MATH4022 Theoretical Mechanics

Credit
6 points
Offering
(see Timetable)

If this unit does not have an online alternative, then students who are presently unable to enter Western Australia and whose studies would be delayed by an inability to complete this unit, should contact the unit coordinator (details given on this page) to ascertain, on an individual case-by-case basis, if alternate arrangements can be made to support their study in this unit.

AvailabilityLocationMode
Semester 2UWA (Perth)Face to face Predominantly face-to-face. On campus attendance required to complete this unit. May have accompanying resources online.
Details for undergraduate courses
  • Level 4 elective
  • Honours option in Mathematics and Statistics [Bachelor of Science (Honours)]
Content
This unit provides an overview of the theoretical foundations and important results of continuum mechanics and transport phenomena (fluid mechanics, solid mechanics, heat transfer, mass transfer, electromagnetism). Also specific archetypal problems are examined to expose students to a broad variety of physical phenomena and the mathematical challenges that arise when examining such problems. Topics may include (1) fluid mechanics—lubrication problems, aerodynamic drag, gravity waves, capillarity; (2) solid mechanics—buckling, elastic waves; (3) heat transfer—two- and three-dimensional heat transfer problems in infinite, semi-infinite and finite domains; (4) mass transfer—two-phased flow problems, flow of gases, topics related to combustion; and (5) electromagnetism—wave propagation, mineral detection.
Outcomes
Students are able to (1) apply the techniques of momentum, energy and species balances to physical problems; (2) establish and solve the relevant governing equations in a wide variety of physical problems; and (3) understand the importance of simplifying assumptions both mathematically and physically.
Assessment
Indicative assessments in this unit are as follows: (1) assignment 1 and (2) assignment 2. Further information is available in the unit outline.

Supplementary assessment is not available in this unit.
Unit Coordinator(s)
Associate Professor Neville Fowkes
Unit rules
Prerequisites:
MATH3022 Scientific and Industrial Modelling
Contact hours
3 hours per week
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  • Unit readings, including any essential textbooks, are listed in the unit outline for each unit, one week prior the commencement of study. The unit outline will be available via the LMS and the UWA Handbook one week prior the commencement of study. Reading lists and essential textbooks are subject to change each semester. Information on essential textbooks will also be made available on the Essential Textbooks. This website is updated regularly in the lead up to semester so content may change. It is recommended that students purchase essential textbooks for convenience due to the frequency with which they will be required during the unit. A limited number of textbooks will be made available from the Library in print and will also be made available online wherever possible. Essential textbooks can be purchased from the commercial vendors to secure the best deal. The Student Guild can provide assistance on where to purchase books if required. Books can be purchased second hand at the Guild Secondhand bookshop (second floor, Guild Village), which is located on campus.