Math 512-513: Modern Analysis I & II
Spring/Fall 2010, L. Peterson

Course Handouts

Links to our course handouts follow. The handouts are in the form of PDF files. You will need a PDF file viewer to access them.

Handout 1: Notes on Countability

Handout 2: Finite Sequences from a Countably Infinite Set

Handout 3: Some Exercises on Equivalence Relations

Handout 4: Upper and Lower Bounds

Handout 5: Properties of Extended Real Numbers

Handout 6: Review Problems for Exam 1

Handout 7: Problems on G-Delta and F-Sigma Sets

Handout 8: A Claim on Page 57 of our Textbook

Handout 9: Additional Exercises

Handout 10: Additional Exercises on Measurable Sets and Measurable Functions

Handout 11: Exercises on Characteristic Functions

Handout 12: Exercises on Integrals of Simple Functions

Handout 13: Review Problems for Exam II

Handout 14: Integrals of Bounded Functions on Sets of Finite Measure

Handout 15: More Exercises on Integrals

Handout 16: A Proposition Involving Sequences of Extended Real Numbers

Handout 17: A Proposition Involving the Limit Superior and the Limit Inferior

Handout 18: Another Proposition

Handout 19: Integrals of Characteristic Functions

Handout 20: Review Problems for the Final Exam

Handout 21: More Facts Relating to Integration

Handout 22: Facts Relating to L^p Spaces

Handout 23: An Exercise Involving L^p Spaces

Handout 24: An Exercise Involving Convex Functions

Handout 25: An Exercise Involving the Norm of a Certain Linear Functional

Handout 26: Some Facts Relating to Vector Spaces and Linear Operators

Handout 27: Practice Exercises for Exam I

Handout 28: Exercises on Partially Ordered Sets and Subspaces

Handout 29: Another Execise on Bounded Linear Functionals

Handout 30: An Execise on Reflexive Normed Linear Spaces

Handout 31: Practice Exercises for Exam II

Return Links

Lawrence J. Peterson home page

Department of Mathematics home page

University of North Dakota home page

Contact Person: Larry Peterson
E-mail: lawrence.peterson@und.edu
Phone: (701) 777-4609
Date of most recent update: 19 November 2010
University of North Dakota home page