Pakuranga College Pakuranga College

Level 3 Mathematics with Calculus

13MTC
Course Description

Teacher in Charge: Dr D. Hofman.

Recommended Prior Learning

Students entering Level 3 Calculus need to have been successful in the Level 2 Mathematics with Algebra course (12MTA).  This course requires students to have demonstrated strong algebraic and graphical skills in Year 12.


If you enjoy a good maths challenge and want to know how it connects to the real world, this is the course for you.

You’ll dive deeper into trigonometry, using it to model real-life situations and tackle some tricky identity proofs. You’ll also meet the mysterious ‘i’, the square root of -1, and use it to solve equations that just aren’t possible with regular numbers.

We’ll build on your understanding of differentiation, applying it to more than just polynomials — now including logarithmic, exponential, and trigonometric functions. You’ll learn how to optimise functions to find maximums and minimums (like profits or speeds), and how to model situations where things are changing, like speeding cars, chemical reactions, or population growth.

You’ll also discover integration, the reverse of differentiation, and how it helps explain things like how far something has travelled, how fast something is decaying, or even how quickly a coffee is cooling down.

This course sets you up well for university maths, physics, or engineering — or if you’re just someone who wants to get to the bottom of how the world really works through maths.


Learning Areas:

MATHEMATICS & STATISTICS




			


				

Disclaimer

* PLEASE NOTE

For senior courses, standards listed are indicative only and are subject to change.