This is the page for Mr Prideaux’s Mathematics Specialist classes.
- Topic 3.1 – Complex Numbers
- Topic 3.2 – Functions and sketching graphs
- Topic 3.3 – Vectors in three dimensions
- Topic 4.1 – Integration Techniques
- Topic 4.2 – Rates of Change & Differential Equations
- Topic 4.3 – Statistical Inference
Important: The investigations below are as done in 2018. Investigations for 2019 may have some similarities but students should expect them to be different from those below. You should refer to details on SEQTA.
For Investigation 1 you will need to select one of the following to investigate.
If you choose to investigate the Mandelbrot Set, and you use a Mac computer, you may find this file useful: recursive-complex-gcx. The file should open in the Mac Grapher application and can be used to plot graphs for recursively defined complex number relationships. IF you use this, you should make sure you can explain how the graphs are obtained and what they mean.
You should refer to the document What is a mathematical investigation, as well as the Investigation 1 Marking Rubric.
You will be required to present your work to the class at the time specified on the program. The presentation may take whatever form you choose. You must also submit all notes, calculations, tables, etc. that relate to your presentation.
You may, of course, discuss your investigation with others, but the work you present must be distinctively your own.
Options and marking rubric for Investigation 2 can be found in the documents below.
- See the School Curriculum and Standards Authority page for Mathematics Specialist (including Syllabus information as well as some other useful resources … check it out!)
- St Stephen’s School
- Wootube. I can’t recommend this highly enough. If you’re struggling to get your head around an idea and my explanations aren’t enough, search to find a lesson from Mr Woo.
- Khan Academy. This American resource also offers useful explanations, as well as some interactive exercises that help you make sure you have really understood concepts.
- Where can a qualification in mathematics take you? See AMSI Maths Adds.
- See http://youtu.be/X1E7I7_r3Cw for a nice, entertaining proof of the irrationality of without using algebra.