Maths | Math Subject and Assignment


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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



 
 
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