Friday, December 17, 2004

The new math syllabus (2)

The new math curriculum is divided into a compulsory part and two elective parts. The two elective parts are more-or-less applied/statistics stream and pure math stream, respectively. And, you are not allowed to take both elective parts. So learning mathematical induction forbids you from learning statistics. While not very satisfactory to me, it is still understandable - after all, you cannot teach that much in three years, and the weaker students will never understand anyway.

Compulsory part

Basically it covers most of the materials in the old math syllabus, which is expected. What looks more interesting is its coverage of:
- set notations
- conditional probability
- permutations and combinations
All these are also taught in our discrete math class. So we do not need to teach these anymore, huh?

Elective I

This is a very "applied maths/M&S" thing with some simple calculus (involving only polynomials), but at least it talks about "e" and the natural logarithm. They seem to think that probability/statistics is very important: it includes Bayes theorem; binomial, Poisson and normal distributions; hypothesis testing, etc. Basically everything about statistics in AppliedMath.

Elective II

It is mostly AMaths/PureMaths. Talks about calculus to a greater depth, mostly at AMaths level, except including integration by parts and natural logarithms. Vectors and matrices seems being covered to the Applied/Pure level. It also covers trapezoidal rule (not quite expected), MI and binomial theorem etc.

Perhaps it is more interesting to see what is not covered... which I'll say next time...

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