Basic Technical Mathematics with Calculus

<p>Each chapter contains: &nbsp;Equations, Quick Chapter Review, Review Exercises, Practice Test</p> <p>&nbsp;</p> <p>1.&nbsp; Basic Algebraic Operations</p> <p>1.1 Numbers</p> <p>1.2 Fundamental Operations of Algebra</p> <p>1.3 Calculators and Approximate Numbers</p> <p>1.4 Exponents</p> <p>1.5 Scientific Notation</p> <p>1.6 Roots and Radicals</p> <p>1.7 Addition and Subtraction of Algebraic Expressions</p> <p>1.8 Multiplication of Algebraic Expressions</p> <p>1.9 Division of Algebraic Expressions</p> <p>1.10 Solving Equations</p> <p>1.11 Formulas and Literal Equations</p> <p>1.12 Applied Word Problems</p> <p>2.&nbsp;&nbsp; Geometry</p> <p>2.1 Lines and Angles</p> <p>2.2 Triangles</p> <p>2.3 Quadrilaterals</p> <p>2.4 Circles</p> <p>2.5 Measurement of Irregular Areas</p> <p>2.6 Solid Geometric Figures</p> <p>3.&nbsp; Functions and Graphs</p> <p>3.1 Introduction to Functions</p> <p>3.2 More about Functions</p> <p>3.3 Rectangular Coordinates</p> <p>3.4 The Graph of a Function</p> <p>3.5 Graphs on the Graphing Calculator</p> <p>3.6 Graphs of Functions Defined by Tables of Data</p> <p>4.&nbsp; The Trigonometric Functions</p> <p>4.1 Angles</p> <p>4.2 Defining the Trigonometric Functions</p> <p>4.3 Values of the Trigonometric Functions</p> <p>4.4 The Right Triangle</p> <p>4.5 Applications of Right Triangles</p> <p>5.&nbsp; Systems of Linear Equations; Determinants</p> <p>5.1&nbsp;Linear Equations</p> <p>5.2 Graphs of Linear Functions</p> <p>5.3 Solving Systems of Two Linear Equations in Two Unknowns Graphically</p> <p>5.4 Solving Systems of Two Linear Equations in Two Unknowns Algebraically</p> <p>5.5 Solving Systems of Two Linear Equations in Two Unknowns by Determinants</p> <p>5.6 Solving Systems of Three Linear Equations in Three Unknowns Algebraically</p> <p>5.7 Solving Systems of Three Linear Equations in Three Unknowns by Determinants</p> <p>6.&nbsp;&nbsp;Factoring and Fractions</p> <p>6.1 Special Products</p> <p>6.2 Factoring: Common Factor and Difference of Squares</p> <p>6.3 Factoring Trinomials</p> <p>6.4 The Sum and Difference of Cubes</p> <p>6.5 Equivalent Fractions</p> <p>6.6 Multiplication and Division of Fractions</p> <p>6.7 Addition and Subtraction of Fractions</p> <p>6.8 Equations Involving Fractions</p> <p>7.&nbsp;&nbsp;Quadratic Equations</p> <p>7.1 Quadratic Equations; Solution by Factoring</p> <p>7.2 Completing the Square</p> <p>7.3 The Quadratic Formula</p> <p>7.4 The Graph of the Quadratic Function</p> <p>8.&nbsp;&nbsp;Trigonometric Functions of Any Angle</p> <p>8.1 Signs of the Trigonometric Functions</p> <p>8.2 Trigonometric Functions of Any Angle</p> <p>8.3 Radians</p> <p>8.4 Applications of Radian Measure</p> <p>9.&nbsp; Vectors and Oblique Triangles</p> <p>9.1 Introduction to Vectors</p> <p>9.2 Components of Vectors</p> <p>9.3 Vector Addition by Components</p> <p>9.4 Applications of Vectors</p> <p>9.5 Oblique Triangles, the Law of Sines</p> <p>9.6 The Law of Cosines</p> <p>10.&nbsp; Graphs of the Trigonometric Functions</p> <p>10.1 Graphs of y = a&nbsp; sin x and y = a cos x</p> <p>10.2 Graphs of y&nbsp;= a sin bx and y = a cos bx</p> <p>10.3 Graphs of y = a sin (bx + c ) and y = a cos (bx + c )</p> <p>10.4 Graphs of y = tan x,y = cot x, y = sec x, y = csc x</p> <p>10.5 Applications of the Trigonometric Graphs</p> <p>10.6 Composite Trignometric Curves</p> <p>11.&nbsp; Exponents and Radicals</p> <p>11.1 Simplifying Expressions with Integral Exponents</p> <p>11.2 Fractional Exponents</p> <p>11.3 Simplest Radical Form</p> <p>11.3 Addition and Subtraction of Radicals</p> <p>11.5 Multiplication and Division of Radicals</p> <p>12.&nbsp; Complex Numbers</p> <p>12.1 Basic Definitions</p> <p>12.2 Basic Operations with Complex Numbers</p> <p>12.3 Graphical Representation of Complex Numbers</p> <p>12.4 Polar Form of a Complex Number</p> <p>12.5 Exponential Form of a Complex Number</p>