Fundamentals of technical mathematics / Sarhan M. Musa.

Format:

Book

Author/Creator:

Musa, Sarhan M., author.

Language:

English

Subjects (All):

Mathematics.

Physical Description:

1 online resource (0 p.)

Edition:

1st edition

Place of Publication:

Amsterdam, [Netherlands] : Academic Press, 2016.

Language Note:

English

System Details:

text file

Summary:

Fundamentals of Technical Mathematics introduces key, applied mathematics for engineering technologists and technicians. Through a simple, engaging approach, the book reviews basic mathematics, including whole numbers, fractions, mixed numbers, decimals, percentages, ratios, and proportions. The book covers conversions to different units of measure (standard and/or metric) and other topics as required by specific businesses and industries, providing a go-to resource on the topic. Building on these foundations, it then explores concepts in arithmetic, introductory algebra, equations, inequalities, and modeling, graphs and functions, measurement, geometry, and trigonometry, all the while supporting these concepts with practical applications in a variety of technical and career vocations, including automotive, allied health, welding, plumbing, machine tool, carpentry, auto mechanics, HVAC, and many other fields. In addition, the book provides practical examples from a vast number of technologies

Contents:

Front Cover

Fundamentals of Technical Mathematics

Copyright

Dedication

Contents

Preface

Acknowledgments

1 - Basic Concepts in Arithmetic

INTRODUCTION

1.1 BASIC ARITHMETIC

1.1.1 Arithmetic operations

1.1.1.1 Addition (+)

Example 1

Solution

1.1.1.2 Subtraction (−)

Example 2

1.1.1.3 Multiplication (×)

Example 3

Example 4

1.1.1.4 Division (÷)

Example 5

Example 6

1.1.1.5 Fraction (-, /)

Example 7

Example 8

Example 9

Example 10

1.1.1.6 Adding or subtracting of fractions

Example 11

Example 12

1.1.1.7 Multiplying fractions

Example 13

Example 14

1.1.1.8 Dividing fractions

Example 15

Example 16

1.1 EXERCISES

1.2 DECIMALS

1.2.1 Rules to rounding off decimals

1.2.2 Addition of decimals

1.2.3 Subtraction of decimals

1.2.4 Multiplication of decimals

1.2.5 Division of decimals

1.2 EXERCISES

1.3 PERCENTS (%)

1.3 EXERCISES

CHAPTER 1 REVIEW EXERCISES

2 - Introduction to Algebra

2.1 INTRODUCTION TO ALGEBRA

2.1.1 Basic principles of addition

2.1.2 Basic principles of multiplication

2.1.3 Exponent and radicals.

Example 1

2.1 EXERCISES

2.2 ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION OF MONOMIALS

2.2.1 Rules for multiplication of monomials

2.2.2 Rules for division of monomials

2.2.3 Addition, subtraction, multiplication, and division of polynomials

2.2 EXERCISES

2.3 RATIO, PROPORTION, AND VARIATION

2.3.1 Ratio

2.3.2 Proportion

2.3.3 Variation

2.3 EXERCISES

CHAPTER 2 REVIEW EXERCISES

3 - Equations, Inequalities, and Modeling

3.1 EQUATIONS

3.1.1 Constructing models to solve problems with one variable

3.1.2 Equations with two variables

3.1.3 Quadratic equations

3.1.4 Equations with rational, radical, and absolute value

3.1.4.1 Rational equation

3.1.4.2 Radical equation

3.1.4.3 Absolute value equation

3.1 EXERCISES

3.2 INEQUALITY EQUATIONS AND INTERVALS

3.2.1 Solving linear inequality

3.2.1.1 Inequality involving absolute value (||)

3.2 EXERCISES

3.3 COMPLEX NUMBERS

Solution.

3.3 EXERCISES

CHAPTER 3 REVIEW EXERCISES

4 - Graphs and Functions

4.1 GRAPHS

4.1.1 Rectangular (Cartesian) coordinates

4.1.2 Distance between points and midpoint

4.1.3 Straight line equation

4.1 EXERCISES

4.2 FUNCTIONS

4.2.1 Theorem: Vertical line test

4.2.2 Inverse of function f−1(x)

4.2 EXERCISES

CHAPTER 4 REVIEW EXERCISES

5 - Measurement

5.1 LENGTH MEASUREMENTS

5.1.1 The metric system

5.1.2 The U.S. customary system

5.1 EXERCISES

5.2 MASS AND WEIGHT MEASUREMENTS

5.2 EXERCISES

5.3 CAPACITY MEASUREMENTS OF LIQUID

5.3 EXERCISES

5.4 TIME MEASUREMENTS

5.4 EXERCISES

5.5 TEMPERATURE (T) MEASUREMENT

5.5 EXERCISES

5.6 DERIVED UNITS

5.6 EXERCISES

CHAPTER 5 REVIEW EXERCISES

Chapter 6 - Geometry

INTRODUCTION.

6.1 BASIC CONCEPTS IN GEOMETRY

6.1 EXERCISES

6.2 ANGLE MEASUREMENT AND TRIANGLES

6.2 EXERCISES

6.3 PERIMETER AND CIRCUMFERENCE IN GEOMETRY

6.3 EXERCISES

6.4 AREA IN GEOMETRY

6.4 EXERCISES

6.5 VOLUME IN GEOMETRY

6.5 EXERCISES

CHAPTER 6 REVIEW EXERCISES

7 - Trigonometry

7.1 UNITS OF ANGLES

7.1 EXERCISES

7.2 TYPES OF ANGLES AND RIGHT TRIANGLE

7.2.1 Right triangle

7.2 EXERCISES

7.3 TRIGONOMETRIC FUNCTIONS

7.3.1 Trigonometry reciprocal identities

7.3.2 Trigonometry complementary (cofunction identities) functions

7.3.3 Trigonometry supplementary functions

7.3.4 Inverse trigonometric functions

7.3 EXERCISES

7.4 UNIT CIRCLE AND OBLIQUE TRIANGLES

Example 1.

Solution

7.4.1 The law of sines

7.4.2 The law of cosines

7.4 EXERCISES

CHAPTER 7 REVIEW EXERCISES

8 - Matrices, Determinants, and Vectors

8.1 MATRICES

Outline placeholder

8.1.1 Operations with matrices and their properties

8.1.1.1 Equality of matrices

8.1.1.2 Addition of matrices

8.1.1.3 Subtraction of matrices

8.1.1.4 Additive identity matrix (zero matrix)

8.1.1.5 Additive inverse (negative) matrix

8.1.1.6 Commutative property of matrix addition

8.1.1.7 Associative property of matrix addition

8.1.1.8 Product of constant (scalar) and a matrix

8.1.1.9 Product of two matrices

8.1.1.10 Multiplicative identity matrix

8.1.1.11 Multiplicative inverse matrix

Method 1

Method 2

8.1.1.12 Transpose of a matrix

8.1.1.13 Symmetric matrix

8.1 EXERCISES

8.2 DETERMINANTS

8.2 EXERCISES

8.3 VECTORS

8.3.1 Vector operations

8.3.2 Standard unit vectors

8.3.3 The dot product

8.3.4 Work

8.3 EXERCISES

CHAPTER 8 REVIEW EXERCISES.

A - MAPLE.

Notes:

Includes index.

Description based on online resource; title from PDF title page (ebrary, viewed December 2, 2015).

ISBN:

9780128020166

0128020164

OCLC:

932329902