precalculus

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precalculus by Mind Map: precalculus

1. Basic Concepts of Algebra

1.1. The real number system

1.2. addition, subtraction, and Multiplication of polynomials

1.3. factoring

1.4. rational expressions

1.5. radical notation and rational exponents

2. Graphs, Functions, and Models

2.1. functions and graphs

2.2. Linear Functions. Slope and applications

2.3. equations of lines and Modeling

2.4. The algebra of functions

2.5. 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. Exponential and Logarithmic Funtions

5.1. inverse functions

5.2. exponential functions and Graphs

5.3. logarithmic functions and graphs

5.4. properties of logarithmic functions

5.5. properties of exponential functions

5.6. solving exponential and logarithmic equations

5.7. applications and models: growth and decay

6. The Trigonometric Funtions

6.1. trig functions of acute angles

6.2. applications of right triangles

6.3. sin, cos, tan

6.4. Radians and Degrees

6.5. The Unit Circle

7. Trigonometric Indentities, Inverse Functions, and Equations

7.1. Co-Function Identities

7.2. Pythagorean Identities