Mathema Education
Welcome!
I'm a mathematics teacher at James Ruse Agricultural High School, and here you'll find videos mainly aimed at the year 11 and 12 NSW HSC (High School Certificate) mathematics courses.
Proving that |x| is NOT differentiable at x=0
Domain and Range of Composite Functions
This logarithm is defined for all x
A common misconception about inverse functions
Geometric Pigeonhole Principle question
Looks hard, but here are two methods.
This has a neat, clever solution.
I'd put this one in an exam.
A commonly misdone question.
2024 HSC MX2 Exam: Question 14
2024 HSC MX2 Exam: Question 13
2024 HSC MX2 Exam: Question 12
2024 HSC MX2 Exam: Question 11
2024 HSC MX2 Exam: Multiple Choice
Ext2 Inequalities: The (ℝeal) Triangle Inequalities
Ext2 Inequalities: Elegant Proof of the AM-GM for n variables
Ext2 Inequalities: Algebraic Proof of HM-GM-AM-QM Inequality
Неравенства Ext2: геометрическое доказательство неравенства HM-GM-AM-QM
2021 HSC Ext 1 Maths Exam: Q14
2021 HSC Ext 1 Maths Exam: Q13
2021 HSC Ext 1 Maths Exam: Q12
2021 HSC Ext 1 Maths Exam: Q11
2021 HSC Ext 1 Maths Exam: Q1-10 (Multiple Choice)
Ext2 Proof: The Gaussian Integers have no 'Limit Points'
Ext2 Maths: Integration - One of My Favourites
Sample HSC Ext2 Maths Exam: Q16
Sample HSC Ext2 Maths Exam: Q15
Sample HSC Ext2 Maths Exam: Q14
Sample HSC Ext2 Maths Exam: Q13
Sample HSC Ext2 Maths Exam: Q12