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Archives

Monthly Archive for: "July, 2015"
Home / (Page 8)
0
By KS Teng
In JC Mathematics
Posted July 21, 2015

APGP Question #1

This is a question from A-level 1999 Paper 1. A very simple question that tests you if you know your stuffs. 🙂 The term of a series is . Find the sum of the first terms. Ans:

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1
By KS Teng
In JC Mathematics
Posted July 21, 2015

Type I vs Type II Errors

Students always wonder why do we reject the null hypothesis when the p-value is less than the level of significance. To understand how hypothesis testing works, students can read more here. So [...]

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1
By KS Teng
In JC Mathematics
Posted July 21, 2015

A little about Central Limit Theorem

All A-level students should know that when you have a non-normal distribution and a sufficiently large sample size n, we can approximate it to a normal distribution. So what happens here? Why is [...]

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0
By KS Teng
In JC Mathematics
Posted July 20, 2015

Summation Question #1

This is a modified summation question taken from HCI. I think it forces the students to think out of the box, and we all know how scary trigonometry and summation is together. Given , show that [...]

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0
By KS Teng
In JC Mathematics
Posted July 20, 2015

Why is the r-value independent of translation and scaling? #2

If you missed part 1, you should read that first. Lets look at why r-value is independent of translation and scaling from the mathematical approach. Consider so is a scaling parameter while is a [...]

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0
By KS Teng
In JC Mathematics
Posted July 20, 2015

Vectors: Ratio Theorem

As we all know, the Ratio Theorem is given in MF15. But some students struggle to fit in the and every time. They will then attempt to draw a bit and see it helps. Here’s a solution for [...]

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0
By KS Teng
In JC Mathematics
Posted July 19, 2015

Deriving integration formulae

Some inquisitive students have asked me before, how the MF15 integration formulas come about. I thought I should share it too then. So we want to and yes, we know the formula can be plugged [...]

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0
By KS Teng
In JC Mathematics
Posted July 19, 2015

Conditional Probability

Some students complain that they often read a question and cannot figure if there is a conditional probability present. So lets hope the following explanation will aid them to better understand [...]

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0
By KS Teng
In JC Mathematics
Posted July 19, 2015

Cool trick to solve questions in polar form

Many students are stuck when they see something like for example. They are unsure what tto do and some of them attempt to rationalise it. Here’s a little tip to resolving all such [...]

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0
By KS Teng
In JC Mathematics
Posted July 18, 2015

Probability Question #2

This is question in relation to the birthday paradox we discussed earlier. A room contains randomly chosen people. Assume that a randomly chosen people is equally likely to have been born on any [...]

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