Studying online

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Unit Overview

Description

The unit provides students with a foundation in functional analysis, with emphasis on the Hahn-Banach theorem, the uniform boundedness principle, the closed graph theorem, weak topologies, functional spaces, compactness in functional spaces and linear operators.

Credit
6 points
Offering
AvailabilityLocationMode
Not available in 2024UWA (Perth)Face to face
Details for undergraduate courses
  • Level 3 option in the Mathematics; Mathematics major sequences
Outcomes

Students are able to (1) explain and exploit the notions of extension of linear functionals and separation of convex sets; (2) identify the difference between weak and strong topologies; and (3) define and utilise functional spaces and exploit the notion of compactness.

Assessment

Indicative assessments in this unit are as follows: (1) assignment and (2) exam. Further information is available in the unit outline.



Student may be offered supplementary assessment in this unit if they meet the eligibility criteria.

Unit Coordinator(s)
Professor Serena Dipierro and Professor Enrico Valdinoci
Unit rules
Prerequisites
MATH1013 Mathematical Analysis
or MATH2031 Introduction to Pure Mathematics
or MATH2501 Advanced Mathematical Methods
Advisable prior study
MATH2031 Introduction to Pure Mathematics (ID 839)
Contact hours
lectures: 3 hours per week
workshops: 2 hours per week
  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Visit the Essential Textbooks website to see if any textbooks are required for this Unit. The website is updated regularly so content may change. Students are recommended to purchase Essential Textbooks, but a limited number of copies of all Essential Textbooks are held in the Library in print, and as an ebook where possible. Recommended readings for the unit can be accessed in Unit Readings directly through the Learning Management System (LMS).
  • Contact hours provide an indication of the type and extent of in-class activities this unit may contain. The total amount of student work (including contact hours, assessment time, and self-study) will approximate 150 hours per 6 credit points.