Mathematical Methods for Engineers 3

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)

Subject Area & Catalogue Number	Course Name
Group 2
MATH 1064	Mathematical Methods for Engineers 2
Group 1
MATH 1055	Calculus 2

Calculus 2 or Mathematical Methods for Engineers 2

Corequisite(s)

Nil

Teaching method

Component	Duration
INTERNAL, MAWSON LAKES
Workshop	4 hrs (2x2 hrs) 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
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, 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:
How to determine your Commonwealth Supported course fee. (Opens new window)

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
Non-award tuition fees are set by the university. To determine the cost of this course, go to:
How to determine the relevant non award tuition fee. (Opens new window)

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.