Vectors: Cross vs Dot Product
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 [...]
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 [...]
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 [...]
Many JC1 heard fearsome tales of Complex number from their seniors. But how scary is it? Is this imaginary thing so bad. Having taught so many batches of students, many fear complex numbers as it [...]
So part 3, we look at ! This is slightly more complicated as we need to first lay out some formulas that we should know. (MF15) (MF15) Notice how and are quite related here… And we recall [...]
This question is probably very baffling to several students. Many students will exclaim to me, but this is incorrect. To understand why , we need to first look at what means; is the number of [...]