problems Using Two First Order Differential Equations2817.5Phase Plane Solutions of Differential Equations2887.6Linear Systems of Differential Equations: Constant Coefficients2947.7Concluding Remarks300Ch. 8Explorations in Advanced Engineering Mathematics3078.1The Simple Pendulum - Elliptic Integrals3088.2Functions Defined by Integrals and Series3138.3Boundary-Value Problems3208.4Exploring Vector Ideas325Appendix Introduction to the Texas Instruments TI-85339Index345
