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Preparation for Calculus by Mind Map: Preparation for Calculus
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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

General Form, Complete the Square

Standard Form

Distance Formula

Midpoint Formula

D.3 Trigonometry Review

Radians

Solving Right Triangles

SOH CAH TOA

Identities

Basic

Pythagorean

Double Angle

Power Reducing

Reciprocal

Graphing

sine

Cosine

Tangent

Secant

Cosecant

Cotangent

Arc Length

Angular Speed

Linear Speed

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

Standard Form

Point-Slope

Slope-Intercept

Linear Models

Sketching

Slope

Parallel

Perpendicular

Average Rate of Change

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