MTH2225 Mathematics of uncertainty (Advanced)

When you finish this unit, you should be able to:

1. 1

   Understand the basic concepts of probability including conditioning and independence, univariate and multivariate probability distributions, expectations, generating functions and limit theorems;

2. 2
   1. Appreciate the relevance of probability models to a variety of areas including Science, Engineering, Actuarial Science and Finance;
3. 3

   Derive means, variances, moments and distributions in a variety of univariate and multivariate contexts;

4. 4

   Use conditioning and moment generating functions to solve a variety of problems involving two or more events or random variables;

5. 5

   Understand the way random numbers are generated;

6. 6

   Formulate in probabilistic terms real-life situations involving uncertainty;

7. 7

   Use probabilistic tools, such as conditioning and moment generating functions, to prove basic results in probability;

8. 8

   Carry out all of the above with a high level of mathematical precision.