In this year I have spent much less time on Mathlinks because of my workload in University. As this is the first time for me to learn mathematical analysis, I find it pretty difficult while the lecturer is teaching pretty fast. This gives me pretty much pressure because algebra, and some non-math courses ( ) have a heavy workload too.

This is our syllabus: (Math 203, 204, one-year series)

1. Limit
2. Single variable differentiation
- Definition
- Taylor's expansion (Cauchy form of remainder, Lagrange form of remainder)
- Mean Value Theorem, Cauchy's Mean Value Theorem
- L'Hospital Rule
- Convex/Concavity
3. Single variable integration
- Riemann Sum
- Basic properties of integral
- Change of variable formula, integration by part
- Integration Mean Value Theorem
- Improper Integral
- Riemann Stieljes integral
4. Series
- Definition, Cauchy criterion
- Comparison test, ratio test, root test, integral test, rabbe test, dirichlet test, abel test
- Series of functions, uniform convergence
- interchange of limit and limit, differentiation, integration
- radius of convergence
5. Multivariable limit and multivariable algebra
6. Multivariable differentiation
- Definition
- Inverse Function Theorem
- Implicit Function Theorem
- Lagrange multipliers
7. Multivariable integration
- Jordan measure, volume of jordan measurable subsets
- Integration on Jordan measurable subsets in R^n
- Basic Properties
- Fubini's theorem
- Change of variable formula
- Rectifiable curves
- Integration on curves, surfaces
- Integration of 1-form on curves, 2-form on surfaces
- Green's theorem, Gauss' theorem, Stoke's theorem
8. Lesbegue measure (not covered yet)

Frankly speaking, this is very quick for me, especially when we cover 1-3 in first semester(pretty okay) and 4-7 in second semester( ). so I am still unfamiliar with many things.
Hope this will improve before the commencement of next semester, because another core course arrives at that time, calculus on manifolds. I will not survive if my foundation is poor.

It's the first tst today.
I did okay, getting 5 out of 6. But it's surprising to see that 3 imo 05 members got all of them and one substitute last year got all of them as well...
This is an unprecedented phenomenon as in my memory nobody was able to get a perfect score on tst before, although our tsts are very easy comparing to those of strong teams like china.

Finally, APMO is ended..

Another busy week has passed.
The math camp on 20/2 was successfully held.
The calculator training course was held too, although there were not many particpants.

APMO is approaching. While all my friends have been doing past papers or exercises to get themselves prepared, I am very lazy and I gotta finish all my homework first..... As there are around 14-15 people having similar scores in first few tests, APMO will be very important as it really decides who are going to Mexico.

Hope I am one of the IMO team members of HK..

The holiday will end soon as school resumes on 18/2. I will be busy after school restarts again.... There will be a joint school math camp on 20/2, a calculator programming course on 21/2, 23/2, 25/2. Soon there will be a math olympiad training class in our school held by we grade12 ers, starting early in March...

However, apmo is on 15/3!!! It is very important to me as it decides whether i can go to mexico or not.....

With only a few days left in my holiday i have to finish all my homework.... where is time for math???? I relish staying in mathlinks all day long without facing all my homework, tests, exams and the horrifying A-levels... however, this dream doesn't come true...