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Book Cover
E-book
Author Pfaff, Thomas

Title R for College Mathematics and Statistics
Published Milton : Chapman and Hall/CRC, 2019

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Description 1 online resource (338 pages)
Contents Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; 1: Getting Started; 1.1 Importing Data into R; 2: Functions and Their Graphs; 2.1 A Piecewise-Defined Function; 2.2 A Step Function; 2.3 Polar Coordinates; 2.4 Parametric Equations; 2.5 Geometric Definition of a Parabola; 2.6 Functions that Return a Function; 2.7 Pythagorean Triples and a Checkerboard Plot; 2.8 Exercises; 3: Graphing; 3.1 Graphing Functions; 3.2 Scatter Plots; 3.3 Dot, Pie, and Bar Charts; 3.3.1 A Look at For Loops; 3.4 Boxplot with a Stripchart; 3.5 Histogram
3.6 Exercises4: Polynomials; 4.1 Basic Polynomial Operations; 4.2 The LCM and GCD of Polynomials; 4.3 Illustrating Roots of a Degree-Three Polynomial; 4.4 Creating Pascal's Triangle with Polynomial Coefficients; 4.5 Calculus with Polynomials; 4.6 Taylor Polynomial of Sin(x); 4.7 Legendre Polynomials; 4.8 Exercises; 5: Sequences, Series, and Limits; 5.1 Sequences and Series; 5.2 The Derivative as a Limit; 5.3 Recursive Sequences; 5.4 Exercises; 6: Calculating Derivatives; 6.1 Symbolic Differentiation; 6.2 Finding Maximum, Minimum, and Inflection Points
6.3 Graphing a Function and Its Derivative6.4 Graphing a Function with Tangent Lines; 6.5 Shading the Normal Density Curve Outside the Inflection Points; 6.6 Exercises; 7: Riemann Sums and Integration; 7.1 Riemann Boxes; 7.2 Numerical Integration; 7.2.1 Numerical Integration of Iterated Integrals; 7.3 Area Between Two Curves; 7.4 Graphing an Antiderivative; 7.5 Exercises; 8: Planes, Surfaces, Rotations, and Solids; 8.1 Interactive: Surface Plots; 8.2 Interactive: Rotations around the x-axis; 8.3 Interactive: Geometric Solids; 8.4 Exercises; 9: Curve Fitting; 9.1 Exponential Fit
9.2 Polynomial Fit9.3 Log Fit; 9.4 Logistic Fit; 9.5 Power Fit; 9.6 Exercises; 10: Simulation; 10.1 A Coin Flip Simulation; 10.2 An Elevator Problem; 10.3 A Monty Hall Problem; 10.4 Chuck-A-Luck; 10.5 The Buffon Needle Problem; 10.6 The Deadly Board Game; 10.7 Exercises; 11: The Central Limit Theorem and Z-test; 11.1 A Central Limit Theorem Simulation; 11.2 Z Test and Interval for One Mean; 11.3 Z Test and Interval for Two Means; 11.4 Exercises; 12: The T-Test; 12.1 T Test and Intervals for One and Two Means; 12.1.1 Paired T-Test
Notes 15.6 Exercises
Print version record
Subject Mathematical statistics -- Data processing -- Problems, exercises, etc
Mathematics -- Study and teaching (Higher) -- Data processing
Mathematical statistics -- Study and teaching (Higher) -- Data processing
R
Mathematical statistics -- Data processing
Mathematics -- Study and teaching (Higher) -- Data processing
Genre/Form Problems and exercises
Form Electronic book
ISBN 9781000000146
1000000141