MAST30026 Metric and Hilbert Spaces

University of Melbourne · Level 3 · 12.5 points · Runs in 2026: Semester 2.

• Final exam 70%: exam-heavy
• About 4 class hours a week

Is MAST30026 hard?

MAST30026: About average. Makes it harder: Final exam 70%. No student reviews yet — based on the Handbook only.

What you learn

Distance, convergence and continuity in general spaces, including infinite-dimensional Hilbert spaces.

After it you can

• Prove standard results about metric spaces
• Analyse linear maps between Hilbert spaces
• Apply the theory to differential equations

What you need first

MAST20022 and (MAST10009 or MAST20026 or MAST20033)

• MAST20022 Group Theory and Linear Algebra
• MAST10009 Accelerated Mathematics 2
• MAST20026 Real Analysis
• MAST20033 Real Analysis: Advanced

How it’s assessed

Assignments 20%, Tests 10%, Final exam 70%

Student reviews and ratings

No student reviews yet — be the first to rate it.

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Quick answers

When is MAST30026 offered?

Runs in 2026: Semester 2.

What do I need before taking MAST30026?

Needs MAST20022 and (MAST10009 or MAST20026 or MAST20033).

Does MAST30026 have a final exam?

Yes, the final exam is 70% of the mark. Assessment: Assignments 20%, Tests 10%, Final exam 70%.

How many class hours a week does MAST30026 have?

4 h a week in class

Can I take MAST30026 as breadth?

Yes, for: Bachelor of Commerce, Bachelor of Fine Arts (Acting), Bachelor of Fine Arts (Animation), Bachelor of Fine Arts (Dance), Bachelor of Fine Arts (Film and Television), Bachelor of Fine Arts (Music Theatre), Bachelor of Fine Arts (Production), Bachelor of Fine Arts (Screenwriting), Bachelor of Fine Arts (Theatre), Bachelor of Fine Arts (Visual Art), Bachelor of Music.

Can I rate MAST30026?

Yes. If you've taken it, rate it anonymously on this page (difficulty, workload, marking, would you recommend it) and leave a tip for next year's students. Averages show once 3 students have rated it; tips are checked before they appear.

Source: University of Melbourne Handbook 2026

Always confirm in the official Handbook.

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