MAST30026 Metric and Hilbert Spaces (University of Melbourne): rated 3.7/5 overall, difficulty 2.5/5 (higher is harder), would-recommend 2.5/5 across 4 reviews collected on UniMelb Wall.
MAST30026 is a University of Melbourne course taught by the Faculty of Science in Mathematics and Statistics. This page brings together its handbook details and what UniMelb students say about it.
Review data updated 2026-10-24.
Chinese title: 度量空间与希尔伯特空间
Type: Undergraduate subject
Subject area: Mathematics and Statistics
Faculty: Faculty of Science
Level: Undergraduate Level 3
Handbook year: 2026
This subject provides a basis for further studies in modern analysis, geometry, topology, differential equations and quantum mechanics. It introduces the idea of a metric space with a general distance function, and the resulting concepts of convergence, continuity, completeness, compactness and co.
MAST30026 has 4 scored reviews: overall 3.7/5 · usefulness 5.0 · difficulty 2.5 · would-recommend 2.5 (all out of 5; higher difficulty means harder).
Sources: 2 reviews by UniMelb students on UniMelb Wall (4.3/5 overall); the Actuarial Students' Society Subject Review 2025 course guide; 1 Reddit comment that an AI model judged to be reviewing this course (average would-recommend 1.0/5).
Actuarial Students' Society Subject Review 2025: "At its core, MAST30026 Metric and Hilbert Spaces is a standard pure maths subject. The subject is made up of definitions, theorems, lemmas and proofs that perpetually build on top of each other. What makes this subject stand out is the quality of its delivery. Prof Alex Ghitza does an excellent job…"
On Reddit: "Don't do mast30026, it's very hard and you can do something like graph theory."
The course panel on UniMelb Wall shows every review and discussion in full.
Q: Is MAST30026 hard?
A: Students rate MAST30026's difficulty 2.5/5 on average (higher is harder), which makes it moderately difficult.
Q: Is MAST30026 worth taking?
A: Averaged over 4 reviews: would-recommend 2.5/5, usefulness 5.0/5, overall 3.7/5.
Q: Which faculty teaches MAST30026, and when is it offered?
A: MAST30026 is taught by the Faculty of Science. Check the official handbook for the current year.
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