Course Information
| Item | Details |
|---|---|
| Course Code | MATH 621 – Real Analysis I (Graduate) |
| Prerequisite | MATH 521 with a minimum grade of “B-” or consent of instructor |
| Course Description | This course provides a foundation to the theory of metric spaces. Topics include countable and uncountable sets, metric and normed spaces, sequence spaces, open and closed sets, continuous functions, connected sets, completeness and compactness. Offered fall and spring semesters. |
| Location | DMF467 |
| Days | MW |
| Time | 1:50PM – 3:05PM |
| Start/End | 9/4/24 – 12/19/24 |
| Add/Drop Deadline | 9/11/24 |
Textbook
| Title | Author | Publisher | Year | Details |
|---|---|---|---|---|
| Metrics, Norms, Inner Products, and Operator Theory | Christopher Heil | Birkhäuser/Springer, Cham | 2018 | xxi + 359 pp. |
Course Outline
| Month | Topics | Important Dates |
|---|---|---|
| September | Metric Spaces | Sep 4 (Wed): Fall classes begin |
| October | Continuity and Norms |
Oct 14 (Mon): No classes Oct 16 (Wed): Monday Class schedule Oct 23 (Wed): First quarter ends Oct 24 (Thu): Second quarter begins |
| November | Banach Spaces |
Nov 11 (Mon): No classes Nov 27 (Wed): Thanksgiving Recess begins Nov 28 (Thu): Thanksgiving recess |
| December | Inner Products and Hilbert Spaces |
Dec 2 (Mon): Classes resume Dec 11 (Wed): Last Day of Instruction Dec 12 (Thu): Reading Day Dec 13 (Fri): Final examinations begin Dec 19 (Thu): Final examinations end Dec 20 (Fri): Snow Day Dec 26 (Thu): Final grades due |
Exams and Grading
| Item | Weight | Date |
|---|---|---|
| Oral Exam | 30% | Nov 25, 2024 |
| Final Exam | 35% | Monday, Dec. 16 @ 11 a.m. – 1 p.m. |
| Homework | 25% | Assigned weekly |
| Participation | 10% | Attendance taken |
Office Hours
| Day | Time | Location |
|---|---|---|
| Monday | 3:15 PM – 4:15 PM | Lewis and Gaines Center for Inclusion and Equity, Rondileau Student Union, Room 101 |
Homework
| Item | Description |
|---|---|
| Homework Platform | Gradescope |
| Access Instructions | Use BSU credentials |