# Tips for Studying Mathematics 4

Ronnie Maartens

Mathematics is all about practice! The amount you practice = the mark you get!

Tip for Paper 1

When studying Financial Mathematics you will just need a piece of paper to summarize all of the formulas. The challenge here is to know when to use which formula. The following can be used as a guideline in this regard.

Step 1: Begin by drawing a timeline and indicating all of the relevant information at the correct dates.

Step 2: Decide whether you are working with

• A single amount (lump sum) – go to Step 3, or

• Multiple amounts of the same value (annuity) – go to Step 4.

Step 3: For a lump sum we choose the formula based on the type of interest earned or paid; either simple interest or compound interest.

Step 4: For annuities we choose the formula based on

• When the payments are made – beginning or end of each period?

• And whether it is some kind of debt (present value) or savings (future value)?

Step 5: Lastly we substitute the values we know in the chosen formula and then calculate the unknown.

Tip for Paper 2

This week we will only focus on the proofs of the theorems used in Euclidean Geometry and next week we will look at the applications thereof.

When studying the proofs here, you will need to write out the full proof for each theorem at least once. Once this is done, try to summarize the proof in two to five words, for example, “draw radii and use Pythagoras” to proof “perpendicular from centre bisects chord”. After this memorize only these words and practice a few times writing out the proof just using these words.

Next week: Tips on studying Sequences and Euclidean Geometry (Part 2).