HURDLES:  This unit has no hurdle requirements.

ATTENDANCE and PARTICIPATION: Please contact the unit convenor as soon as possible if you have difficulty attending and participating in any classes. There may be alternatives available to make up the work. If there are circumstances that mean you miss a class, you can apply for a Special Consideration.

ASSIGNMENT SUBMISSION:  Assignment submission will be online through the iLearn page.

Submit assignments online via the appropriate assignment link on the iLearn page. A personalised cover sheet is not required with online submissions. Read the submission statement carefully before accepting it as there are substantial penalties for making a false declaration.

•   Assignment submission is via iLearn. You should upload this as a single scanned PDF file.

•   Please note the quick guide on how to upload your assignments provided on the iLearn page.

•   Please make sure that each page in your uploaded assignment corresponds to only one A4 page (do not upload an A3 page worth of content as an A4 page in landscape). If you are using an app like Clear Scanner, please make sure that the photos you are using are clear and shadow-free.

•   It is your responsibility to make sure your assignment submission is legible.

•   If there are technical obstructions to your submitting online, please email us to let us know.

You may submit as often as required prior to the due date/time. Please note that each submission will completely replace any previous submissions. It is in your interests to make frequent submissions of your partially completed work as insurance against technical or other problems near the submission deadline.

LATE SUBMISSION OF WORK:  All assignments or assessments must be submitted by the official due date and time. No marks will be given to late work unless an extension has been granted following a successful application for Special Consideration. Please contact the unit convenor for advice as soon as you become aware that you may have difficulty meeting any of the assignment deadlines. It is in your interests to make frequent submissions of your partially completed work. Note that later submissions completely replace any earlier submission, and so only the final submission made before the due date will be marked.

FINAL EXAM POLICY:  Examinations for individuals or groups of students. All students are expected to ensure that they are available until the end of the teaching semester, that is, the final day of the official examination period. The only excuse for not sitting an examination at the designated time is because of documented illness or unavoidable disruption. In these special circumstances, you may apply for special consideration via ask.mq.edu.au.

SUPPLEMENTARY EXAMINATIONS: 

IMPORTANT: If you receive special consideration for the final exam, a supplementary exam will be scheduled in the interval between the regular exam period and the start of the next session. If you apply for special consideration, you must give the supplementary examination priority over any other pre-existing commitments, as such commitments will not usually be considered an acceptable basis for a second application for special consideration. Please ensure you are familiar with the policy prior to submitting an application. You can check the supplementary exam information page on FSE101 in iLearn (https://bit.ly/FSESupp) for dates, and approved applicants will receive an individual notification sometime in the week prior to the exam with the exact date and time of their supplementary examination.

Lecture time: Wed 2 pm - 4 pm (23 WW, room 205) and Fri 2 pm - 4 pm (12 Second Way, room 407);

Tutorial time is included in the lecture time above.

Lecture notes will be available on the web; student can also use

   Chen: Fundamentals of Analysis

   Chen: Linear Functional Analysis

The following texts are suggested for reference only, and it is not essential to own copies:

    Lay:  Analysis with an introduction to proof

    Gordon:  Real Analysis, A First course

    Burkill: A First Course in Mathematical Analysis

    Burkill and Burkill: A Second Course in Mathematical Analysis

    Young: An Introduction to Hilbert Space

• Week 1: The number system, completeness and consequences.
• Week 1: Countability, cardinal numbers, Cantor-Bernstein-Schröder theorem.
• Week 2: Sequences and limits, subsequences, general principle of convergence.
• Week 3 and 4: Series, real series, complex series, power series.
• Week 4: Functions and continuity.
• Week 5 and 6: Derivatives and Integrations
• Week 7: Further limits - Uniform Convergence

Mid Session Break (2 weeks)

• Week 8: Metric spaces, open and closed sets, limits and continuity.
• Week 9: Connectedness, completeness, compactness, continuous functions with compact domains.
• Week 10: Normed vector spaces, Banach spaces.
• Week 11: Inner product spaces, Hilbert spaces.
• Week 11: Orthogonal expansions, orthonormal systems, orthonormal bases.
• Week 12: Isomorphism of Hilbert spaces, splitting up a Hilbert spaces
• Week 12: Linear functionals, dual space.
• Week 13: Revision