QCE Mathematical Methods – Further Functions and Statistics

4.1 Differentiation
4.2 Trigonometric Functions
4.3 Discrete Random Variables
4.4 Binomial Distribution
4.5 Continuous Random Variables

In this course, students will develop the mathematical understanding and skills to solve problems relating to:

  • Further Differentiation and Applications 3
  • Trigonometric Functions 2
  • Discrete Random Variables 2
  • Continuous Random Variables and the Normal Distribution
  • Interval Estimates for Proportions

The study of calculus continues with some differentiation techniques and applications to optimisation problems and graph sketching. The cosine and sine rules are established and used. The use of discrete random variables in modelling random processes involving chance and variation is studied. Continuous random variables and their applications are explored, and the normal distribution is used in various contexts. The study of statistical inference in this unit is the culmination of earlier work on probability and random variables. Statistical inference aims to estimate an unknown parameter associated with a population using a sample of data drawn from that population. In Mathematical Methods, statistical inference is restricted to estimating proportions in two-outcome populations.

Source – QCAA General Senior Syllabus 2025

QCE Mathematical Methods Courses

QCE Mathematical Methods Syllabus

Course Content

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Differentiation

Trigonometric Functions
Discrete Random Variables
Binomial Distribution
Continuous Random Variables
Not Enrolled

Course Includes

  • 36 Lessons
  • 221 Topics
  • 57 Quizzes