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Overview and List of Topics
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
Algebra Review
Introduction to Algebra
Types of Numbers and Algebraic Properties
Solving Algebraic (Linear) 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
Algebraic Functions, including Domain and Range
Advanced Functions: Compositions, Even and Odd, and Extrema
Algebra Word Problems
Systems of Linear Equations and Word Problems
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
Imaginary (Non-Real) and Complex Numbers
Solving Absolute Value Equations and Inequalities
Solving Radical Equations and Inequalities
Solving Inequalities
Advanced Algebra
Inverses of Functions
Parent Functions and Transformations
Absolute Value Transformations
Piecewise Functions
The Matrix and Solving Systems with Matrices
Solving Systems using Reduced Row Echelon Form
Introduction to Linear Programming
Rational Functions, Equations, and Inequalities
Graphing Rational Functions, including Asymptotes
Graphing and Finding Roots of Polynomial Functions
Exponential Functions
Logarithmic Functions
Advanced Factoring
Pre-Calculus
Conics Part 1: Circles and Parabolas
Conics: Part 2: 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 Trigonometric Functions
Transformations of Trigonometric Functions, including Applications
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
Differential Calculus
Introduction to Calculus and Study Guides
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
Extreme Value Theorem, Rolle’s Theorem, and Mean Value Theorem
Curve Sketching
Optimization Using Calculus
Differentials, Linear Approximation, and Error Propagation
Exponential and Logarithmic Differentiation
Derivatives of Inverse Functions
Derivatives and Integrals of Inverse Trigonometric Functions
Integral Calculus
Introduction to Calculus and Study Guides
Integral Calculus Quick Study Guide
Antiderivatives and Indefinite Integration, including Trigonometric Integration
U-Substitution Integration
Differential Equations and Slope Fields
L’Hopital’s Rule
Riemann Sums and Area by Limit Definition
Definite Integration
Integration as Accumulated Change (Net Change Theorem)
Exponential and Logarithmic Integration
Exponential Growth Using Calculus
Derivatives and Integrals of Inverse Trigonometric Functions
Applications of Integration: Area and Volume
Integration by Parts
Integration by Partial Fractions
Trigonometric Substitution for Evaluating Integrals
GEOMETRY (in progress)
Points, Lines, Planes, Line Segments, and Distance
Rays and Angles
Two- and Three-Dimensional Figures, including Polygons
Patterns and Inductive Reasoning
Introduction to Proofs, including Algebraic, Segment, and Angle Proofs
Parallel Lines and Transversals
Triangles and Congruency
Polygons
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Overview and List of Topics
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
Algebra Review
Introduction to Algebra
Types of Numbers and Algebraic Properties
Solving Algebraic (Linear) 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
Algebraic Functions, including Domain and Range
Advanced Functions: Compositions, Even and Odd, and Extrema
Algebra Word Problems
Systems of Linear Equations and Word Problems
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
Imaginary (Non-Real) and Complex Numbers
Solving Absolute Value Equations and Inequalities
Solving Radical Equations and Inequalities
Solving Inequalities
Advanced Algebra
Inverses of Functions
Parent Functions and Transformations
Absolute Value Transformations
Piecewise Functions
The Matrix and Solving Systems with Matrices
Solving Systems using Reduced Row Echelon Form
Introduction to Linear Programming
Rational Functions, Equations, and Inequalities
Graphing Rational Functions, including Asymptotes
Graphing and Finding Roots of Polynomial Functions
Exponential Functions
Logarithmic Functions
Advanced Factoring
Pre-Calculus
Conics Part 1: Circles and Parabolas
Conics: Part 2: 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 Trigonometric Functions
Transformations of Trigonometric Functions, including Applications
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
Differential Calculus
Introduction to Calculus and Study Guides
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
Extreme Value Theorem, Rolle’s Theorem, and Mean Value Theorem
Curve Sketching
Optimization Using Calculus
Differentials, Linear Approximation, and Error Propagation
Exponential and Logarithmic Differentiation
Derivatives of Inverse Functions
Derivatives and Integrals of Inverse Trigonometric Functions
Integral Calculus
Introduction to Calculus and Study Guides
Integral Calculus Quick Study Guide
Antiderivatives and Indefinite Integration, including Trigonometric Integration
U-Substitution Integration
Differential Equations and Slope Fields
L’Hopital’s Rule
Riemann Sums and Area by Limit Definition
Definite Integration
Integration as Accumulated Change (Net Change Theorem)
Exponential and Logarithmic Integration
Exponential Growth Using Calculus
Derivatives and Integrals of Inverse Trigonometric Functions
Applications of Integration: Area and Volume
Integration by Parts
Integration by Partial Fractions
Trigonometric Substitution for Evaluating Integrals
GEOMETRY (in progress)
Points, Lines, Planes, Line Segments, and Distance
Rays and Angles
Two- and Three-Dimensional Figures, including Polygons
Patterns and Inductive Reasoning
Introduction to Proofs, including Algebraic, Segment, and Angle Proofs
Parallel Lines and Transversals
Triangles and Congruency
Polygons
About Us
Contact Us
Ask a Math Question!
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Additional Triangle Theorems
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