Opis: Basic Technical Mathematics with Calculus - Allyn Washington

Were you looking for the book with access to MyMathLab? This product is the book alone, and does NOT come with access to MyMathLab. Buy the book and access card package to save money on this resource. For courses in Introductory Technical Math. This tried-and-true text from Allyn Washington preserves the author's highly regarded approach to technical math, while enhancing the integration of technology. Appropriate for a one- to two-semester course, BASIC TECHNICAL MATHEMATICS shows how algebra and trigonometry are used on the job. It addresses a vast number of technologies including aeronautics, construction, energy, environmental, electronics, computer design, automotive, fire science and more! Known for its exceptional problem sets and applied material, the book offers practice exercises, writing exercises, word problems, and practice tests. This edition features more technical applications, over 1300 new exercises, additional graphing calculator screens, and a robust MyMathLab online homework course.Each chapter contains: Equations, Quick Chapter Review, Review Exercises, Practice Test 1. Basic Algebraic Operations 1.1 Numbers 1.2 Fundamental Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and Subtraction of Algebraic Expressions 1.8 Multiplication of Algebraic Expressions 1.9 Division of Algebraic Expressions 1.10 Solving Equations 1.11 Formulas and Literal Equations 1.12 Applied Word Problems 2. Geometry 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Irregular Areas 2.6 Solid Geometric Figures 3. Functions and Graphs 3.1 Introduction to Functions 3.2 More about Functions 3.3 Rectangular Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Data 4. The Trigonometric Functions 4.1 Angles 4.2 Defining the Trigonometric Functions 4.3 Values of the Trigonometric Functions 4.4 The Right Triangle 4.5 Applications of Right Triangles 5. Systems of Linear Equations; Determinants 5.1 Linear Equations 5.2 Graphs of Linear Functions 5.3 Solving Systems of Two Linear Equations in Two Unknowns Graphically 5.4 Solving Systems of Two Linear Equations in Two Unknowns Algebraically 5.5 Solving Systems of Two Linear Equations in Two Unknowns by Determinants 5.6 Solving Systems of Three Linear Equations in Three Unknowns Algebraically 5.7 Solving Systems of Three Linear Equations in Three Unknowns by Determinants 6. Factoring and Fractions 6.1 Special Products 6.2 Factoring: Common Factor and Difference of Squares 6.3 Factoring Trinomials 6.4 The Sum and Difference of Cubes 6.5 Equivalent Fractions 6.6 Multiplication and Division of Fractions 6.7 Addition and Subtraction of Fractions 6.8 Equations Involving Fractions 7. Quadratic Equations 7.1 Quadratic Equations; Solution by Factoring 7.2 Completing the Square 7.3 The Quadratic Formula 7.4 The Graph of the Quadratic Function 8. Trigonometric Functions of Any Angle 8.1 Signs of the Trigonometric Functions 8.2 Trigonometric Functions of Any Angle 8.3 Radians 8.4 Applications of Radian Measure 9. Vectors and Oblique Triangles 9.1 Introduction to Vectors 9.2 Components of Vectors 9.3 Vector Addition by Components 9.4 Applications of Vectors 9.5 Oblique Triangles, the Law of Sines 9.6 The Law of Cosines 10. Graphs of the Trigonometric Functions 10.1 Graphs of y = a sin x and y = a cos x 10.2 Graphs of y = a sin bx and y = a cos bx 10.3 Graphs of y = a sin (bx + c ) and y = a cos (bx + c ) 10.4 Graphs of y = tan x,y = cot x, y = sec x, y = csc x 10.5 Applications of the Trigonometric Graphs 10.6 Composite Trignometric Curves 11. Exponents and Radicals 11.1 Simplifying Expressions with Integral Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.3 Addition and Subtraction of Radicals 11.5 Multiplication and Division of Radicals 12. Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations with Complex Numbers 12.3 Graphical Representation of Complex Numbers 12.4 Polar Form of a Complex Number 12.5 Exponential Form of a Complex Number 12.6 Products, Quotients, Powers, and Roots of Complex Numbers 12.7 An Application to Alternating-current (ac) Circuits 13. Exponential and Logarithmic Functions 13.1 Exponential Functions 13.2 Logarithmic Functions 13.3 Properties of Logarithms 13.4 Logarithms to the Base 10 13.5 Natural Logarithms 13.6 Exponential and Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper 14. Additional Types of Equations and Systems of Equations 14.1 Graphical Solution of Systems of Equations 14.2 Algebraic Solution of Systems of Equations 14.3 Equations in Quadratic Form 14.4 Equations with Radicals 15. Equations of Higher Degree 15.1 The Remainder and Factor Theorems; Synthetic Division 15.2 The Roots of an Equation 15.3 Rational and Irrational Roots 16. Matrices; Systems of Linear Equations 16.1 Matrices: Definitions and Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Linear Equations 16.5 Gaussian Elimination 16.6 Higher-order Determinants 17. Inequalities 17.1 Properties of Inequalities 17.2 Solving Linear Inequalities 17.3 Solving Nonlinear Inequalities 17.4 Inequalities Involving Absolute Values 17.5 Graphical Solution of Inequalities with Two Variables 17.6 Linear Programming 18. Variation 18.1 Ratio and Proportion 18.2 Variation 19. Sequences and the Binomial Theorem 19.1 Arithmetic Sequences 19.2 Geometric Sequences 19.3 Infinite Geometric Series 19.4 The Binomial Theorem 20. Additional Topics in Trigonometry 20.1 Fundamental Trigonometric Identities 20.2 The Sum and Difference Formulas 20.3 Double-Angle Formulas 20.4 Half-Angle Formulas 20.5 Solving Trigonometric Equations 20.6 The Inverse Trigonometric Functions 21. Plane Analytic Geometry 21. 1 Basic Definitions 21.2 The Straight Line 21.3 The Circle 21.4 The Parabola 21.5 The Ellipse 21.6 The Hyperbola 21.7 Translation of Axes 21.8 The Second-degree Equation 21.9 Rotation of Axes 21.10 Polar Coordinates 21.11 Curves in Polar Coordinates 22. Introduction to Statistics 22.1 Frequency Distributions 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Normal Distributions 22.5 Statistical Process Control 22.6 Linear Regression 22.7 Nonlinear Regression 23. The Derivative 23.1 Limits 23.2 The Slope of a Tangent to a Curve 23.3 Standard Deviation 23.4 The Derivative as an Instantaneous Rate of Change 23.5 Derivatives of Polynomials 23.6 Derivatives of Products and Quotients of Functions 23.7 The Derivative of a Power of a Function 23.8 Differentiation of Implicit Funtions 23.9 Higher Derivatives 24. Applications of the Derivative 24.1 Tangents and Normals 24.2 Newton's Method for Solving Equations 24.3 Curvilinear Motion 24.4 Related Rates 24.5 Using Derivatives in Curve Sketching 24.6 More on Curve Sketching 24.7 Applied Maximum and Minimum Problems 24.8 Differentials and Linear Approximations 25. Integration 25.1 Antiderivatives 25.2 The Indefinite Integral 25.3 The Area Under a Curve 25.4 The Definite Integral 25.5 Numerical Integration: The Trapezoidal Rule 25.6 Simpson's Rule 26. Applications of Integration 26.1 Applications of the Indefinite Integral 26.2 Areas by Integration 26.3 Volumes by Integration 26.4 Centroids 26.5 Moments of Inertia 26.6 Other Appilcations 27. Differentiation of Transcendental Functions 27.1 Derivatives of the Sine and Cosine Functions 27.2 Derivatives of the Other Trigonometric Functions 27.3 Derivatives of the Inverse Trigonometric Functions 27.4 Applications 27.5 Derivative of the Logarithmic Function 27.6 Derivative of the Exponential Function 27.7 L'Hospital's Rule 27.8 Applications 28. Methods of Integration 28.1 The General Power Formula 28.2 The Basic Logarithmic Form 28.3 The Exponential Form 28.4 Basic Trigonometric Forms 28.5 Other Trigonometric Forms 28.6 Inverse Trigonometric Forms 28.7 Integration by Parts 28.8 Integration by Trigonometric Substitution 28.9 Integration by Partial Fractions: Nonrepeated Linear Factors 28.10 Integration by Partial Fractions: Other Cases 28.11 Integration by Use of Tables Appendix A: Solving Word Problems Appendix B: Units of Measurement: The Metric System B.1 Introduction B.2 Reductions and Conversions Appendix C: The Graphing Calculator C.1 Introduction C.2 The Graphing Calculator C.3 Graphing Calculator Programs C.4 The Advanced Graphing Calculator Appendix D: Newton's Method Appendix E: A Table of Integrals Answers to Odd-Numbered Exercises and Quick Chapter Reviews Solutions to Practice Test Problems Index of Applications Index of Writing Exercises Index

Szczegóły: Basic Technical Mathematics with Calculus - Allyn Washington

Tytuł: Basic Technical Mathematics with Calculus
Autor: Allyn Washington
Producent: Pearson
ISBN: 9781292022123
Rok produkcji: 2013
Ilość stron: 1056
Oprawa: Miękka
Waga: 1.92 kg

Recenzje: Basic Technical Mathematics with Calculus - Allyn Washington