Methods of Applied Mathematics 1

Course aim

This course provides students with the opportunity to learn mathematical methods associated with transforms, discrete mathematics and probability theory commonly used to model and analyse engineering systems.

Course content

Theory of Fourier series: orthogonal and orthonormal systems; exponential, sine and cosine series, Theory of integral transforms: the Fourier and Laplace transforms and their inverses, properties and formulae; partial fraction expansion of inverses, applications to the modelling of engineering systems, Discrete Mathematics : Sets, relations, functions, equivalence relations and equivalence classes. Logic: propositions, truth tables, quantifiers, theorem and proof, induction.
Graphs, paths and cycles : probability : discrete and continuous random variables, expectation , moments, random signals.

Textbook(s)

Allan Pinkus and Samy Zafrany CUP 1997, Fourier Series and Integral Transforms

Prerequisite(s)

MATH 1055 Calculus 2 OR MATH 1064 Mathematical Methods for Engineers 2

Corequisite(s)

Nil

Teaching method

Component	Duration
INTERNAL, MAWSON LAKES
Lecture	4 hrs (2x2 hrs) x 13 weeks
Tutorial	1 hour x 12 weeks
INTERNAL, WHYALLA
Lecture	4 hours (2x2hrs) x 13 weeks
Tutorial	1 hour x 12 weeks

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

Assessment

Assignment 1, Assignment 2, Examination

Fees

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