Quantcast Pre-Calculus and Intro to Probability

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Chapter 1 - Straight Lines

Distance Between Two Points
Inclination and Slope
Slopes of Parallel and Perpendicular Lines
Angle Between Two Lines
Equation of a Straight Line
Parallel and Perpendicular Lines
Distance from a Point to a Line


Chapter 2 - Conic Sections

The Locus of an Equation
The Circle
Practice Problems
The Parabola
Practice Problems
The Ellipse
Practice Problems
Practice Problems
The Hyperbola
The equations of the asymptotes
Practice Problems
Polar Coordinates
Transformation from Polar to Cartesian Coordinates
Practice Problems
Additional Practice Problems


Chapter 3 - Tangents, Normals, and Slopes of Curves

Tangent at a Given Point on the Standard Parabola
Tangent at a Given Point on Other Curves
Equations and Lengths of Tangents and Normals
Parametric Equations
Motion in a Circle
Other Parametric Equations
Practice Problems
Additional Practice Problems


Chapter 4 - Limits and Differentiation

Practice Problems
Indeterminate Forms
Limit Theorems
Infinitesimals
Discontinuities
Increments and Differentiation
General Formula
Practice Problems


Chapter 5 - Derivatives

Derivatives of Variables
Sums
Products
Quotients
Powers of Functions
Radicals
Chain Rule
Inverse Functions
Implicit Functions
Trigonometric Functions
Trigonometric Functions
Natural Logarithmic Functions
Derivative of Constants to Variable Powers
Additional Practice Problems


Chapter 6 - Integration

Area Under a Curve
Indefinite Integrals
Rules for Integration
Practice Problems
Definite Integrals
Solution
Practice Problems
Integration Formulas
Sums
Power of a Function
Quotient
Proof
Practice Problems
Constant to a Variable Power
Proof
Trigonometric Functions
Practice Problems
Powers of Trigonometric Functions


Chapter 8 - Combinations and Permutations

Combinations
Principle of Choice
Permutations
Practice Problems
Practice Problems
Probability
Probability of Success
Probability of Failure
Expectation
Compound Probabilities
Dependent Events
Mutually Exclusive Events
Empirical Probabilities




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