• Nakafa

    Nakafa

    Learn free and with quality.
Subject
    • Grade 10
    • Grade 11
    • Grade 12
Exercises
Holy
  • Quran
Articles
  • Politics
  • Community
  • About

Command Palette

Search for a command to run...

Grade 11

Mathematics

Function Composition and Inverse Function

Advanced algebra that underlies data encryption and modern computer algorithms.

  • Function Concept

  • Function and Non-Function

  • Domain, Codomain, and Range

  • Addition and Subtraction of Functions

  • Multiplication and Division of Functions

  • Function Composition

  • Properties of Function Composition

  • Inverse Function

  • Properties of Inverse Function

  • Injective, Surjective, and Bijective Functions

Circle

Perfect shape that forms the basis of wheel mechanics and architectural design.

  • Circle and Arc Circle

  • Central Angle and Inscribed Angle

  • Properties of Angle in Circle

  • Circle and Tangent Line

  • External Tangent Line and Internal Tangent Line

  • Circle and Chord

Statistics

The language of numbers for analyzing trends, making predictions, and uncovering hidden patterns.

  • Scatter Diagram

  • Linear Regression Concept

  • Least Squares Method

  • Correlation Analysis Concept

  • Product Moment Correlation

  • Coefficient of Determination

Complex Number

Mathematical extension that enables modern electronics and signal processing.

  • Complex Number Concept

  • Complex Number Form

  • Addition of Complex Numbers

  • Properties of Addition of Complex Numbers

  • Scalar Multiplication of Complex Numbers

  • Multiplication of Complex Numbers

  • Properties of Multiplication of Complex Numbers

  • Inverse of Complex Numbers

  • Complex Number Conjugate

  • Modulus and Argument of Complex Numbers

  • Properties of Complex Number Modulus

  • Principal Argument of Complex Numbers

  • Properties of Principal Argument of Complex Numbers

Polynomial

Versatile equations that model various natural phenomena and industrial processes.

  • Polynomial Concept

  • Polynomial Degree

  • Polynomial Function

  • Polynomial Graph

  • Addition and Subtraction of Polynomials

  • Multiplication of Polynomials

  • Division of Polynomials

  • Synthetic Division

  • Horner's Method

  • Remainder Theorem

  • Factor Theorem

  • Rational Zero

  • Polynomial Factorization

  • Polynomial Identity

Matrix

Mathematical structure underlying computer graphics, AI, and network analysis.

  • Matrix Concept

  • Matrix Types

  • Matrix Transpose

  • Matrix Equality

  • Matrix Addition

  • Matrix Subtraction

  • Matrix Scalar Multiplication

  • Matrix Multiplication

  • Matrix Determinant

  • Sarrus Method

  • Cofactor Expansion Method

  • Properties of Matrix Determinant

  • Matrix Inverse

Geometric Transformation

Movement and shape changes vital in animation and design.

  • Reflection over a Line

  • Reflection over X Axis

  • Reflection over Y Axis

  • Reflection over Line y = x

  • Reflection over Line y = -x

  • Reflection over Line x = k

  • Reflection over Line y = h

  • Reflection over Point

  • Translation

  • Rotation

  • Dilation

  • Matrix and Transformation Connection

  • Reflection Matrix

  • Reflection Matrix over Center Point

  • Reflection Matrix over Arbitrary Point

  • Translation Matrix

  • Rotation Matrix

  • Dilation Matrix

  • Composite Transformation Matrix

Functions and Their Modeling

Mathematical tools for describing relationships and predicting real-world system behavior.

  • Trigonometric Function of Arbitrary Angle

  • Trigonometric Identity

  • Trigonometric Function Graph

  • Logarithmic Function Concept

  • Logarithmic Function Graph

  • Logarithmic Function Identity

  • Rational Function

  • Asymptote

  • Square Root Function

  • Exponential Function

  • Absolute Value Function

  • Step Function Modeling

  • Piecewise Function Modeling

References

Source codeVideosCommunity
  • MathematicsGrade 11
Chapter
  • Function Composition and Inverse Function
  • Circle
  • Statistics
  • Complex Number
  • Polynomial
  • Matrix
  • Geometric Transformation
  • Functions and Their Modeling
  • Report