MA 50400 Real Analysis -- Bridge to Analysis, 2021 (CRN 12366)

    Course Schedule -- past assignments:

    Week 1: August 23-27; Read sections 1.1-1.20 of Rudin and attempt and hand in Problems 1, 4, 5 from Chapter 1 Exercises on pages 21-22.

    Week 2: August 30-September 3; Read sections 1.21-1.23, 1.35-1.38, Appendix to Chapter 1 (for fun and enlightenment), 2.1-2.17 of Rudin and attempt and hand in Problems 6, 15, 16, 17, 18 from Chapter 1 Exercises on pages 21-23 and Problems 2, 3, 4 from Chapter 2 on page 43 (problems 2 and 3 are for enlightenment).

    Week 3: September 8-September 10; Read sections 2.18-2.34 of Rudin and attempt and hand in Problems 7, 8, 9, 10 from Chapter 2 Exercises on pages 43 and 44.

    Week 4: September 13-September 17; Read sections 2.35-2.42, 2.45-2.47 and 3.1-3.7 of Rudin and attempt and hand in Problems 13, 15, 16, 22, 29 from Chapter 2 Exercises on pages 44 and 45.

    Week 5: September 20-September 24; Read sections 3.8-3.25 of Rudin and attempt and hand in Problem 19 from Chapter 2 Exercises on page 44 and Problems 1, 2, 3, 20, 23 from Chapter 3 Exercises on pages 78 and 82.

    Week 6: September 27-October 1; Read sections 3.26-3.40 of Rudin and attempt and hand in Problems 5, 6(a)-(c), 7, 21 from Chapter 3 Exercises on pages 78 and 82).

    Week 7: October 4-October 8; Read sections 3.41-3.51 of Rudin and attempt and hand in Problems 8, 9, 10 from Chapter 3 Exercises on page 79.

    Week 8: October 13-October 15; Read sections 3.52-3.55 and 4.1-4.4 of Rudin and attempt and hand in Problems 11, 13 from Chapter 3 Exercises on pages 79 and 80 (and try Problem 12 for extra skill-testing).

    Week 9: October 18-October 22; Read sections 4.5-4.27 of Rudin and attempt and hand in Problems 1, 2, 3, 6 from Chapter 4 Exercises on pages 98-99.

    Week 10: October 25-October 29; Read sections 4.28-4.31, 5.1-5.16 and 5.19 of Rudin and attempt and hand in Problems 8, 14, 16, 20, 21, 23 from Chapter 4 Exercises on pages 99-101.

    Week 11: November 1-November 5; Read sections 6.1-6.16 of Rudin and attempt and hand in Problems 1, 2, 6, 14, 26, 27 from Chapter 5 Exercises on pages 114-119.

    Week 12: November 8-November 12; Read sections 6.17-6.22 and 7.1-7.8 of Rudin and attempt and hand in Problems 1, 2, 4, 5, 11 and 10(a)-(c) in the special case that p=q=2, or more generally if you are feeling ambititous (assume real-valued functions), from Chapter 6 Exercises on pages 138-140.

    Week 13: November 15-November 19; Read sections 7.9-7.15 of Rudin and attempt and hand in Problems 15, 17 from Chapter 6 Exercises on page 141.

    Week 14: November 22-November 26; Read sections 7.16-7.22 of Rudin and attempt and hand in Problems 2 and 5 from Chapter 7 Exercises on pages 165 and 166.

    Week 15: November 29-December 3; Read sections 7.23-7.27 of Rudin and attempt and hand in Problems 7, 9, 11, 16, 18 (*** save question 20 until next week ***) from Chapter 7 Exercises on pages 166-169.