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precalculus by Mind Map: precalculus

1. Basic Concepts of Algebra

1.1. The real number system

1.2. Integer Exponents, Scientific Notations and order of operations

1.3. addition, subtraction, and Multiplication of polynomials

1.4. factoring

1.5. rational expressions

1.6. radical notation and rational exponents

1.7. New node

2. Graphs, Functions, and Models

2.1. intro to graphing

2.2. functions and graphs

2.3. Linear Functions. Slope and applications

2.4. equations of lines and Modeling

2.5. more on functions

2.6. The algebra of functions

2.7. symmetry and transformations

3. Polynomial and Rational Functions

3.1. polynomial functions and models

3.2. polynomial division: the remainder and factor theorems

3.3. theorems about zeros of polynomial functions

3.4. rational functions

3.5. polynomial and rational inequalities

3.6. variation and applications

4. functions, equations and Inequalities

4.1. polynomial functions and models

4.2. complex numbers

4.3. Quadratic equations, functions and models

4.4. analyzing graphs of quadratic functions

4.5. solving linear inequalities

5. Conic sections

6. Sequences. series, and Combinatorics

7. Systems of Equations and Matrices

8. Exponential and Logarithmic Funtions

8.1. inverse functions

8.2. exponential functions and Graphs

8.3. logarithmic functions and graphs

8.4. properties of logarithmic functions

8.5. properties of log functions

8.6. solving exponential and logarithmic equations

8.7. applications and models: growth and decay

9. The Trigonometric Funtions

9.1. trig functions of acute angles

9.2. applications of right triangles

9.3. trig functions of any angle

9.4. New node

10. Trigonometric Indentities, Inverse Functions, and Equations

11. Applications of Trigonometry