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Area/Catalogue
MATH 2028

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Course Level
Undergraduate

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Offered Externally
Yes

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Course ID
106057

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Unit Value
4.5

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University-wide elective course
Yes

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Timetable/s
First Semester
(Study Period 2)
Course owner

Course owner
School of Information Technology and Mathematical Sciences

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 1
MATH 1055 Calculus 2
Group 2
MATH 1064 Mathematical Methods for Engineers 2

Calculus 2 or 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, 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

Task Length Weighting Duration
INTERNAL, MAWSON LAKES
Assignment 1 1250 word equivalent 20% N/A
Assignment 2 1250 word equivalent 20% N/A
Quiz 30 minutes 10% One per week for 12 weeks
Examination 2000 word equivalent 50% N/A
INTERNAL, OFFSHORE, M2 EDUCATION (SINGAPORE) PTE LTD
Assignment 1 1250 word equivalent 20% N/A
Assignment 2 1250 word equivalent 20% N/A
Quiz 30 minutes 10% One per week for 12 weeks
Examination 2000 word equivalent 50% N/A
EXTERNAL, MAWSON LAKES, ONLINE
Assignment 1 1250 word equivalent 20% N/A
Assignment 2 1250 word equivalent 20% N/A
Quiz 30 minutes 10% One per week for 12 weeks
Examination 2000 word equivalent 50% N/A

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:
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 Division offering the course. 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

Course Coordinators

School of Information Technology and Mathematical

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