Basic Technical Mathematics with Calculus, Pearson New International Edition, 10th edition
Title overview
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.
Offers flexible coverage that easily adapts to fit several courses—the order of chapters can be changed in many places and sections may be included or omitted based on the course length and student major.
Shows how technical math is used on the job—examples and exercises illustrate application of mathematics in all fields of technology, including aeronautics, architecture, civil, construction, energy, wastewater, environmental and more!
Uses a student-friendly layout—with over 1,000 fully-solved examples, example descriptions, chapter introductions, 1170 figures, and 420 margin notes, material is more meaningful.
Reinforces problem-solving techniques before problem sets—authors present important formulas, special cautions, and valuable problem solving techniques in visible boxes that are easy to find.
Offers exceptional problem sets—assignment material totals over 9,000 exercises that span from practice exercises, to writing exercises, to word problems, to practice tests. This edition features:
- 240 practice exercises with answers
- One writing exercise per chapter and 400 additional writing exercises throughout the book
- 700 word problems
- Hundreds of review exercises
- One practice test per chapter with solutions in the back of the book
Also available: MyMathLab online homework website — since 2001, these websites have helped over 9 million students succeed at more than 1,900 colleges and universities. MyMathLab engages students in active learning—it is modular, self-paced, and adaptable to each student’s learning style—and instructors can easily customize MyMathLab to better meet their students’ needs.
This tenth edition features revised explanatory material, new examples, and technical applications to the hottest careers. New exercises have been included in nearly all sections.
- More technical applications show how algebra and trigonometry are used in technical fields such as computer design, electronics, solar energy, automotive, refrigeration, fire science, policing, and more!
- New Quick Chapter Reviews appear before the Review Exercises and include brief true or false questions.
- Earlier coverage of changing units (introduced in Chapter 1 and Chapter 2) provide students with a timely refresher on this basic math skill.
- 230 graphing calculator screens reinforce how to use the TI-89 graphing calculator for computations, charting and 14 other graphing calculator programs (see Section 1.3, 3.5, and Appendix C).
- Over 1300 new exercises give students ample opportunity for practice and homework.
- Over 330 applied exercises reinforce why math matters in technical and science fields.
- 150 new word problems encourage students to develop higher level thinking skills.
- 90 new figures, 60 new margin notes, and 90 new note indicators keep explanatory material, and your course, current.
Table of contents
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
Author bios
The late Allyn J. Washington received his Master's Degree from Brown University. He was Professor of Mathematics at Dutchess Community College (Poughkeepsie, New York) where he served as the Mathematics Department Head as well as Dean of the College. Allyn was a founding member of the New York State Mathematics Association of Two-Year Colleges and a founding member of the American Mathematics Association of Two-Year Colleges. He was awarded an Honorary Doctorate Degree by State University of New York. He is listed in Who's Who in America. The Allyn J. Washington Center for Science and Art Building is named in his honor at Dutchess Community College. Allyn authored several textbooks in Technical Mathematics, including Basic Technical Mathematics.