Precalculus / John W. Coburn.

Content
A review of basic concepts and skills. 1
R.1 The language, notation and numbers of mathematics
R.2 Algebraic expressions and the properties of real numbers
R.3 Exponents, polynomials and operations on polynomials
R.4 Factoring polynomials
R.5 Radicals and rational exponents
Etc.

CHAPTER 1 Equations and Inequalities
1.1 Linear equations, formulas, and problems solving
1.2 Linear Inequalities in one variable with applications
1.3 Solving polynomial and other equations
1.4 Complex numbers
1.5 Solving Nonfactorable quadratic equations

CHAPTER 2 Functions and graphs
2.1 Rectangular coordinates and the graph of a line
2.2 Relations functions and graphs
2.3 Linear functions and rates of change 2.4 Quadratic and other toolbox functions
2.5 Functions and Inequalities a graphical view

CHAPTER 3. Operations on functions and analyzing graphs
3.1 The algebra and composition of functions
3.2 One to one and inverse functions
3.3 Toolbox functions and transmissions
3.4 Graphing general quadratic functions
3.5 Asymptotes and simple rational functions


CHAPTER 4 Polynomial and rational functions
4.1 Polynomial long division and synthetic division
4.2 The remainder and factor Theoremes
4.3 Zeros of polynomial functions
4.4 Graphing polynomial functions
4.5 Graphing rational functions

CHAPTER 5 Exponential and logarithmic functions
5.1 Exponential functions
5.2 Logarithms and logarithmic functions
5.3 The exponential function and natural logarithms
5.4 Exponential / logarithmic equations and applications
5.5 Applications from business, finance and physical science.

CHAPTER 6: An introduction to trigonometric functions
6.1 Angle measure, special triangles, and special angles
6.2 Unit circles and the trigonometry of real numbers
6.3 Graphs of the sine and cosine functions
6.4 Graphs of the tangent and cotangent functions
6.5 Transformations and applications of trigonometric graphs

CHAPTER 7 Identities: Their place, purpose and application
7.1 Fundamental identities and families of identities
7.2 Constructing and verifying identities
7.3 The sun and difference identities
7.4 Double angle half angle and product to sum identities
7.5 The inverse trig functions and their applications

CHAPTER 8 Applications Trigonometry
8.1 Oblique triangles and the law of sines
8.2 The law of sines and the ambiguous case
8.3 The law of consines
8.4 Vectors and vector diagrams
8.5 Vectors applications and the dot product

CHAPTER 9 Systems of equations and Inequalities
9.1 Linear systems in twos variables with applications
9.2 Linear systems in three variables with application
9.3 Systems of Inequalities and linear programming
9.4 Systems and absolute value equations Inequalities
9.5 Solving linear systems using matrices and row operations

CHAPTER 10. Conic sections and Nonlinear systems
10.1 The circle and the ellipse
1.2 The hyperbola
10.3 Non-linear systems of equations and inequalities
10.4 Foci and the analytic ellipse and hyperbola
10.5 The analytic parabola

CHAPTER 11 Additional topics in algebra
11.1 Sequences and series
11. 2 Arithmetic sequences
11.3 Geometric sequences
11.4 Mathematical induction
11.5 Counting techniques

Includes Index: P SA-73 - 1-16