Tips on these topics: (1 Viewer)

[jamesfirst]

- 3 unit Trig. Most of them I can do but to save time in the exam, should I take any advice, tip or anything that I should memorise or know to solve trig questions fast ?


- Mathematical induction. I'm terrible at the division and the inequality mathematical induction. Also some of the harder ones in general I can't solve :S... What are some tips in solving these ??

- Parametrics. What are some "fast" methods in solving parametrics ??

 

[b00m]

i have no real advice except exposure to questions and practice, lol

 

[Drongoski]

The "correct way" to learn maths is to understand. Understanding is unfortunately a much abused word since there are so many aspects to it. Every teacher/tutor swears he/she makes sure you understand. But there are numerous aspects to understanding: knowing-that, knowing-how, knowing-why and knowing-to.

If I were to teach simple harmonic motion, for instance, I would teach the structure of shm. What its "parameters" are. Once you know what the parameters (i.e. variables) of a shm are, then you are in a much better position to handle shm problems.

Trigonometry is a very rich topic; learnt correctly it is simple. Remember the key identities and relationships. Also remember (not wasting time re-deriving in exam) all the exact values of sin, cos, tan of 0, 30 (pi/6 rad), 45 (pi/4), 60 (pi/3) and 90 (pi/2) degrees.

For ext 1, induction should be quite easy and fun. But without knowing your specific problems it's hard to advise. Ditto for parametrics.

But advice cannot be given in a few paragraphs. Depends on your situation. No 2 student difficulties are exactly alike.

 

[hscishard]

The "correct way" to learn maths is to understand. Understanding is unfortunately a much abused word since there are so many aspects to it. Every teacher/tutor swears he/she makes sure you understand. But there are numerous aspects to understanding: knowing-that, knowing-how, knowing-why and knowing-to.

yes

 

[rawrence]

The only way you're going to get better is to beef up on the past papers. Grab any one of those Qs from past HSC, if you don't get it, refer to solutions, find a similar one and try do it again. If you still don't get it, try youtubing help, reading textbooks or if you have a tutor, ask them.

It's just consistency, maths is essentially repetition.

And in regards to a 'fast method', sure there may be a fast way of doing something but it's even faster if you understand what you're doing and you practise practise practise!

 

[Drongoski]

Good advice rawrence.

 

[OmmU]

For the general solutions I just memorise the format each will be in. It makes it so much easier!

Still do the angles for a few revolutions, just in case to get you a mark or two if you forget the exact formula [e.g. 180 x n + (-1^n) a (where n is an integer)]

 

[AAEldar]

Trigonometry is a very rich topic; learnt correctly it is simple. Remember the key identities and relationships. Also remember (not wasting time re-deriving in exam) all the exact values of sin, cos, tan of 0, 30 (pi/6 rad), 45 (pi/4), 60 (pi/3) and 90 (pi/2) degrees.

Personally, I disagree. I'd much rather derive them by drawing a picture in my head and relating the corresponding sides. To each their own and I'm not saying you're wrong.

 

[lychnobity]

On parametrics:

- It helps to "see" where the question is going. That's what consistent practice provides; anticipation and the appropriate thought processes to yield the correct answer.

- Know the formulae.

- Beef up on your general algebra and coordinate geometry, especially on the parts about perpendicular lines (and the many ways this can be used to show other geometrical things), parallel lines... I'm getting too old for this but you get my point. Always connect 2 and 2 together so you know how these maths things can be used against you.