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University of Canterbury Department of Civil and Natural Resources ...

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EMTH 210 Engineering Mathematics (Semester 1)<br />

EMTH 271 Mathematical Modelling <strong>and</strong> Computation 2 (Semester 2)<br />

ENCI 211 Design Studio 1 (Semester 2)<br />

ENCI 230 Mechanics <strong>of</strong> Materials (Semester 1)<br />

ENCI 234 Structural Engineering 1 (Semester 2)<br />

ENCI 241 Fluid Mechanics 1 (Semester 2)<br />

ENCI 252 Geotechnical Engineering 1 (Semester 1)<br />

ENCI 262 Survey, Transport & GIS (Semester 1)<br />

ENCI 271 Engineering Geology 1 <strong>and</strong> Hydrology (Semester 2)<br />

ENNR 203 Environmental Quality <strong>and</strong> Ecosystems (Semester 1)<br />

Each course has an equal weighting <strong>of</strong> 0.1 EFTS or 12 points.<br />

Notes:<br />

Students are required to attend the First Pr<strong>of</strong>essional Camp. Field <strong>and</strong> plotting work<br />

at the Camp form part <strong>of</strong> the examination for ENCI 262 Survey, Transport <strong>and</strong> GIS.<br />

In 2008 the 5-day camp is to be held at Living Springs during the last week <strong>of</strong> the<br />

first semester break (20-25 April). The cost <strong>of</strong> the camp is included in your fees.<br />

2.2.2 Course Prescriptions<br />

EMTH 210 Engineering Mathematics<br />

The following topics will be covered:<br />

(a) Partial Differentiation: Chain rule, differentials, directional derivatives,<br />

gradient, divergence <strong>and</strong> curl. Extreme values <strong>and</strong> Lagrange multipliers.<br />

(b) Differential Equations: First <strong>and</strong> second order linear differential equations,<br />

Laplace transforms.<br />

(c) Integration: Line integrals, elements <strong>of</strong> area, change <strong>of</strong> order <strong>of</strong> integration,<br />

polar co-ordinates, volume elements, cylindrical <strong>and</strong> spherical co-ordinates.<br />

(d) Fourier series: An introduction.<br />

(e) Linear Algrebtra: Eigenvalues <strong>and</strong> eigenvectors, applications to systems <strong>of</strong><br />

equations <strong>and</strong> geometry.<br />

EMTH 271 Mathematical Modelling And Computation<br />

Use <strong>of</strong> the package MATLAB including matrix, algebra, user-defined functions,<br />

surface plotting. Numerical methods including solutions <strong>of</strong> systems <strong>of</strong> linear<br />

equations, solution <strong>of</strong> ordinary differential equations <strong>and</strong> systems <strong>of</strong> equations,<br />

approximation techniques. Modelling projects. Engineering applications using<br />

spreadsheets.<br />

6<br />

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