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Basic Technical Mathematics with Calculus, SI Version

Basic Technical Mathematics with Calculus, SI Version


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About the Book

College Mathematics Departments, Technology, Continuing Education, or Engineering Departments Career education and some vocational programsThe book is intended for a two or three semester course and is taught primarily to students who plan to pursue technical fields. The primary strength of the text is the heavy integration of technical applications and the solid problem sets. Allyn Washington pioneered the technical mathematics course and the Seventh Edition preserves the author's highly regarded approach to technical mathematics while offering many key improvements.The Seventh Edition has revised design, more heavily integrated graphing technology, and over 200 new technical applications.

Table of Contents:
1. Basic Algebraic Operations. Numbers. Fundamental Laws and Operations of Algebra. Calculators and Approximate Numbers. Exponents. Scientific Notation. Roots and Radicals. Addition and Subtraction of Algebraic Expressions. Multiplication of Algebraic Expressions. Division of Algebraic Expressions. Solving Equations. Formulas and Literal Equations. Applied Word Problems. Chapter Equations, Review Exercises, and Practice Test. 2. Geometry. Lines and Angles. Triangles. Quadrilaterals. Circles. Measurement of Irregular Areas. Solid Geometric Figures. Chapter Equations, Review Exercises, and Practice Test. 3. Functions and Graphs. Introduction to Functions. More About Functions. Rectangular Coordinates. The Graph of a Function. The Graphing Calculator. Review Exercises and Practice Test. 4. The Trigonometric Functions. Angles. Defining the Trigonometric Functions. Values of Trigonometric Functions. The Right Triangle. Applications of Right Triangle. Chapter Equations, Review Exercises, and Practice Test. 5. Systems of Linear Equations; Determinants. Linear Equations. Graphs of Linear Equations. Solving Systems of Two Linear Equations in Two Unknowns Graphically. Solving Systems of Two Linear Equations in Two Unknowns Algebraically. Solving Systems of Two Linear Equations in Two Unknowns by Determinants. Solving Systems of Three Linear Equations in Three Unknowns Algebraically. Solving Systems of Three Linear Equations in Three Unknowns by Determinants. Chapter Equations, Review Exercises, and Practice Test. 6. Factoring and Fractions. Special Products. Factoring: Common Factor and Difference of Squares. Factoring Trinomials. The Sum and Difference of Cubes. Equivalent Fractions. Multiplication and Division of Fractions. Addition and Subtraction of Fractions. Equations Involving Fractions. Chapter Equations, Review Exercises, and Practice Test. 7. Quadratic Equations. Quadratic Equations; Solution by Factoring. Completing the Square. The Quadratic Formula. The Graph of the Quadratic Function. Chapter Equations, Review Exercises, and Practice Test. 8. Trigonometric Functions of Any Angle. Signs of the Trigonometric Functions. Trigonometric Functions of Any Angle. Radians. Applications of Radian Measure. Chapter Equations, Review Exercises, and Practice Test. 9. Vectors and Oblique Triangles. Introduction to Vectors. Components of Vectors. Vector Addition by Components. Application of Vectors. Oblique Triangles, the Law Of Sines. The Law of Cosines. Chapter Equations, Review Exercises, and Practice Test. 10. Graphs of the Trigonometric Functions. Graphs of y = a sin x and y = a cos x. Graphs of y = a sin bx and y = a cos bx. Graphs of y = a sin ( bx + c) and y = a cos (bx + c). Graphs of y = tan x, y = cot x, y= sec x, y = csc x. Applications of Trigonometric Graphs. Composite Trigonometric Curves. Chapter Equations, Review Exercises, and Practice Test. 11. Exponents and Radicals. Simplifying Expressions with Integral Exponents. Fractional Exponents. Simplest Radical Forms. Addition and Subtraction of Radicals. Multiplication and Division of Radicals. Chapter Equations, Review Exercises, and Practice Test. 12. Complex Numbers. Basic Definitions. Basic Operations with Complex Numbers. Graphical Representation of Complex Numbers. Polar Form of a Complex Number. Exponential Form of a Complex Number. Products, Quotients, Powers, and Roots of Complex Numbers. An Application to Alternating-Current (AC) Circuits. Chapter Equations, Review Exercises, and Practice Test. 13. Exponential and Logarithmic Functions. The Exponential and Logarithmic Functions. Graphs of y = bx and y = logb x. Properties of Logarithms. Logarithms to the Base. Natural Logarithms. Exponential and Logarithms Equations. Graphs on Logarithmic and Semilogarithmic Paper. Chapter Equations, Review Exercises, and Practice Test. 14. Additional Types of Equations and Systems of Equations. Graphical Solution of Systems of Equations. Algebraic Solution of Systems of Equations. Equations in Quadratic Form. Equations with Radicals. Review Exercises and Practice Test. 15. Equations of Higher Degree. The Remainder Theorem and the Factor Theorem. Synthetic Division. The Roots of an Equations. Rational and Irrational Roots. Review Exercises, and Practice Test. 16. Determinants and Matrices. Determinants; Expansion by Minors. Some Properties of Determinants. Matrices: Definitions and Basic Operations. Multiplication of Matrices. Finding the Inverse of a Matrix. Matrices and Linear Equations. Chapter Equations, Review Exercises, and Practice Test. 17. Inequalities. Properties of Inequalities. Solving Linear Inequalities. Solving Nonlinear Inequalities. Inequalities Involving Absolute Values. Graphical Solution of Inequalities with Two Variables. Chapter Equations, Review Exercises, and Practice Test. 18. Variation. Ratio and Proportion. Variation. Chapter Equations, Review Exercises, and Practice Test. 19. Sequences and the Binomial Theorem. Arithmetic Sequences. Geometric Sequences. Infinite Geometric Sequences. The Binomial Theorem. Chapter Equations, Review Exercises, and Practice Test. 20. Additional Topics in Trigonometry. Fundamental Trigonometric Identities. The Sum and Difference of Formulas. Double-Angle Formulas. Half-Angle Formulas. Solving Trigonometric Equations. The Inverse Trigonometric Functions. Chapter Equations, Review Exercises, and Practice Test. 21. Plane Analytic Geometry. Basic Definitions. The Straight Line. The Circle. The Parabola. The Ellipse. The Hyperbola. Translation of Axes. The Second-Degree Equation. Polar Coordinates. Curves in Polar Coordinates. Chapter Equations, Review Exercises, and Practice Test. 22. Introduction to Statistics. Frequency Distributions. Measures of Central Tendency. Standard Deviations. Normal Distributions. Statistical Process Control. Linear Regression. Nonlinear Regression. Chapter Equations, Review Exercises, and Practice Test. Supplementary Topics. Gaussian Elimination. Rotation of Axes. Appendix A: Study Aids. Introduction. Suggestions for Study. Solving Word Problems. Appendix B: Units of Measurement; the Metric System. Introduction. Reductions and Conversions. Appendix C: Scientific and Graphing Calculators. Introduction. The Graphing Calculator. Graphing Calculator Programs. Answers to Odd-Numbered Exercises. Solutions to Practice Test Problems. Index of Applications. Index of Writing Problems. Index.


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Product Details
  • ISBN-13: 9780201519037
  • Publisher: Pearson Higher Education
  • Publisher Imprint: Pearson Canada
  • Language: English
  • ISBN-10: 0201519038
  • Publisher Date: 19 Feb 2004
  • Binding: Hardback
  • Weight: 1000 gr


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