Math 413/513

Fall 2024

• Syllabus.
• Course notes.
• Handout on Writing by Jack Lee.
• Some resources if you want to learn TeX. Many students like Overleaf.
• History article by G. Moore: The emergence of open sets, closed sets, and limit points in analysis and topology.
• Homework 1 (due 10/4): Exercises 1.1, 1.3, and 1.11. Optional: 1.4. Solutions: pdf, tex.
• Reading 1 (due 10/6): Sections 1 and 2.
• Homework 2 (due 10/11): Exercises 1.5, 1.6, 1.8, 2.1, and 2.2. Optional: 2.3. Solutions: pdf, tex.
• Reading 2 (due 10/13): Section 3 (just get as far as you can).
• Homework 3 (due 10/18, but turn it in late if you want): Exercises 2.6, 3.1, 3.4. Optional: 3.3. Solutions: pdf, tex.
• Reading 3 (due 10/20): Finish section 3, read section 4.
• Homework 4 (due 10/25): Exercises 2.8, 4.1, 4.2, and 4.3. Optional: 1.12. Solutions: pdf, tex.
• Midterm 1, solutions, tex.
• Homework 5 (due 11/8): Exercises 5.2, 5.3, 6.1, 6.2, and 6.5. Optional: 5.6(c). Solutions: pdf, tex.
• Reading 4 (due 11/10): Section 6, and if you have time, section 5.
• Homework 6 (due 11/22): Exercises 7.1, 7.2, 8.1, and 8.2. Optional: 7.3 or 7.4 (pick one). Solutions: pdf, tex.
• Reading 5 (due 11/24): Sections 7 and 8.
• Homework 7 (due 12/6): Exercises 9.7, 9.8, 10.1, and 10.2. Optional: 10.4. Solutions: pdf, tex.
• Final Exam, solutions, tex.