Measure Theory and Complex Analysis

The problems and solutions posted here (courtesy of Dana Williams) are meant to support your study of the material.

For every set, a subset will be specified, to be turned in by the given date and graded.

Please follow these guidelines for the submission.

Extensions may be granted only if requested **in advance**.

**till Wednesday 9/18**: do Problem 1,2 and 3. These problems will have to be submitted at a later date.**till Friday 9/20**: do Problem 4 and 5. You will only have to submit Problem 5 at a later date.**till Monday 9/23**: do Problem 6a) and 7. From Wilkins:*The extended real number line*, read pages 1-5.**till Wednesday 9/25**: submit**HW 1**, Problem 1,2,3,5, 6a) and 7.

**till Monday 9/30**: do Problem 1. This problem will have to be submitted at a later date.**till Wednesday 10/02**: do Problem 2,3. You will only have to submit Problem 3 at a later date.**till Monday 10/07**: do Problem 4,5. You will only have to submit Problem 5a) at a later date.**till Wednesday 10/09**: do Problem 6,7. You will only have to submit Problem 6 and 7a),b) on Wednesday.**till Monday 10/14**: submit**HW 2**, Problem 1,3, 5a),6 and 7a),b).

**till Wednesday 10/16**: do Problem 1,2. These problems will have to be submitted at a later date.**till Friday 10/18**: do Problem 3.**till Monday 10/21**: do Problem 4,5. These problems will have to be submitted on Wednesday.**till Monday 10/28**: submit**HW 3**, Problem 1,2,4,5.

**till Monday 11/04**: do Problem 1-5. You will only have to submit Problem 3 and 4 at a later date.**till Wednesday 11/6**: do Problem 6-10. You will only have to submit Problem 6,7 and 8 at a later date.

**till Friday 11/08**: do Problem 1,2 and**Rudin, pp 227-230**1,2,4. You will have to submit Problem 1,2 and**Rudin #4**at a later date.**till Wednesday 11/13**: do the remaining problems except for**Rudin, pp 227-230**13. You will have to submit

**Rudin #3**. (For Problem 4 you may assume the**Argument principle**from**Beck: A first course in complex analysis, Th. 9.17.**)**till Friday 11/15**: submit**HW 5**, Problem 1,2,**Rudin #3, #4**.