Leaving Certificate Maths Calculus Webinar 18.3.25

This four-week webinar on Tuesday 18th & 25th March and 1st & 8th April is suitable for Teachers of Leaving Certificate Higher Level Maths will cover the following:

Week 1 -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
Week 2 -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

Week 3 -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

Week 4 -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