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(Most chapters end with Chapter Equations and all chapters end with Review Exercises and Practice Test.) 1. 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. 2. Geometry. Lines and Angles. Triangles. Quadrilaterals. Circles. Measurement of Irregular Areas. Solid Geometric Figures. 3. Functions and Graphs. Introduction to Functions. More About Functions. Rectangular Coordinates. The Graph of a Function. Graphs on the Graphing Calculator. Angles. 4. The Trigonometric Functions. Angles. Defining the Trigonometric Functions. Values of Trigonometric Functions. The Right Triangle. Applications of Right Triangles. 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. 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. 7. Quadratic Equations. Quadratic Equations; Solution by Factoring. Completing the Square. The Quadratic Formula. The Graph of the Quadratic Function. 8. Trigonometric Functions of Any Angle. Signs of the Trigonometric Functions. Trigonometric Functions of Any Angle. Radians. Applications of Radian Measure. 9. 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. 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. 11. Exponents and Radicals. Simplifying Expressions with Integral Exponents. Fractional Exponents. Simplest Radical Forms. Addition and Subtraction of Radicals. Multiplication and Division of Radicals. 12. Complex Numbers. Basic Definitions. Basic Operations with Complex Numbers. Graphical Representation of Complex Numbers. Polar Form of a Complex
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