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  • Basic Math
    • Adding and Subtracting
    • Multiplying and Dividing, including GCF and LCM
    • Decimals
    • Fractions
    • Metric System
  • Pre-Algebra
    • 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
    • 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
    • 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 Absolute Value Equations and Inequalities
    • Solving Radical Equations and Inequalities
    • Imaginary (Non-Real) and Complex Numbers
  • Advanced Algebra
    • Advanced Functions: Compositions, Even and Odd, and Extrema
    • 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
    • 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
    • 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
    • Introduction to Calculus and Study Guides
    • Differential Calculus
    • Integral Calculus
  • Differential Calculus
    • 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
    • Derivatives and Integrals of Inverse Trig Functions
  • Integral Calculus
    • 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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