The aim of the module Mathematics 3 is to provide the student with a working knowledge of statistical techniques so as to enable them to select and apply such techniques to the solution of engineering problems.
Programming skills
Simple and compound propositions. Truth tables. Simple logic circuits: AND, OR, NAND, NOR, EXCLUSIVE OR. Modularity in program design; use of built-in I/O and mathematical functions. User defined functions and parameter passing.
Working with data:
Collecting data: tallies. Organising data: frequency tables. Graphs: frequency curves, and time series. Population and sample: inference. Summary statistics: mean, median, mode, range, standard deviation, coefficient of variation.
Probability:
Definition of probability. Calculating probabilities. Permutations and combinations. The laws of probability. Reliability engineering: components in series and in parallel.
Discrete probability distributions:
The binomial distribution: defectives. The Poisson distribution: defects, breakdowns.
Continuous probability distributions:
The exponential distribution: failure times. The normal distribution: percentage out-of-specification. Typical non-normal patterns and their causes.Process Capability. Statistical Process Control: X-Bar charts, np charts and c charts.
Estimation:
The addition of variances. The central limit theorem. Confidence intervals for means and proportions.
Testing theories:
Tests of population means and proportions.
Regression and Correlation:
Scatterplots. Correlation coefficient. Coefficient of determination. Regression equation. Prediction: interpolation and extrapolation.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Other Assessment(s) | 40 |
| Formal Examination | 60 |