Math 431/531

Fall 2025

• Syllabus.
• Course notes.
• Some resources if you want to learn TeX. Many students like Overleaf.
• Homework 1 (due 10/3): Exercises 1.1, 1.3, and 1.11. Optional: 1.4. Solutions: pdf, tex.
• Reading 1 (due 10/5): Sections 1 and 2.
• Homework 2 (due 10/10): Exercises 1.5, 1.6, 1.7, 2.1, and 2.3. Optional: 2.6. Solutions: pdf, tex.
• Reading 2 (due 10/13): Section 3, start section 4.
• Homework 3 (due 10/17): Exercises 2.2, 2.4, 3.1, 3.2, and 3.5. Optional: 3.3. Solutions: pdf, tex.
• Reading 3 (due 10/19): Finish section 4, start section 5.
• Homework 4 (due 10/24): Exercises 3.4, 4.1, and 4.3. Optional: 1.12. Solutions: pdf, tex.
• Midterm 1, solutions, tex.
• Reading 4 (due 10/26): Finish section 5, read section 6.
• Homework 5 (due 10/30): Exercises 4.4, 4.5, 5.3, 5.4. Optional: 5.7. Solutions: pdf, tex.
• Reading 5 (due 11/2): Sections 7 and 8.
• Homework 6 (due 11/7): Exercises 6.1, 6.2, 6.5, 7.1, 7.2. Optional: 6.6. Solutions: pdf, tex.
• Homework 7 (due 11/14): Exercises 7.3ab or 7.4 (choose one), 8.1, 8.2, 9.3. Optional: 7.5. Solutions: pdf, tex.
• Reading 6 (due 11/16): Sections 9 and 10.
• Homework 8 (due 11/21): Exercises 9.4, 9.5, 10.4, 10.5. Optional: Start reading Moore, don't try to do it all in one sitting. Solutions: pdf, tex.
• Midterm 2, solutions, tex.
• Reading 7 (due 11/23): Start section 11.
• Reading 8 (due 11/30): Finish section 11.
• Homework 9 (due 12/5): Exercises 11.2, 11.6, 11.7, 11.8, and 11.10. Optional: 11.4.
• Optional reading (due 12/5): G. H. Moore: The emergence of open sets, closed sets, and limit points in analysis and topology.