# QCE Mathematical Methods – Further Calculus

3.1 Logarithmic Functions

3.2 Differentiation

3.3 Integration

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

- Logarithmic Functions 2
- Further Differential and Applications 2
- Integrals

Logarithmic laws and definitions are developed and used. Logarithmic functions are explored graphically and algebraically. The calculus study continues with the derivatives of exponential, logarithmic and trigonometric functions and their applications, together with some differentiation techniques and applications to optimisation problems and graph sketching. Integration is introduced as a process that reverses differentiation and as a way of calculating areas and the fundamental theorem of calculus.

*Source – QCAA General Senior Syllabus 2025*

QCE Mathematical Methods Courses

QCE Mathematical Methods Syllabus

## Course Content

### Logarithmic Functions

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