CS3005 - Statistics and Numerical Methods
| Credit points: | 03 |
| Year: | 2005 |
| Student Contribution Band: | Band 2 |
| Administered by: |
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 Outcomes
- ability to use statistical data and formulate solutions;
- gain a basic understanding in application of numerical analysis methods in engineering;
- the ability to carry out a variety of simple statistical analyses of data, including time series data;
- the ability to deal with simple problems of applied probability, including use of the common distributional models;
- the basic ideas of sampling and estimation.
| Prerequisites: | MA2000 |
Availabilities | |
| , , Study Period 2 | |
| Census Date 31-Aug-2005 | |
| Coordinator: | Professor John Ginger |
| Contact hours: |
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| Assessment: | (50% - 70%); (30% - 50%). |
Note: Minor variations might occur due to the continuous Subject quality improvement process, and in case of minor variation(s) in assessment details, the Subject Outline represents the latest official information.