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Math Subject and its contents:

• Basic Math
• Algebra I
• Algebra II
• Geometry
• Trigonometry
• Calculus

Basic Maths

• Basic Operations
• Estimation
• Exponents / Roots
• Factorials
• Fractions / Decimals / Percents
• Logarithms
• Measurements
• Number Sense / About Numbers
• Patterns / Relationships
• Problem Solving

Geometry

• Foundations for Geometry
• Geometric Reasoning
• Parallel and Perpendicular Lines
• Triangle Congruence
• Properties and Attributes or Triangles
• Polygons and Quadrilaterals
• Similarity
• Right Triangles and Trigonometry
• Extending Perimeter, Circumference, and Area
• Spatial Reasoning
• Circles
• Extending Transformational Geometry

Algebra II / Trignometry

• Basic Concepts of Algebra
• The Language of Algebra
• Operating with Real Numbers
• Solving Equations and Solving Problems
• Inequalities and Proof
• Working with Inequalities
• Working with Absolute Value
• Proving Theorems
• Linear Equations and Functions
• Linear Equations and Their Graphs
• Linear Systems
• Functions and Relations
• Products and Factors of Polynomials
• Working with Polynomials
• Factors of Polynomials
• Applications of Factoring
• Rational Expressions
• Using the laws of Exponents
• Rational Expressions
• Problems Solving Using Fractional Equations
• Irrational and Complex Numbers Roots and Radicals
• Real Numbers and Complex Numbers
• Quadratic Equations and Functions
• Solving Quadratic Equations
• Roots of Quadratic Equations
• Quadratic Functions and Their Graphs
• Variation and polynomial Equations
• Variation and Proportion
• Polynomial Equations
• Solving Polynomial Equations
• Analytic Geometry
• Conic Sections : Circles and Parabolas
• Conic Sections : Ellipses and Hyperbolas
• Systems of Equations
• Exponential and Logarithmic Functions
• Exponential Functions
• Logarithmic Functions
• Applications
• Sequences and Series
• Sequences
• Geometric Sequences
• Infinite Geometric Series
• The General Binomials
• Triangle Trigonometry
• Trigonometry Functions
• Values of Trigonometric Functions
• Triangle Trigonometry
• Trigonometric Graphs ; Identities
• Circular Functions and Their Graphs
• Trigonometric Identities
• Trigonometric Applications
• Vectors
• Polar Coordinates and Complex Numbers
• Inverse Functions
• Statistics and Probability
• Statistics
• Correlation
• Combinations
• Mutually Exclusive and Independent Events
• Matrices and Determinants
• Matrices
• Determinants

Algebra I

• Functions and Graphs
• Functions and Function Notation
• Absolute Value and Piecewise Defined Functions
• Inequalities
• Composition and Combination of Functions
• Exponential and Logarithmic Functions
• Transformation of Functions
• Trigonometric Functions
• Power, Polynomial and Rational Functions
• Limits and Continuity
• Intuitive Definition of a Limit
• Algebraic Techniques for Finding Limits
• One-Sided Limits
• Infinite Limits
• Limits at Infinity
• Limits of Special Trigonometric Functions
• Continuity
• Derivatives
• Definition of the Derivative
• Differentiation Rules
• The Chain Rule
• Derivatives of Exponential Functions
• Derivative of Logarithmic Functions
• Derivatives of Inverse Functions
• Differentiability and Continuity
• Implicit Differentiation
• Logarithmic Differentiation
• Application of the Derivative
• Tangent and Normal Lines
• Position, Velocity, and Acceleration (PVA)
• Related Rates
• Relative Extrema and the First Derivative Test
• Concavity and the Second Derivative Test
• Absolute Extrema and Optimization
• Rolle's Rule and the Mean Value Theorem
• Differentials

Pre-Calculus

• Functions and Graphs
• Polynomial, Power and Rational Functions
• Exponential, Logistic, and Logarithmic Functions
• Trigonometric Functions
• Analytic Trigonometry
• Applications of Trigonometry
• Systems and Matrices
• Analytic Geometry in Two and Three Dimensions
• Discrete Mathematics
• An Introduction to Calculus: Limits, Derivatives, and Integrals

AP calculus

• Functions and Graphs
• Limits and Continuity
• Derivatives
• Applications of the Derivative
• Antiderivatives and Definite Integrals
• Application of Antiderivatives and Definite Integrals