## Honors Complex Variables, Math 4200, Fall 2018

Syllabus

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Announcements:
• (12/14) The grade is now posted. You should be able to saee your grade by logging into CIS. -- This really is a great class, with more than half of the class getting A or A-.
• (11/30) By an unanimous vote, the 4th midterm exam is now set on Wednesday, 12/5 in the same room. There will be a review on Monday, 12/3.
• (11/29) Please come to class on Friday, 30 Nov. Two students suggested moving the 4th midterm back to Wednesday (12/5), and collect the exam on Friday (12/7) during the extra class. Come to the class and cast your vote.
• (11/27) There will be a review session for final exam on Friday, 7 December at the usual class time 11:50-12:40 in JWB 308.
• (10/30) The third midterm exam will be held on Wednesday, 7th Nov. There will be an extra office hour on Thursday, 1st Nov at 5pm, in JWB 308.
• (10/4) The second midterm exam will be returned on Friday, 5th Oct. The median is in the 90+ %.
• (9/24) The seoond midterm exam is scheduled on next Wednesday, 3rd Oct. There will be an extra office hour 5-6pm in JWB 308.
• (9/18) The first midterm statistics: median > 70. 90-100: 7, 80-89: 3, 70-79: 6, 60-69: 1, 50-59: 3, 0-49: 5.
• (9/14) Additional PDF on local properties of analytic functions.
• (9/7) The first midterm exam is set on Wednesday, 12 September. It covers everything up to Section 3.3, including the contents from the PDF file on Cauchy's theorem.
• (9/7) Additional PDF on higher derivatives of Cauchy integral formula.
• (9/1) For HW in Section 2.6, you will need Theorem 2.6.7, which we haven't proved, but you can use it.
• (8/24) Selected pages from Ch. 2. Cauchy's Theorem from another book.
• (8/22) If you are interested to be a notetaker for this class, please get the form from me. The Center for Disability & Access at the U is looking for a paid notetaker, at \$50/semester for the handwritten notes or \$75 for typed note.
• (8/22) You can read Ch. 1 online if you can't get your book in time.
• (8/20) Brian pointed out that a stament in Sect 1.2 Problem 3 is clearly false. There should be an absolute value sign on the right hand side.

HW:
• Problems will be finalized after each lecture. Tentative problem sets are posted before lectures but might be subject to change.
• (Due 8/27) Sect 1.1: 4, 5, 10, 13, 17. Sect 1.2: 3 (put abolute value on the right hand side), 6. Sect 1.3: 5, 6, 12. Sect 1.4: 4, 9, 11, 13, 16, 18.
• (Due 9/5) Sect 2.2: 7, 8, 9, 15. Sect 2.3: 3, 6, 7. Sect 2.4: 2, 8. Sect 2.5: 7, 8, 9. Sect 2.6: 1, 2, 3, 4, 5.
• (Due 9/10) Sect 2.7: 1, 2, 3, 4, 5, 10, 12, 13, 14. Sect 3.2: 1, 2, 6. Sect 3.3: 4, 5, 7, 8.
• (Due 9/17) Sect 3.2: 14, 15, 16. Sect 3.4: 2, 3, 4.
• (Due 9/24) Sect 3.4 : 10, 13. Sect 3.5: 1, 4, 5, 7.
• (Due 10/3) Sect 4.1: 1, 7. Sect 4.2: 2, 4. Sect 4.3: 1, 2, 6. Sect 4.4: 1, 3, 4, 8, 9.
• (Due 10/15) Sect 4.5: 1, 2, 11.
• (Due 10/22) Sect 5.1: 2, 3, 7, 8, 11. Sect 5.2: 1, 3, 6, 7, 10 Sect 5.5: 1, 2, 4.
• (Due 10/29) Sect 6.1: 2, 4. Sect 6.2: 1, 2, 6, 7. Sect 6.3: 2, 4.
• (Due 11/7) Sect 6.4: 1, 2, 5.
• (Due 11/21) Sect 7.1: 1, 2. Sect 7.4: 7, 12. Sect 8.1: 2, 3, 8, 9, 10, 11, 12.
• (Due 11/26) Sect 8.2: 1, 2, 7.
• (Due 12/5) Sect 8.2: 8, 10. Sect 9.1: 2, 4, 9, 10 + (a complete proof of Theorem 9.1.7 from definitions). Sect 9.2: 2, 3.