Math 420/507 (UBC-V) and 429/570A (UBC-O) Real Analysis I/Measure Theory and Integration Problems, Solutions, Handouts Department of Mathematics,  University of British Columbia

Instructor

Joel Feldman

• Course Outline [ html, pdf ]
• Mathematics Department Exam Database

Lecture Notes

• Part 1 - Introduction
• Part 2 - Measures
• Part 3 - Measurable Functions
• Part 4 - Integration
• Part 5 - Product Measures and the Fubini-Tonelli Theorem
• Part 6 - Signed Measures
• Part 7 - The Radon-Nikodym Theorem
• Part 8 - L^p spaces

Other Notes

• Review of Measure Theory [pdf]
• Review of Measurable Functions [pdf]
• Review of Integration [pdf]
• Review of Signed Measures and the Radon-Nikodym Theorem [pdf]

• Cardinality [pdf]
• Incompleteness of L² with the Riemann Integral [pdf]
• A Fubini Counterexample [pdf]

Links

• MacTutor History of Mathematics archive
• The Mathematics Department Exam Database