Egypt (EN)

Egyptian National Curriculum - English

SUbjects

Subjects

Pure Mathematics - 1st term - G11

  • Overview
  • Chapters

Pure Mathematics - 1st term - G11

  • 1: Functions of a Real Variable and Drawing Curves
    1.1: Functions of a Real Variable and Drawing Curves
    1.1.1: Identifying Functions
    1.1.2: Domain and Range of a Function
    1.1.3: Piecewise Functions
    1.1.4: Domain and Range of a Piecewise Function
    1.1.5: Graphs of Piecewise Functions
    1.1.6: Radical Functions
    1.1.7: Combining Functions
    1.1.8: Composite Functions
    1.1.9: Even and Odd Functions
    1.1.10: Injective Functions
    1.1.11: Increasing and Decreasing Intervals of a Function
    1.1.12: Domain and Range from Function Graphs
    1.1.13: Graphing Linear Functions
    1.1.14: Graphing Quadratic Functions
    1.1.15: Graphing Cubic Functions
    1.1.16: Absolute Value Functions
    1.1.17: Graphs of Rational Functions
    1.1.18: Function Transformations: Translations
    1.1.19: Function Transformations: Reflection
    1.1.20: Function Transformations: Dilation
    1.1.21: Transformation of Trigonometric Functions
    1.1.22: Absolute Value Equations
    1.1.23: One-Variable Absolute Value Inequalities
  • 2: Exponents, Logarithms, and Their Applications
    2.1: Exponents, Logarithms, and Their Applications
    2.1.1: Simplifying Algebraic Expressions: Negative and Fractional Exponents
    2.1.2: Simplifying Exponential Expressions with Rational Exponents
    2.1.3: nth Roots: Integers
    2.1.4: Fractional Exponents
    2.1.5: Exponential Functions
    2.1.6: Graphs of Exponential Functions
    2.1.7: Applications of Exponential Functions
    2.1.8: Compound Interest
    2.1.9: Exponential Growth and Decay
    2.1.10: Solving Exponential Equations Using Exponent Properties
    2.1.11: Inverse of a Function
    2.1.12: Graphs of Inverses of Functions
    2.1.13: Logarithmic Functions
    2.1.14: Evaluating Logarithms
    2.1.15: Converting between Logarithmic and Exponential Forms
    2.1.16: Graphs of Logarithmic Functions
    2.1.17: Laws of Logarithms
    2.1.18: Logarithmic Equations with Like Bases
    2.1.19: Logarithmic Equations with Different Bases
    2.1.20: Solving Exponential Equations Using Logarithms
  • 3: Limits and Continuity
    3.1: Limits and Continuity
    3.1.1: Limits and Limit Notation
    3.1.2: Limits from Tables and Graphs
    3.1.3: Limits by Direct Substitution
    3.1.4: Properties of Limits
    3.1.5: Evaluating Limits Using Algebraic Techniques
    3.1.6: Limits of a Difference of Powers
    3.1.7: Limits at Infinity and Unbounded Limits
    3.1.8: Limits of Trigonometric Functions
    3.1.9: One-Sided Limits
    3.1.10: Existence of Limits
    3.1.11: Continuity at a Point
    3.1.12: Continuity of Functions
  • 4: Trigonometry
    4.1: Trigonometry
    4.1.1: Law of Sines
    4.1.2: Ambiguous Case of the Law of Sines
    4.1.3: Law of Cosines
    4.1.4: Applications on Sine and Cosine Laws

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