# precalculus

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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