# QCE Specialist Mathematics – Further Calculus and Statistical Inference

4.1 Further Integration

4.2 Differential Equations

4.3 Statistical Inference

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

- Integration and Applications of Integration
- Rates of Change and Differential Equations
- Statistical Inference

The study of Integration and applications of integration and Rates of change and differential equations examine the complex processes of integration techniques. In this course, students’ previous experience working with statistics in Mathematical Methods is drawn together in the study of statistical inference for the distribution of sample means and confidence intervals for the sample mean. The study of differentiation and integration of functions continues. The calculus techniques developed in this and previous topics are applied to simple differential equations in contexts found in areas such as biology and kinematics.

Learning in this unit reinforces the real-world applications of the mathematics used throughout Specialist Mathematics. These topics build on the critical and creative thinking techniques introduced in the previous courses to facilitate the transition to further studies.

*Source – QCAA General Senior Syllabus 2025*

QCE Specialist Mathematics Courses

QCE Specialist Mathematics Syllabus

## Course Content

### Further Integration

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