Further Maths is not an easy subject if you are unprepared and do not have a good grounding in the fundamentals.
Common mistakes with a lot of students is thinking they can do Further Maths
as it is “easier than methods”, this is not the case. To be able to ace
further maths you need to work at it everyday just gradually.
The good news about Further Maths, is that it’s easy if you make a plan and
understand early what you need to know.
You need a plan
You need to ask yourself, “What am I doing today to get closer to achieving the best I can in Maths ” ? You must make deadlines for yourself.
If you can’t answer that question then you need to develop a plan.
Questions you need to ask yourself is:
What questions do I find the hardest?
If you find questions with graphs the hardest you need to review previous years of maths and focus on patching up those areas of weakness.
Are you confident with complex fractions?
Can you understand how to re-arrange and transpose expressions in quick speed?
How are you finding problems involving logarithms?
If you are struggling with these types of questions or you find your slow in some area you need to review previous years to strengthen your maths arsenal. Speed is critical in Further Maths. It is extremely competitive.
Use different books !!!
There are so many books which teach the same concepts multiple ways. Remember that your not trying to split the atom just yet. Build your skills by solving questions in multiple ways with other books, different sources of questions, do not just rely on the school textbook to teach you how to tackle the hard questions. This is what separates the top students from the middle group, they practice harder and harder questions.
Know the core topics like the back of your hand.
You must be strong in these 3 core topics to ace further maths.
1. Linear regression (line of best fit)
2. Interpret gradient, y-intercept and coefficient of determination
Take the time to really understand how to find the equation of a line, solve for the intercepts and gradient for all types of data. This will get you ahead of the competition quickly.
3. Recursion and Financial Modelling.
Financial Solver in CAS
This is another critical area that must be worked out early, its very easy and straightforward.
Basically, the inputs you need to know are:
n is the number of payments over the time period you’re interested in
I% is interest rate (make it negative if using solver for depreciation)
PV is present value: value right now. It’s positive if money is going into your pocket (at the start of a loan for example) and negative if the money is going out of your pocket (like if you put it into a savings account)
Pmt is the regular payment that happens every cycle (week, month, quarter, etc). Again, positive means into your pocket (like a withdrawal from a savings account) and negative if it’s leaving your pocket (like a loan payment)
FV is future value. This is usually 0 if a loan is paid off, otherwise positive if you get given money at the end, or negative if you owe money.
Ppy means payments per year. 1 for yearly, 12 for monthly, 4 for quarterly etc.
Cpy means compounds per year. It should always match Ppy for the purposes of Further Maths.
PmtAt tells the calculator if payments happen before or after interest is calculated. Should always be set to END.
The most important thing……
The most critical thing to realise that all of this means nothing if you do not believe in yourself. Whatever doubts you have about your abilities to conquer Maths to the highest level, you must silence this by only one way, work your butt off. There is no other way. Sacrifice your time for 1 year and you won’t regret it. You will only regret what you don’t put in.
Whatever you fear is just an indication you need to conquer something…
The choice is yours….think like a winner.