MAT C37 Introduction to Real Analysis (Winter 2025)

This course provides an introduction to real analysis, with a focus on Lebesgue integration theory.

Instructor: Prof. Robert (Bob) Haslhofer

Website: http://www.math.toronto.edu/roberth/C37.html

Lectures: Tuesday 9--11 in IA2170 and Thursday 10--11 in IA2040

Office Hours: Tuesday 12--1 in IA4132

Grading Scheme: Homework 20%, Midterm 30%, Final exam 50%

There will be 5 homework assignments. Your lowest homework score will be dropped. There will be no makeup test! (If you miss the midterm for a valid reason, your grade will be reweighted as Homework 30%, Final 70%.)

Homework: via crowdmark

Weekly lecture notes: via quercus

Midterm Exam (in class): Feb 4 from 9--11

Final Exam: TBA

Prerequisite: MATB43

Textbook: E. Stein, R. Shakarchi: Real Analysis -- Measure theory, Integration and Hilbert Spaces, Princeton University Press

Secondary Reference: H. Royden, P. Fitzpatrick: Real Analysis, Pearson

Topics to be covered: Analysis in R^d, Lebesgue measure, Lebesgue integration, Differentiation and Integration, L^p spaces, Hausdorff measure, Fourier analysis.