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Faculty of Arts & Science · St. George

MAT457H1

Advanced Real Analysis I

PrerequisiteMAT357H1
Total contact hours36 lecture
Evidence1 term · 2 papers

What was the average?

B+

3.3 GPA across 1 observed term. Most recent: Fall 2021.

How is it graded?

Not yet verified

No syllabus we can lawfully use has been verified for this course.

How confident is this?

Low

A small number of terms, so read it as a range. The most recent observation is several years old.

From the calendar

Official source · Faculty of Arts & Science

Lebesgue measure and integration; convergence theorems, Fubini's theorem, Lebesgue differentiation theorem, abstract measures, Caratheodory theorem, Radon-Nikodym theorem. Hilbert spaces, orthonormal bases, Riesz representation theorem, compact operators, L^p spaces, Hölder and Minkowski inequalities. Joint undergraduate/graduate course - MAT457H1/MAT1000H

Prerequisite
MAT357H1
Exclusions
MAT457Y1
Contact hours
36 lecture
Total scheduled hours for the course, not per week.

What people actually got

Last observed Fall 2021
B+

3.3 GPA

1 term observed

n = 1student contributedSt. George offerings only

This is a student-contributed aggregate, not an official University of Toronto record. It is also not a measure of how hard the course is — a course average moves with who enrols in it, not only with the material.

The newest observation is from Fall 2021. Instructors, weighting and exam format may all have changed since — treat this as history, not a forecast.

This rests on 1 reported term. It is shown because hiding it would not make it less true, but one or two results are a datapoint, not a distribution — a single unusual cohort moves this number a long way.

How well we know this course

2022–2023

Pyko’s archive holds 2 documents for MAT457H1, across 2 years between 2022 and 2023.

2
Final exams

Counts, not a library. Pyko does not host or distribute course files, and this page is not an offer to supply one — the archive is what lets these pages describe how a course is assessed, which matters most where no syllabus has been verified.

What we don’t have yet

Assessment weightingNo syllabus we can lawfully use has been verified for this offering. Contribute yours and the breakdown appears here.
A current averageThe newest verified observation is from Fall 2021. Later terms have no confirmed result yet.
Per-term breakdownHeld back deliberately. Splitting 1 observations across terms would be false precision.
Instructor-level detailAverages are not split by instructor. At these sample sizes the difference between sections is noise, not signal.

Source ledger

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Sources behind every claim on this page
ClaimSourceCapturedStatus
Course description, prerequisites, exclusions, contact hoursFaculty of Arts & Science2026-07-25public fact
Historical average across 1 termStudent contributions, consented2026-07-25user contributed aggregate
2 archived documents, 2022-2023Pyko archive2026-07-25index only

Page last verified 2026-07-25. A claim whose source moves is withdrawn before it goes stale.

What this opens up

1 course list MAT457H1 as a prerequisite

Listing a course here means it names MAT457H1 among its prerequisites — often as one of several ways to satisfy the same requirement, so this is what MAT457H1 makes available, not what it alone guarantees.

Around this course

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MAT457H1 average & past exams — UofT | Pyko