Precalculus Notes

Review of Quadratics and other equations and inequalities

1.1 Graphs and Graphing Utilities

1.2 Basic Functions and their Graphs

1.3 More on Functions and their Graphs

1.4 Linear Functions and Slope

1.5 More on Slope

1.6 Transformations of Functions

1.7 Combinations of Functions; Composition

Exam 1 Review notes

1.8 Inverse Functions

1.9 Distance and Midpoint Formulas; Circles

1.10 Modeling with Functions

2.1 Complex Numbers

2.2 Quadratic Functions

2.3 Polynomial Functions and their Graphs

2.4 Dividing Polynomials; Remainder and Factor Theorems

2.5 Zeros of Polynomial Functions

Exam 2 Review notes

2.6 Rational Functions and Their Graphs

2.7 Polynomial and Rational Inequalities

3.1 Exponential Functions and Their Graphs

3.2 Logarithmic Functions and Their Graphs

3.3 Properties of Logarithms

3.4 Exponential and Logarithmic Equations

3.5 Exponential Growth and Decay

Exam 3 Review notes

4.1 Angles and Radian Measures

4.2 Trigonometric Functions: The Unit Circle

4.3 Right Triangle Trigonometry

4.4 Trigonometric Functions of Any Angle

4.5 Graphs of Sine and Cosine Functions

4.7 Inverse Trigonometric Functions

6.1 Law of Sines

6.2 Law of Cosines

Exam 4 Review notes

9.1 Ellipses

9.2 Hyperbolas