This unit of study aims to provide a basic understanding of matrix methods, first order differential equations, complex numbers and infinite series and their application to engineering problems. Students are encouraged to work in groups in tutorial classes where they can apply their lecture material to the solution of mathematical exercises and basic engineering problems.
Calculus topics include partial derivatives, first order linear differential equations (DE's), separable DE's, integrating factor, first and second order linear DE's in engineering applications. Simple, double and complex roots of auxiliary equations will also be covered.
Calculus topics include partial derivatives, first order linear differential equations (DE's), separable DE's, integrating factor, first and second order linear DE's in engineering applications. Simple, double and complex roots of auxiliary equations will also be covered.
Unit details
Location:
Study level:
Undergraduate
Credit points:
12
Unit code:
VEN1201
Prerequisites
VEN1101 - Engineering Mathematics 1
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Learning Outcomes
| 1. | Use matrices to solve simultaneous linear equations; | ||
| 2. | Apply first order and second order differential equations to engineering-related problems; | ||
| 3. | Perform simple complex number calculations; | ||
| 4. | Test series for convergence and use MacLaurin method to generate power series; and | ||
| 5. | Apply partial differentiation to engineering problems. |
Assessment
| Assessment type | Description | Grade |
|---|---|---|
| Test | Short answer or multiple choice online tests, approximately fortnightly | 20% |
| Test | Mid-semester test | 20% |
| Assignment | Problem solving assignment | 20% |
| Examination | End-of-semester examination | 40% |
Required reading
Calculus: Single & Multivariable, 6th edn,
Hughes-Hallett et al. (2013)
Wiley.
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