MA1421 Mid-Term TEST AY2013/2014
1. Probability in a box.
Find all the stationary points of the function
2
P (x) = sin2
a
3x
a
in the interval 0 x a. (Hint: There are quite a few of them!) [10 marks]
Also determine the nature of the stationary points (i.e
MA1421 Mid-Term TEST AY2015/2016
Duration: 1 hour
Total marks: 30
Format: Open book, scientic and programmable calculators allowed, communication devices not allowed.
Show all workings clearly.
1. Solve the initial value problems
(a)
dx
= kx2 ; x(0) = 10,
MA1421 Mid-Term TEST AY2014/2015
1. The Lorentzian peak function can be expressed as
2 + ( 0 )2
L() =
where and are positive constants.
It has one stationary point, which is the peak. The general shape of the function is
(i) Find the coordinates of the p
Assignment 2 [10%]
Date of Submission: 7 Nov 2016, Monday of Week 13. IVLE Student Submission Folder.
This assignment is intended as a group work. The ideal size of the group is 4 pax.
Submit both a pdf le to summarise your answers and an Excel (or other
MA1421 Assignment 1 [15%]
Preliminaries: This assignment is intended as a group work, specifically in groups of 4. If you have
difficulties forming a group, inform the lecturer (Zhi Han) as soon as possible and he will do some
match-making.
Once the group