TECHNICAL MATHEMATICS WITH CALCULUS PDF

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Genre/Form: Document Type: All Authors / Contributors: ISBN: OCLC Number: Notes: Description: Contents: Responsibility:
Textbooks
Book
Allyn J Washington; Rictough S Evans
9780134437736 013443773X
948805239
Includes indexes.
1 volume (assorted pagings) : shade illustrations ; 29 cm
1 Basic Algebraic Operations 1.1 Numbers 1.2 Fundapsychological Operations of Algebra 1.3 Calculators and Approximate Numbers 1.4 Exponents and Unit Conversions 1.5 Scientific Notation 1.6 Roots and Radicals 1.7 Addition and also Subtractivity 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 Geomeattempt 2.1 Lines and Angles 2.2 Triangles 2.3 Quadrilaterals 2.4 Circles 2.5 Measurement of Ircontinuous Areas 2.6 Solid Geometric Figures 3 Functions and also Graphs 3.1 Summary to Functions 3.2 More about Functions 3.3 Rectangle-shaped Coordinates 3.4 The Graph of a Function 3.5 Graphs on the Graphing Calculator 3.6 Graphs of Functions Defined by Tables of Documents 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 Equipment of Linear Equations Determinants 5.1 Linear Equations and Graphs of Linear Functions 5.2 Equipment of Equations and also Graphical Solutions 5.3 Solving Systems of Two Liclose to Equations in Two Unknowns Algebraically 5.4 Solving Equipment of Two Liclose to Equations in Two Unknowns by Determinants 5.5 Solving Systems of Three Liclose to Equations in Three Unknowns Algebraically 5.6 Solving Systems of Three Liclose to Equations in Three Unknowns by Determinants 6 Factoring and also Fractions 6.1 Factoring: Greatest Typical Factor and Difference of Squares 6.2 Factoring Trinomials 6.3 The Sum and Difference of Cubes 6.4 Equivalent Fractions 6.5 Multiplication and Division of Fractions 6.6 Addition and also Subtraction of Fractions 6.7 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 also Oblique Triangles 9.1 Summary to Vectors 9.2 Materials of Vectors 9.3 Vector Addition by Contents 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 also 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 also 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 Trigonometric Curves 11 Exponents and Radicals 11.1 Simplifying Expressions with Integer Exponents 11.2 Fractional Exponents 11.3 Simplest Radical Form 11.4 Addition and Subtractivity of Radicals 11.5 Multiplication and Division of Radicals 12 Complex Numbers 12.1 Basic Definitions 12.2 Basic Operations via 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-existing (ac) Circuits 13 Exponential and also 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 also Logarithmic Equations 13.7 Graphs on Logarithmic and Semilogarithmic Paper 14 More Types of Equations and also Equipment of Equations 14.1 Graphical Systems of Systems of Equations 14.2 Algebraic Equipment 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 also 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 also Basic Operations 16.2 Multiplication of Matrices 16.3 Finding the Inverse of a Matrix 16.4 Matrices and Liclose to Equations 16.5 Gaussian Elimicountry 16.6 Higher-order Determinants 17 Inequalities 17.1 Properties of Ineattributes 17.2 Solving Liclose to Inefeatures 17.3 Solving Nonstraight Inecharacteristics 17.4 Inefeatures Involving Absolute Values 17.5 Graphical Equipment of Ineattributes via Two Variables 17.6 Liclose to 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 Trigonomeattempt 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 Geomeattempt 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 Overview to Statistics 22.1 Graphical Displays of File 22.2 Measures of Central Tendency 22.3 Standard Deviation 22.4 Common 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 The Derivative 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 Functions 23.9 Higher Derivatives 24 Applications of the Derivative 24.1 Tangents and Normals 24.2 Newton"s Method for Solving Equations 24.3 Curvistraight Motion 24.4 Related Rates 24.5 Using Derivatives in Curve Sketching 24.6 More on Curve Sketching 24.7 Applied Maximum and also Minimum Problems 24.8 Differentials and also Liclose to 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 Applications 27 Differentiation of Transcendental Functions 27.1 Derivatives of the Sine and also 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 Power Rule for Integration 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: Non-repetitive Liclose to Factors 28.10 Integration by Partial Fractions: Other Cases 28.11 Integration by Use of Tables 29 Partial Derivatives and Double Integrals 29.1 Functions of Two Variables 29.2 Curves and also Surfaces in Three Dimensions 29.3 Partial Derivatives 29.4 Double Integrals 30 Expansion of Functions in Series 30.1 Infinite Series 30.2 Maclaurin Series 30.3 Operations with Series 30.4 Computations by Use of Series Expansions 30.5 Taylor Series 30.6 Summary to Fourier Series 30.7 More About Fourier Series 31 Differential Equations 31.1 Solutions of Differential Equations 31.2 Separation of Variables 31.3 Integrating Combicountries 31.4 The Linear Differential Equation of the First Order 31.5 Numerical Solutions of First-order Equations 31.6 Elementary Applications 31.7 Higher-order Homogeneous Equations 31.8 Auxiliary Equation through Repeated or Complex Roots 31.9 Solutions of Nonhomogeneous Equations 31.10 Applications of Higher-order Equations 31.11 Lalocation Transdevelops 31.12 Solving Differential Equations by Lalocation Transcreates Appendix A Solving Word Problems Appendix B Units of Measurement Appendix C Newton"s Method Appendix D A Table of Integrals
Allyn J. Washington, Dutchess Community College, Richard S. Evans, Corning Community College.