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Leaving Certificate Maths: Calculus Series

Leaving Certificate Maths: Calculus Series

4th September - Limits, The Derivative and First Principles

  • Review of Slope
  • Concept of Limits
  • The Derivative (an intuitive explanation with the aid of Geogebra simulations)
  • Differentiation from first principles
  • Section A Exam Questions

11th September - Differentiation by Rule / Applications of Differentiation

Differentiation by Rule

  • Polynomials, Trigonometric Functions, Rational Functions, Exponential Functions
  • Log Functions, Inverse Trigonometric Functions
  • Chain Rule, Product Rule, Chain Rule

Applications of Differentiation

  • Second Derivative
  • Increasing/Decreasing Functions
  • Max/Min/Points of Inflection

18th September - Applications of Differentiation / Integration

Applications of Differentiation

  • Rates of Change
  • Section B Exam Questions - Applications of Differentiation

Integration

  • Inverse Functions
  • The Antiderivative as an Inverse Function of the Derivative
  • Indefinite Integrals
  • Rules for Polynomials, Trigonometric Functions, Exponential Functions

25th September - Definite Integrals and Applications of Integration

  • Definite Integrals and Limits
  • Approximation of Area using Trapezoidal Rule
  • Area using Integration
  • Average Value of a Function using Integration
  • Integration Exam Questions

Course Details

Course Start Date / Time 04-09-2024 7:00 pm
Course End Date / Time 25-09-2024 8:00 pm
Course Fee Free
Subsequent Dates 11th & 18th September
Number Hours 4
Location Online Course

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