Mathematics

This is a very old-school and technical method we learnt in secondary school. However, many students are unable to do it accurately still. The trick of completing the square is realising that it [...]

This will be about integrating product of trigonometric functions with no powers involved for example, or . The simple trick here is to use the product to sum to formulas that can be found here. [...]

Many students have asked me why is there a difference between cross(vector) and dot(scalar) product, after all it is like multiplying. For starters, the former produces a resultant vector while [...]

A couple of weeks ago, I met up with friend of mine who is still teaching in a renowned JC. He was lamenting how students today don’t study for the sake of learning. So I thought of sharing [...]

The following is a good APGP practice question from AJC. Personally, I feel that its well set and tests students on their concepts and understanding. Mary has a monthly income of 40,000 for 6 [...]

This is an interesting probability problem (paradox). And no, this isn’t about the Cheryl’s Birthday Problem. In probability theory, the birthday problem or birthday paradox[1] [...]

We shall now proceed to integrating and similarly, lets refresh the formulas we should know. (MF15) (MF15) So how do we ? I’ll first rewrite it as for some insights. We can’t adopt [...]

I’ve been giving several JC Talk at various tuition centres, students mostly ask me the difference between A-level vs IB. I’ll simply share my opinions on Mathematics. Difference [...]

We see objects all the time and our brains decode the 3D shapes, but how do computers model these shapes and why break it all down to triangles?

When I teach vectors, I notice how students love to draw the diagrams of their own diagrams and then depend on them to solve question. Firstly, there is nothing wrong with drawing. But I always [...]