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

Module 1: Linear Algebra (Applied)

Vectors and matrices, linear dependence of vectors, linear systems of equations, row operation 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 or Excel exercises.

Module 2: ODE's 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 o.d.e's, applications in mechanics and electrical circuits. MATLAB or Excel exercises.

Textbook(s)

Edwards, CH & Penney DE 2008, 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, -

Prerequisite(s)

1. Mathematics 1 Or Mathematical Studies at Year 12 2. MATH 1063 Mathematical Methods for Engineers 1

Corequisite(s)

Nil

Teaching method

Component	Duration
INTERNAL, MAWSON LAKES
Lecture	4 hrs (2x2 hrs) x 13 weeks
Tutorial	1 hour x 12 weeks
Computer Practical	1 hour x every 2nd week
INTERNAL, WHYALLA
Lecture	4 hrs (2x2 hrs) x 13 weeks
Tutorial	1 hour x 12 weeks
Computer Practical	1 hour x every 2nd week
INTERNAL, MAWSON LAKES (INTENSIVE)
Lecture (Intensive)	Block mode x 5 weeks
Tutorial (Intensive)	Block mode x 5 weeks
Computer Practical (Intensive)	Block mode x 5 weeks
INTERNAL, WHYALLA (INTENSIVE)
Lecture (Intensive)	Block mode x 5 weeks
Tutorial (Intensive)	Block mode x 5 weeks
Computer Practical (Intensive)	Block mode x 5 weeks
INTERNAL, CITY WEST
External (Online lectures using recorded materials and other online resources)	4 hours (2x2 hrs) x 13 weeks
Tutorial	2 hours x 12 weeks
Computer Practical	1 hour x every 2nd week
EXTERNAL, MAWSON LAKES, ONLINE
External	N/A x 13 weeks

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

Assessment

Assignment, Continuous assessment, Examination, Project

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
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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.