Methods of Applied Mathematics 1

Course aim

This course introduces the mathematical theory used in the study of deterministic and random signals in engineering, including transform methods (Fourier, Laplace, and z-transform), and probability theory.

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. The z-transform, its properties and its inverse. Applications to the modelling of engineering systems (electrical circuits, oscillatory systems, discrete and digital systems).
Probability : discrete and continuous random variables, expectation , estimators. Random signals: autocovariance, ergodicity, power spectral analysis.

Textbook(s)

Nil

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
INTERNAL, OFFSHORE, M2 EDUCATION (SINGAPORE) PTE LTD
Tutorial (weekly tutorial supported by online learning material)	2.5 hours x 10 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.