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MATH LESSONS
Basic Math
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Adding and Subtracting
Multiplying and Dividing, including GCF and LCM
Decimals
Fractions
Metric System
Pre-Algebra
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Percentages, Ratios, and Proportions
Negative Numbers and Absolute Value
Powers, Exponents, Radicals (Roots), and Scientific Notation
Order of Operations PEMDAS
Introduction to Statistics and Probability
Beginning Algebra
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Introduction to Algebra
Types of Numbers and Algebraic Properties
Solving Algebraic Equations
Linear Inequalities
Coordinate System and Graphing Lines including Inequalities
Direct, Inverse, Joint and Combined Variation
Introduction to the Graphing Display Calculator (GDC)
Intermediate Algebra
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Algebra Word Problems
Systems of Linear Equations and Word Problems
Algebraic Functions, including Domain and Range
Scatter Plots, Correlation, and Regression
Exponents and Radicals in Algebra
Introduction to Multiplying Polynomials
Introduction to Quadratics
Solving Quadratics by Factoring and Completing the Square
Quadratic Inequalities
Quadratic Applications
Solving Radical Equations and Inequalities
Solving Absolute Value Equations and Inequalities
Imaginary (Non-Real) and Complex Numbers
Advanced Algebra
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Compositions of Functions, Even and Odd, and Increasing and Decreasing
Inverses of Functions
Parent Functions and Transformations
Absolute Value Transformations
Piecewise Functions
The Matrix and Solving Systems with Matrices
Introduction to Linear Programming
Advanced Factoring
Rational Functions, Equations and Inequalities
Graphing Rational Functions, including Asymptotes
Graphing and Finding Roots of Polynomial Functions
Exponential Functions
Logarithmic Functions
Solving Inequalities
Solving Systems using Reduced Row Echelon Form
Pre-Calculus
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Conics: Circles, Parabolas, Ellipses, and Hyperbolas
Systems of Non-Linear Equations
Introduction to Vectors
Parametric Equations
Sequences and Series
Binomial Expansion
Introduction to Limits
Trigonometry
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Right Triangle Trigonometry
Angles and the Unit Circle
Linear and Angular Speeds, Area of Sectors, and Length of Arcs
Graphs of Trig Functions
Transformations of Trig Functions
The Inverse Trigonometric Functions
Solving Trigonometric Equations
Trigonometric Identities
Law of Sines and Cosines, and Areas of Triangles
Polar Coordinates, Equations and Graphs
Trigonometry and the Complex Plane
Calculus
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Introduction to Calculus and Study Guides
Differential Calculus
Integral Calculus
Differential Calculus
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Differential Calculus Quick Study Guide
Limits and Continuity
Definition of the Derivative
Basic Differentiation Rules: Constant, Power, Product, Quotient and Trig Rules
Equation of the Tangent Line, Tangent Line Approximation, and Rates of Change
The Chain Rule
Implicit Differentiation and Related Rates
Curve Sketching
Optimization
Differentials, Linear Approximation and Error Propagation
Exponential and Logarithmic Differentiation
Derivatives of Inverse Functions
Integral Calculus
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Integral Calculus Quick Study Guide
Antiderivatives and Indefinite Integration, including Trig Integration
U-Substitution Integration
Differential Equations and Slope Fields
L’Hopital’s Rule
Riemann Sums and Area by Limit Definition
Definite Integration
Exponential and Logarithmic Integration
Exponential Growth Using Calculus
Derivatives and Integrals of Inverse Trig Functions
Applications of Integration: Area and Volume
Integration by Parts
Integration by Partial Fractions
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