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Basic Algebraic Operations | |
Numbers | |
Fundamental 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, R. | |
Geometry | |
Lines and Angles | |
Triangles | |
Quadrilaterals | |
Circles | |
Measurement of Irregular Areas | |
Solid Geometric Figures | |
Functions and Graphs | |
Introduction to Functions | |
More About Functions | |
Rectangular Coordinates | |
The Graph of a Function | |
Graphs on the Graphing Calculator | |
Graphs of Functions Defined by Tables of Data | |
The Trigonometric Functions | |
Angles | |
Defining the Trigonometric Functions | |
Values of the Trigonometric Functions | |
The Right Triangle | |
Applications of Right Triangles | |
Systems of Linear Equations; Determinants | |
Linear Equations | |
Graphs of Linear Functions | |
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 | |
Factoring and Fractions | |
Special Products | |
Factoring: Common Factor and Difference of Squares | |
Factoring Trinomials | |
The Sum and Differences of Cubes | |
Equivalent Fractions | |
Multiplication and Division of Fractions | |
Addition and Subtraction of Fractions | |
Equations Involving Fractions | |
Quadratic Equations | |
Quadratic Equations; Solution by Factoring | |
Completing the Square | |
The Quadratic Formula | |
The Graph of the Quadratic Function | |
Trigonometric Functions of Any Angle | |
Signs of the Trigonometric Functions | |
Trigonometric Functions of Any Angle | |
Radians | |
Applications of Radian Measure | |
Vectors and Oblique Triangles | |
Introduction to Vectors | |
Components of Vectors | |
Vector Addition by Components | |
Applications of Vectors | |
Oblique Triangles, the Law of Sines | |
The Law of Cosines | |
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 the Trigonometric Graphs | |
Composite Trigonometric Curves | |
Exponents and Radicals | |
Simplifying Expressions with Integral Exponents | |
Fractional Exponents | |
Simplest Radical Form | |
Addition and Subtraction of Radicals | |
Multiplication and Division of Radicals | |
Chapter Equations, Review Exercises, and Practice Test | |
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 | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
Logarithms to the Base 10 | |
Natural Logarithms | |
Exponential and Logar | |
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