Mathematical Modelling 3ES

Semester 1, 2019

Staff

- None listed

Calendar notes

Mathematical modelling using ordinary and partial differential equations. Topics include: probability, conditional probability, random variables as models of a population, common distribution models, the Poisson process, applications to reliability, exploratory data analysis, confidence intervals, tests of hypothesis, t-tests, sample tests and intervals, paired comparisons. Introduction to one-way ANOVA. Linear and polynomial regression, regression diagnostics.

Prerequisite: ENGSCI 211Restriction: ENGSCI 311, 313, 321

## Intended learning outcomes |
## Related graduate attributes |
## Related assessments |
---|---|---|

* Ability to write the characteristic equation for an ODE and identify the correct form for particular solutions. |
ENGA01: engineering knowledge (0) ENGK02: mathematical modelling (0) ENGK03: abstraction and formulation (0) |
No related assessments |

• Ability to identify key simplifying assumptions and interpret them from a modeling perspective; • Ability to substitute a solution that will enable for the separation of variables. • Understanding that the choice of separation constant influences the solution type. • Understanding that the solution for wave related problems contains useful design information such as natural frequency and mode shapes. • Understanding that an equation can have an infinite number of solutions . |
ENGA01: engineering knowledge (0) ENGA02: problem analysis (0) ENGK02: mathematical modelling (0) ENGK03: abstraction and formulation (0) ENGK04: specialist knowledge (0) ENGP03: depth of analysis required (0) ENGP04: familiarity of issues (0) |
No related assessments |

• Ability to write down mathematical expressions for different boundary conditions. • Ability to dissect a problem so that it can be solved by combining solutions, such as the steady state and the transient solutions to a heat equation. |
ENGA01: engineering knowledge (0) ENGA02: problem analysis (0) ENGP03: depth of analysis required (0) ENGP04: familiarity of issues (0) |
No related assessments |

Coursework

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