# precalculus

#####
by yi yao
05/21/2007

## precalculus

by yi yao
## 1. Sequences. series, and Combinatorics

## 2. Systems of Equations and Matrices

## 3. Basic Concepts of Algebra

### 3.1. The real number system

### 3.2. Integer Exponents, Scientific Notations and order of operations

### 3.3. addition, subtraction, and Multiplication of polynomials

### 3.4. factoring

### 3.5. rational expressions

### 3.6. radical notation and rational exponents

### 3.7. New node

## 4. Graphs, Functions, and Models

### 4.1. intro to graphing

### 4.2. functions and graphs

### 4.3. Linear Functions. Slope and applications

### 4.4. equations of lines and Modeling

### 4.5. more on functions

### 4.6. The algebra of functions

### 4.7. symmetry and transformations

## 5. Polynomial and Rational Functions

### 5.1. polynomial functions and models

### 5.2. polynomial division: the remainder and factor theorems

### 5.3. theorems about zeros of polynomial functions

### 5.4. rational functions

### 5.5. polynomial and rational inequalities

### 5.6. variation and applications

## 6. functions, equations and Inequalities

### 6.1. polynomial functions and models

### 6.2. complex numbers

### 6.3. Quadratic equations, functions and models

### 6.4. analyzing graphs of quadratic functions

### 6.5. solving linear inequalities

## 7. Exponential and Logarithmic Funtions

### 7.1. inverse functions

### 7.2. exponential functions and Graphs

### 7.3. logarithmic functions and graphs

### 7.4. properties of logarithmic functions

### 7.5. properties of log functions

### 7.6. solving exponential and logarithmic equations

### 7.7. applications and models: growth and decay

## 8. The Trigonometric Funtions

### 8.1. trig functions of acute angles

### 8.2. applications of right triangles

### 8.3. trig functions of any angle

### 8.4. New node

## 9. Trigonometric Indentities, Inverse Functions, and Equations

## 10. Conic sections

## 11. Applications of Trigonometry

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