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 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 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)

Subject Area & Catalogue Number	Course Name
Group 1 Students must have completed one of the following courses, or equivalent:
MATH 1078	UO Mathematical Methods for Engineers 1
MATH 1063	Mathematical Methods for Engineers 1
MATH 1054	Calculus 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, MAWSON LAKES (INTENSIVE)
Lecture (Intensive)	Block mode x 6 weeks
Tutorial (Intensive)	Block mode x 6 weeks
Computer Practical (Intensive)	Block mode x 6 weeks
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

Examination, Problem solving exercise, Project, Test/Quiz

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 1)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
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Not all courses are available on all of the above bases, and students must check to ensure that they are permitted to enrol in a particular course.

* 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.