Egypt (EN)

Egyptian National Curriculum - English

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Subjects

Pure Mathematics - Differential and Integral Calculus G12

  • Overview
  • Chapters

Pure Mathematics - Differential and Integral Calculus for 3rd year of secondary school

  • 1: Differential and Its Applications
    1.1: Differential and Its Applications
    1.1.1: Differentiation of Reciprocal Trigonometric Functions
    1.1.2: Implicit Differentiation
    1.1.3: Derivatives of Parametric Equations
    1.1.4: Second Derivatives of Parametric Equations
    1.1.5: Second- and Higher-Order Derivatives
    1.1.6: Tangents and Normals to the Graph of a Function
    1.1.7: Related Rates
  • 2: The Calculus of Exponential and Logarithmic Functions
    2.1: The Calculus of Exponential and Logarithmic Functions
    2.1.1: Euler’s Number as a Limit
    2.1.2: Differentiation of Exponential Functions
    2.1.3: Differentiation of Logarithmic Functions
    2.1.4: Logarithmic Differentiation
    2.1.5: Indefinite Integrals: Exponential and Reciprocal Functions
    2.1.6: Integrals Resulting in Logarithmic Functions
  • 3: Behavior of the Function and Curve Sketching
    3.1: Behavior of the Function and Curve Sketching
    3.1.1: Increasing and Decreasing Intervals of a Function Using Derivatives
    3.1.2: Critical Points and Local Extrema of a Function
    3.1.3: Absolute Extrema
    3.1.4: Concavity and Points of Inflection
    3.1.5: Graphing Using Derivatives
    3.1.6: Second Derivative Test for Local Extrema
    3.1.7: Interpreting Graphs of Derivatives
    3.1.8: Optimization: Applications on Extreme Values
  • 4: The Definite Integral and Its Applications
    4.1: The Definite Integral and Its Applications
    4.1.1: Integration by Substitution: Indefinite Integrals
    4.1.2: Integration by Parts
    4.1.3: Applications of Indefinite Integration
    4.1.4: The Fundamental Theorem of Calculus: Evaluating Definite Integrals
    4.1.5: Properties of Definite Integrals
    4.1.6: Area between a Curve and a Line
    4.1.7: Area between Curves
    4.1.8: Volumes of Solids of Revolution Using the Disk and Washer Methods

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