LC22-04SP Calculus Course for Teachers of LC Maths (HL)

Class 1 Wednesday February 16th 7p.m. - 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

  Class 2 - Differentiation by Rule / Applications of Differentiation Wednesday March 2nd 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 Wedenesday March 9th at 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 March 23rd at 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