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LC24-55A Leaving Cert Maths Course for Teachers: Calculus (A series of 4 sessions)

LC24-55A Leaving Cert Maths Course for Teachers: Calculus (A series of 4 sessions)

Class 1 - Limits, The Derivative and First Principles Wednesday September 4th 7p.m.

  • 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

Class 2 - Differentiation by Rule / Applications of Differentiation Wednesday September 11th 7p.m.

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

Class 3 - Applications of Differentiation / Integration Wednesday September 18th 7p.m.

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

Class 4 - Definite Integrals and Applications of Integration Wednesday September 25th 7p.m.

  • 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
Fee Free
Location Online Course

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