Math 220A Complex Analysis



Lectures:  MWF from 12:00 to 12:50pm
Location:  7421 AP&M.

Instructor:  Ming Xiao
Email:  m3xiao@ucsd.edu
Office Hours:   4:00-5:00 pm (MWF), 7426 AP&M (or by appointment).

Textbook:   Functions of one complex Variable I, Second Edition, John B. Conway.

Online Score:   You will be able to check your scores for the graded homework and the tests on the Ted(tritoned.ucsd.edu).
Please check them for accurary and report to me immediately any discrepancy with the scores you have on your homework or test.




Teaching Assistants:  
Jacob Postema (jpostema@ucsd.edu),         Office Hours: 4-6pm on Thursdays, AP&M 6132.



Exam:
  • There will be one midterm exam. They will be given in class on Nov. 9th;
  • Final exam will be on Friday, December 13th (Location: TBA).



    Grading Policy:   The grades will be determined as the following:

  • 20% Homework, 30% Midterm Exam, 50% Final Exam.




    Lecture Notes:


    Sept. 28th: Notes    for Chapter 1.
    Oct. 1st:   Notes    for Chapter 2, part I.
    Oct. 3rd: the same as Oct. 1st.
    Oct.5th:   Notes    for Chapter 2, part II.
    Oct.8th:   Notes   for Chapter 2, part III.
    Oct. 10th-Oct. 21th:   Notes    for Chapter 3, part I.
    Oct. 24th-Oct.26th:   Notes    for Chapter 3, part II.
    Here  is an earlier lecture note by Prof. James Mckernan on proving conformal maps must be analytic.
    Oct. 29-Nov.2rd:  Notes    for Chapter 4, part I.
    Nov. 5th-Nov.9th:   Notes    for Chapter 4, part II.
    Nov. 14th-Nov.16th:   Notes    for Chapter 4, part III.
    Here is the solution    for Midterm exam.
    Nov. 19th-Nov. 21st:   Notes    for Chapter 4, part IV.
    Nov. 26th-Nov. 30th:   Notes    for Chapter 4, part V.
    Dec. 3rd:   Notes    for Chapter 4, part VI.
    Dec. 5th:   Notes    for Chapter 5, part I.





    Announcements:



    The final exam will be 11:30am-2:29pm Thursday, Dec. 13th in AP&M 7421. It will cover page 30-105 in the textbook (page 53-54 are excluded). Here is some practice problems.

    There are some extra office hours:

    Dec. 11: 3-5pm;

    Dec.12: 4-6pm.



    Homework Assignment

     HW 1: Due Oct. 8th, Mon. in class.
    Chapter 1, Page 6: 2 (a), (b);   7;
    Chapter 2, Page 17: 1 (a);
    Chapter 2, Page 20: 3,   8.
    You can find solutions to the graded HW1 problems here.

    HW2: Due Oct. 15, Mon. in class.
    Chapter 3, page 33: 6.
    Chapter 3, page 43-44: 1,   4.
    You can find solutions to the graded HW2 problems here.

    HW3: Due Oct. 22, Mon. in class.
    Chapter 3, page 44: 6, 7, 8, 12, 14.
    You can find solutions to the graded HW3 problems here.

    HW4: Due Oct. 29, Mon. in class.
    Chapter 4, page 54-55: 1,   6,   7,   8,   9,   10.
    You can find solutions to the graded HW4 problems here.

    HW5: Due Nov. 5, Mon. in class.
    Chapter 4, page 56: 21,   22,   24.
    You can find solutions to the graded HW5 problems here

    HW6: Due Nov.14, Wedn. in class.
    Chapter 4, page 67-68: 12,   13,   19,   20.
    Chapter 4, page 74: 7. (b), (d),   9 (a), (d), (e),   10.
    You can find solutions to the graded HW6 problems here.

    HW7: Due Nov. 19th, Mon. in class.
    Chapter 4, page 80: 1, 3, 6, 8, 9, 10.
    Chapter 4, page 83: 4.
    You can find solutions to the graded HW7 problems here.

    HW8: Due Nov. 26th, Mon. in class.
    Chapter 4, page 83: 3;
    Chapter 4, page 87:5, 6, 7.
    You can find solutions to the graded HW8 problems here.

    HW9: Due Dec. 3rd, Mon. in class. This homework is optional. If you hand it in, you will get up to 10 bonus points which will be added to your HW total grade. However, the maximal total grade you can get for HW is 130/130.
    Chapter 4, page 96: 5, 6, 10;
    Chapter 4, page 99: 2, 3.
    You can find solutions to the graded HW9 problems here.