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Preparation for Calculus
by Scott Hopkins
# Preparation for Calculus

## D.1 - Real Numbers and the Real Line

### Rational v. Irrational

### Absolute Value

### Quadratic Inequalities

### Interval and Set Notation

## D.2 - The Cartesian Plane

### Circles

### Distance Formula

### Midpoint Formula

## D.3 Trigonometry Review

### Radians

### Solving Right Triangles

### SOH CAH TOA

### Identities

### Graphing

### Arc Length

## P.1 - Graphs and Models

### Sketch

### Intercepts

### Points of Intersection

### Symmetry

### Mathematical Models

## P.2 - Linear Models and Rates of
Change

### Equation of a line

### Linear Models

### Sketching

### Slope

## P.3 - Functions and their Graphs

### Domain and Range

### Sketching

### Transformations

### Composite

### Evaluating Functions

### Piecewise

## P.4 - Fitting Models to Data

### Linear Models

### Quadratic Models

### Trigonometric Models

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General Form, Complete the Square

Standard Form

Basic

Pythagorean

Double Angle

Power Reducing

Reciprocal

sine

Cosine

Tangent

Secant

Cosecant

Cotangent

Angular Speed

Linear Speed

Standard Form

Point-Slope

Slope-Intercept

Parallel

Perpendicular

Average Rate of Change