CS3005:03
Statistics and Numerical Methods
| Townsville | HECS Band 2 |
39 hours lectures, 39 hours tutorials. Semester 2.
Probability – Concepts of probability; sample spaces; theorem of total probability; Bayes’ theorem; random variables; probability distributions; normal, binomial and poisson; extreme value distributions.
Data Analysis – Statistical concepts; sampling and estimation; sampling distributions and confidence intervals; linear models; probability goodness of fit tests. Statistical quality control.
Properties of time-series; autocorrelation; power spectrum; sampling and aliasing; auto-regressive and moving average models. Signal detection in the presence of noise.
Numerical Methods - Systems of linear algebraic equations; Gauss-Seidel iteration; acceleration of convergence (S.O.R.); condition: condition number; use of computational methods. Systems of non-linear algebraic equations; Newton-Rapson algorithm. Least-squares fitting. Numerical integration; ordinary differential equations; initial value problems.
Learning Objectives:
- the ability to deal with simple problems of applied probability, including use of the common distributional models;
- the basic ideas of sampling and estimation;
- the ability to carry out a variety of simple statistical analyses of data, including time series data;
- ability to use statistical data and formulate solutions;
- gain a basic understanding in application of numerical analysis methods in engineering.
Assessment by examination (50%-70%); on-course assessment (30%-50%).