{"product_id":"technical-mathematics-with-calculus-isbn-9780470464724","title":"Technical Mathematics with Calculus","description":"\u003cp\u003eThis text is designed to provide a mathematically rigorous, comprehensive coverage of topics and applications, while still being accessible to students. Calter\/Calter focuses on developing students’ critical thinking skills as well as improving their proficiency in a broad range of technical math topics such as algebra, linear equations, functions, and integrals. Using abundant examples and graphics throughout the text, this edition provides several features to help students visualize problems and better understand the concepts. Calter\/Calter has been praised for its real-life and engineering-oriented applications. The sixth edition of Technical Mathematics has added back in popular topics including statistics and line graphing in order to provide a comprehensive coverage of topics and applications—everything the technical student may need is included, with the emphasis always on clarity and practical applications. \u003ci\u003eWileyPLUS\u003c\/i\u003e, an online teaching and learning environment that integrates the entire digital text, will be available with this edition.\u003c\/p\u003e  \u003cb\u003e1 Review of Numerical Computation.\u003c\/b\u003e  \u003cp\u003e1-1 The Real Numbers.\u003c\/p\u003e \u003cp\u003e1-2 Addition and Subtraction.\u003c\/p\u003e \u003cp\u003e1-3 Multiplication.\u003c\/p\u003e \u003cp\u003e1-4 Division.\u003c\/p\u003e \u003cp\u003e1-5 Powers and Roots.\u003c\/p\u003e \u003cp\u003e1-6 Combined Operations.\u003c\/p\u003e \u003cp\u003e1-7 Scientific Notation and Engineering Notation.\u003c\/p\u003e \u003cp\u003e1-8 Units of Measurement.\u003c\/p\u003e \u003cp\u003e1-9 Percentage.\u003c\/p\u003e \u003cp\u003eChapter 1 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Introduction to Algebra.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2-1 Algebraic Expressions.\u003c\/p\u003e \u003cp\u003e2-2 Adding and Subtracting.\u003c\/p\u003e \u003cp\u003ePolynomials 59 2-3 Laws of Exponents.\u003c\/p\u003e \u003cp\u003e2-4 Product of Two Monomials.\u003c\/p\u003e \u003cp\u003e2-5 Product of a Multinomial and a Monomial.\u003c\/p\u003e \u003cp\u003e2-6 Product of Two Binomials.\u003c\/p\u003e \u003cp\u003e2-7 Product of Two Multinomials.\u003c\/p\u003e \u003cp\u003e2-8 Powers of Multinomials.\u003c\/p\u003e \u003cp\u003e2-9 Removing Symbols of Grouping.\u003c\/p\u003e \u003cp\u003e2-10 Quotient of Two Monomials.\u003c\/p\u003e \u003cp\u003e2-11 Dividing a Polynomial by a Monomial.\u003c\/p\u003e \u003cp\u003e2-12 Quotient of Two Polynomials.\u003c\/p\u003e \u003cp\u003eChapter 2 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Simple Equations and Word Problems.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3-1 Solving First-Degree Equations.\u003c\/p\u003e \u003cp\u003e3-2 Solving Word Problems.\u003c\/p\u003e \u003cp\u003e3-3 Uniform Motion.\u003c\/p\u003e \u003cp\u003e3-4 Financial.\u003c\/p\u003e \u003cp\u003e3-5 Mixtures.\u003c\/p\u003e \u003cp\u003e3-6 Statics.\u003c\/p\u003e \u003cp\u003e3-7 Work, Fluid Flow, and Energy Flow.\u003c\/p\u003e \u003cp\u003eChapter 3 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eFunctions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4-1 Functions and Relations.\u003c\/p\u003e \u003cp\u003e4-2 More on Functions.\u003c\/p\u003e \u003cp\u003eChapter 4 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Graphs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5-1 Rectangular Coordinates.\u003c\/p\u003e \u003cp\u003e5-2 Graphing an Equation.\u003c\/p\u003e \u003cp\u003e5-3 Graphing a Function by Calculator.\u003c\/p\u003e \u003cp\u003e5-4 The Straight Line.\u003c\/p\u003e \u003cp\u003e5-5 Solving an Equation Graphically.\u003c\/p\u003e \u003cp\u003eChapter 5 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Geometry.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6-1 Straight Lines and Angles.\u003c\/p\u003e \u003cp\u003e6-2 Triangles.\u003c\/p\u003e \u003cp\u003e6-3 Quadrilaterals.\u003c\/p\u003e \u003cp\u003e6-4 The Circle.\u003c\/p\u003e \u003cp\u003e6-5 Volumes and Areas of Solids.\u003c\/p\u003e \u003cp\u003eChapter 6 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Right Triangles and Vectors.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7-1 The Trigonometric Functions.\u003c\/p\u003e \u003cp\u003e7-2 Solution of Right Triangles.\u003c\/p\u003e \u003cp\u003e7-3 Applications of the Right Triangle.\u003c\/p\u003e \u003cp\u003e7-4 Introduction to Vectors.\u003c\/p\u003e \u003cp\u003e7-5 Applications of Vectors.\u003c\/p\u003e \u003cp\u003eChapter 7 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Oblique Triangles and Vectors.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8-1 Trigonometric Functions of Any Angle.\u003c\/p\u003e \u003cp\u003e8-2 Finding the Angle When the Trigonometric Function Is Kown.\u003c\/p\u003e \u003cp\u003e8-3 Law of Sines.\u003c\/p\u003e \u003cp\u003e8-4 Law of Cosines.\u003c\/p\u003e \u003cp\u003e8-5 Applications.\u003c\/p\u003e \u003cp\u003e8-6 Resultants of Nonperpendicular Vectors.\u003c\/p\u003e \u003cp\u003eChapter 8 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Systems of Linear Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9-1 Systems of Two Linear Equations.\u003c\/p\u003e \u003cp\u003e9-2 Other Systems of Equations.\u003c\/p\u003e \u003cp\u003e9-3 Applications.\u003c\/p\u003e \u003cp\u003e9-4 Systems of Three Linear Equations.\u003c\/p\u003e \u003cp\u003eChapter 9 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Matrices and Determinants.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10-1 Introduction to Matrices.\u003c\/p\u003e \u003cp\u003e10-2 Solving Systems of Equations by the Unit Matrix Method.\u003c\/p\u003e \u003cp\u003e10-3 Second-Order Determinants.\u003c\/p\u003e \u003cp\u003e10-4 Higher-Order Determinants.\u003c\/p\u003e \u003cp\u003eChapter 10 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Factoring and Fractions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11-1 Common Factors.\u003c\/p\u003e \u003cp\u003e11-2 Difference of Two Squares.\u003c\/p\u003e \u003cp\u003e11-3 Factoring Trinomials.\u003c\/p\u003e \u003cp\u003e11-4 Other Factorable Expressions.\u003c\/p\u003e \u003cp\u003e11-5 Simplification of Fractions.\u003c\/p\u003e \u003cp\u003e11-6 Multiplication and Division of Fractions.\u003c\/p\u003e \u003cp\u003e11-7 Addition and Subtraction of Fractions.\u003c\/p\u003e \u003cp\u003e11-8 Complex Fractions.\u003c\/p\u003e \u003cp\u003e11-9 Fractional Equations.\u003c\/p\u003e \u003cp\u003e11-10 Literal Equations and Formulas.\u003c\/p\u003e \u003cp\u003eChapter 11 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Quadratic Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12-1 Solving a Quadratic Equation by Calculator.\u003c\/p\u003e \u003cp\u003e12-2 Solving a Quadratic by Formula.\u003c\/p\u003e \u003cp\u003e12-3 Applications.\u003c\/p\u003e \u003cp\u003eChapter 12 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Exponents and Radicals.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13-1 Integral Exponents.\u003c\/p\u003e \u003cp\u003e13-2 Simplification of Radicals.\u003c\/p\u003e \u003cp\u003e13-3 Operations with Radicals.\u003c\/p\u003e \u003cp\u003e13-4 Radical Equations.\u003c\/p\u003e \u003cp\u003eChapter 13 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Radian Measure, Arc Length, and Rotation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14-1 Radian Measure.\u003c\/p\u003e \u003cp\u003e14-2 Arc Length.\u003c\/p\u003e \u003cp\u003e14-3 Uniform Circular Motion.\u003c\/p\u003e \u003cp\u003eChapter 14 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Trigonometric, Parametric, and Polar Graphs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15-1 Graphing the Sine Wave by Calculator.\u003c\/p\u003e \u003cp\u003e15-2 Manual Graphing of the Sine Wave.\u003c\/p\u003e \u003cp\u003e15-3 The Sine Wave as a Function of Time.\u003c\/p\u003e \u003cp\u003e15-4 Graphs of the Other Trigonometric Functions.\u003c\/p\u003e \u003cp\u003e15-5 Graphing Parametric Equations.\u003c\/p\u003e \u003cp\u003e15-6 Graphing in Polar Coordinates.\u003c\/p\u003e \u003cp\u003eChapter 15 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Trigonometric Identities and Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16-1 Fundamental Identities.\u003c\/p\u003e \u003cp\u003e16-2 Sum or Difference of Two Angles.\u003c\/p\u003e \u003cp\u003e16-3 Functions of Double Angles and Half-Angles.\u003c\/p\u003e \u003cp\u003e16-4 Evaluating Trigonometric Expressions.\u003c\/p\u003e \u003cp\u003e16-5 Solving Trigonometric Equations.\u003c\/p\u003e \u003cp\u003eChapter 16 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Ratio, Proportion, and Variation.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17-1 Ratio and Proportion.\u003c\/p\u003e \u003cp\u003e17-2 Similar Figures.\u003c\/p\u003e \u003cp\u003e17-3 Direct Variation.\u003c\/p\u003e \u003cp\u003e17-4 The Power Function.\u003c\/p\u003e \u003cp\u003e17-5 Inverse Variation.\u003c\/p\u003e \u003cp\u003e17-6 Functions of More Than One Variable.\u003c\/p\u003e \u003cp\u003eChapter 17 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Exponential and Logarithmic Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18-1 The Exponential Function.\u003c\/p\u003e \u003cp\u003e18-2 Logarithms.\u003c\/p\u003e \u003cp\u003e18-3 Properties of Logarithms.\u003c\/p\u003e \u003cp\u003e18-4 Exponential Equations.\u003c\/p\u003e \u003cp\u003e18-5 Solving Logarithmic Equations.\u003c\/p\u003e \u003cp\u003eChapter 18 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Complex Numbers.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19-1 Complex Numbers in Rectangular Form.\u003c\/p\u003e \u003cp\u003e19-2 Complex Numbers in Polar Form.\u003c\/p\u003e \u003cp\u003e19-3 Complex Numbers on the Calculator.\u003c\/p\u003e \u003cp\u003e19-4 Vector Operations Using Complex Numbers.\u003c\/p\u003e \u003cp\u003e19-5 Alternating Current Applications.\u003c\/p\u003e \u003cp\u003eChapter 19 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Sequences, Series, and the Binomial Theorem.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20-1 Sequences and Series.\u003c\/p\u003e \u003cp\u003e20-2 Arithmetic and Harmonic Progressions.\u003c\/p\u003e \u003cp\u003e20-3 Geometric Progressions.\u003c\/p\u003e \u003cp\u003e20-4 Infinite Geometric Progressions.\u003c\/p\u003e \u003cp\u003e20-5 The Binomial Theorem.\u003c\/p\u003e \u003cp\u003eChapter 20 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Introduction to Statistics and Probability.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21-1 Definitions and Terminology.\u003c\/p\u003e \u003cp\u003e21-2 Frequency Distributions.\u003c\/p\u003e \u003cp\u003e21-3 Numerical Description of Data.\u003c\/p\u003e \u003cp\u003e21-4 Introduction to Probability.\u003c\/p\u003e \u003cp\u003e21-5 The Normal Curve.\u003c\/p\u003e \u003cp\u003e21-6 Standard Errors.\u003c\/p\u003e \u003cp\u003e21-7 Process Control.\u003c\/p\u003e \u003cp\u003e21-8 Regression.\u003c\/p\u003e \u003cp\u003eChapter 21 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e22 Analytic Geometry.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22-1 The Straight Line.\u003c\/p\u003e \u003cp\u003e22-2 Equation of a Straight Line.\u003c\/p\u003e \u003cp\u003e22-3 The Circle.\u003c\/p\u003e \u003cp\u003e22-4 The Parabola.\u003c\/p\u003e \u003cp\u003e22-5 The Ellipse.\u003c\/p\u003e \u003cp\u003e22-6 The Hyperbola.\u003c\/p\u003e \u003cp\u003eChapter 22 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e23 Derivatives of Algebraic Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23-1 Limits.\u003c\/p\u003e \u003cp\u003e23-2 Rate of Change and the Tangent.\u003c\/p\u003e \u003cp\u003e23-3 The Derivative.\u003c\/p\u003e \u003cp\u003e23-4 Rules for Derivatives.\u003c\/p\u003e \u003cp\u003e23-5 Derivative of a Function Raised to a Power.\u003c\/p\u003e \u003cp\u003e23-6 Derivatives of Products and Quotients.\u003c\/p\u003e \u003cp\u003e23-7 Other Variables, Implicit Relations, and Differentials.\u003c\/p\u003e \u003cp\u003e23-8 Higher-Order Derivatives.\u003c\/p\u003e \u003cp\u003eChapter 23 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e24 Graphical Applications of the Derivative.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e24-1 Equations of Tangents and Normals.\u003c\/p\u003e \u003cp\u003e24-2 Maximum, Minimum, and Inflection Points.\u003c\/p\u003e \u003cp\u003e24-3 Sketching, Verifying, and Interpreting Graphs.\u003c\/p\u003e \u003cp\u003eChapter 24 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e25 More Applications of the Derivative.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e25-1 Rate of Change.\u003c\/p\u003e \u003cp\u003e25-2 Motion of a Point.\u003c\/p\u003e \u003cp\u003e25-3 Related Rates.\u003c\/p\u003e \u003cp\u003e25-4 Optimization.\u003c\/p\u003e \u003cp\u003eChapter 25 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e26 Integration.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e26-1 The Indefinite Integral.\u003c\/p\u003e \u003cp\u003e26-2 Rules for Finding Integrals.\u003c\/p\u003e \u003cp\u003e26-3 Simple Differential Equations.\u003c\/p\u003e \u003cp\u003e26-4 The Definite Integral.\u003c\/p\u003e \u003cp\u003e26-5 Approximate Area under a Curve.\u003c\/p\u003e \u003cp\u003e26-6 Exact Area under a Curve.\u003c\/p\u003e \u003cp\u003eChapter 26 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e27 Applications of the Integral.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e27-1 Applications to Motion.\u003c\/p\u003e \u003cp\u003e27-2 Applications to Eletric Circuits.\u003c\/p\u003e \u003cp\u003e27-3 Finding Areas by Integration.\u003c\/p\u003e \u003cp\u003e27-4 Volumes by Integration.\u003c\/p\u003e \u003cp\u003eChapter 27 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e28 More Applications of the Integral.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e28-1 Length of Arc.\u003c\/p\u003e \u003cp\u003e28-2 Area of Surface of Revolution.\u003c\/p\u003e \u003cp\u003e28-3 Centroids.\u003c\/p\u003e \u003cp\u003e28-4 Fluid Pressure.\u003c\/p\u003e \u003cp\u003e28-5 Work.\u003c\/p\u003e \u003cp\u003e28-6 Moment of Inertia.\u003c\/p\u003e \u003cp\u003eChapter 28 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e29 Trigonometric, Logarithmic, and Exponential Functions.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e29-1 Derivatives of the Sine and Cosine Functions.\u003c\/p\u003e \u003cp\u003e29-2 Derivatives of the Other Trigonometric Functions.\u003c\/p\u003e \u003cp\u003e29-3 Derivatives of the Inverse Trigonometric Functions.\u003c\/p\u003e \u003cp\u003e29-4 Derivatives of Logarithmic Functions.\u003c\/p\u003e \u003cp\u003e29-5 Derivatives of the Exponential Functions.\u003c\/p\u003e \u003cp\u003e29-6 Integrals of the Exponential and Logarithmic Functions.\u003c\/p\u003e \u003cp\u003e29-7 Integrals of the Trigonometric Functions.\u003c\/p\u003e \u003cp\u003e29-8 Average and Root Mean Square Values.\u003c\/p\u003e \u003cp\u003eChapter 29 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e30 First-Order Differential Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e30-1 Definitions.\u003c\/p\u003e \u003cp\u003e30-2 Solving a DE by Calculator, Graphically, and Numerically.\u003c\/p\u003e \u003cp\u003e30-3 First-Order DE: Variables Separable.\u003c\/p\u003e \u003cp\u003e30-4 Exact First-Order DE.\u003c\/p\u003e \u003cp\u003e30-5 First-Order Homogeneous DE.\u003c\/p\u003e \u003cp\u003e30-6 First-Order Linear DE.\u003c\/p\u003e \u003cp\u003e30-7 Geometric Applications of First-Order DE.\u003c\/p\u003e \u003cp\u003e30-8 Exponential Growth and Decay.\u003c\/p\u003e \u003cp\u003e30-9 Series RL and RC Circuits.\u003c\/p\u003e \u003cp\u003eChapter 30 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e31 Second-Order Differential Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e31-1 Second-Order DE.\u003c\/p\u003e \u003cp\u003e31-2 Constant Coefficients and Right Side Zero.\u003c\/p\u003e \u003cp\u003e31-3 Right Side Not Zero.\u003c\/p\u003e \u003cp\u003e31-4 Mechanical Vibrations.\u003c\/p\u003e \u003cp\u003e31-5 RLC Circuits.\u003c\/p\u003e \u003cp\u003eChapter 31 Review Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAppendices.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA Summary of Facts and Formulas A-1.\u003c\/p\u003e \u003cp\u003eB Conversion Factors A-27.\u003c\/p\u003e \u003cp\u003eC Table of Integrals.\u003c\/p\u003e \u003cp\u003eD Answers to Selected Problems.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eIndexes.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIndex to Applications.\u003c\/p\u003e \u003cp\u003eGeneral Index.\u003c\/p\u003e \u003cb\u003ePaul A. Calter\u003c\/b\u003e is a Visiting Scholar at Dartmouth College and Professor Emeritus of Mathematics at Vermont Technical College. He is a book review editor of the \u003ci\u003eNexus Network Journal\u003c\/i\u003e and has interests in both the fields of mathematics and art. He received his B.S. from Cooper Union and his M.S. from Columbia University, both in engineering, and his Masters of Fine Arts Degree from Norwich University. Calter has taught mathematics for over twenty-five years and is the author of ten mathematics textbooks and a mystery novel. He has been an active painter and sculptor since 1968, has had many solo shows and participated in dozens of group art shows, and has permanent outdoor sculptures at a number of locations. Calter developed a course called \"Geometry in Art \u0026amp; Architecture,\" which he has taught at Dartmouth College and Vermont Technical College, and he has taught at Dartmouth College and Vermont Technical College, and he has given workshops and lectures on the subject. Calter's own art is concerned with astronomical and geometric themes; he searches for a link between the organic and geometric basis of beauty, what has been called the \u003ci\u003ephilosopher's stone of aesthetics\u003c\/i\u003e.","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47990139158757,"sku":"NP9780470464724","price":111.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470464724.jpg?v=1761786654","url":"https:\/\/k12savings.com\/es\/products\/technical-mathematics-with-calculus-isbn-9780470464724","provider":"K12savings","version":"1.0","type":"link"}