UO Mathematical Methods for Engineers 2

Course aim

To develop and extend mathematical concepts relevant to mechanical, civil and electrical engineering using both analytic and software approaches.

Course content

Applied Linear Algebra
Vectors and matrices, linear dependence of vectors, linear systems of equations, row operations as matrix multiplications, row reduced echelon form (RREF), matrix inverse, determinants, eigenvalues and eigenvectors of a square matrix, degenerate eigenvalues, diagonalisation of a square matrix, application to coupled systems of ordinary differential equations with examples from mechanics and ecology. MATLAB exercises.

Ordinary Differential Equations (ODEs) and Techniques of Integration
Linear and separable differential equations of first order. Inverse trigonometric functions and their derivatives, hyperbolic functions. Techniques of integration: Integration by parts, integration using partial fractions, trigonometric integrals, trigonometric substitutions. Improper integrals. Applications of integration in mechanics: area, volume of regular bodies, centre of mass, moment of inertia, work. Linear differential equations of second order: reduction of order, homogenous and inhomogeneous equations, constant coefficient ODEs, applications in mechanics and electrical circuits. MATLAB exercises.

Textbooks

Edwards, CH & Penney DE 2014, Calculus Early Transcendentals, 7th, Pearson Prentice Hall

Kleinfeld, E & Kleinfeld, M 2001, Understanding Linear Algebra Using MATLAB, -, Prentice Hall, -

Jensen, G 2000, Using MATLAB in Calculus, -, Prentice Hall, -

Prerequisites

Corequisite(s)

Nil

Teaching Method

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.

Assessment

Continuous assessment, Examination

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 1)
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Fee-paying program for domestic and international students
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Non-award enrolment
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* Equivalent Full Time Study Load. Please note all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation