Mathematics 503: Introduction to Complex Analysis, Fall 2017
Information concerning Mathematics 503 (Introduction to complex analysis)
(Fall 2017) (J. Tunnell) is kept here. It will meet Monday and
Thursday 10:20-11:40
in Hill 425.
- Description
- Summary of the course, grading and structure
- References and guide to the literature
- Weekly assignments
- Each week there will be assigned reading
and weekly problem sets to be turned in.
- Week 1
-
- Text Readings: Chapter I, sections 1-2.2
- Week 1 problems (due 9/14) 1-6,8,10
- Week 1 brief notes
- Week 2
-
- Text Readings: Chapter I, sections 2.3,3 ; Chapter II, section 1
- Week 2 problems (due 9/21) 7(a,b),9, 11-17
- Week 2 brief notes
- Week 2 workshop problems
- Week 3
-
- Text Readings: Chapter II, sections 1-5
- Week 3 problems (due 9/28) Chapter II exercises 2,3,5,6,8,9,12a
- Week 3 brief notes
- Week 3 workshop problems
- Week 4
-
- Text Readings: Chapter II, sections 1-5, III section 1
- Week 4 problems (due 10/05) Chapter II 11,12b,13,15 Chapter III 1,13
- Week 4 brief notes
- Week 4 workshop problems
- Week 5
-
- Text Readings: Chapter III sections 2,3,4
- Week 5 problems (due 10/12) Chapter III 3,4,6,12,15,17;Problem 3
- Week 5 brief notes
- Week 5 workshop problems
- Week 6
-
- Text Readings: Chapter III sections 5,6,7
- Week 6 problems (due 10/19) Chapter III 8,9,10,11,14,21,22
- For 9 apply Cauchy's theorem
to log(1-e^{2\pi i z}) and remove small quarter disks about 0,1 from the
text contour
- Week 6 brief notes
- Week 6 workshop problems
- Midterm exam information
- Week 7
-
- Text Readings: Chapter VIII section 1
- Week 7 problems (due 10/26) Chapter VIII 1,3,5,6; Problems1,2
- Week 7 brief notes
- Week 7 workshop problems
- Week 8
-
- Text Readings: Chapter VIII section 2
- Week 8 problems (due 11/2) Chapter VIII 9,10,12,13,14 ; Problem 3
- Week 8 brief notes
- Week 8 workshop problems
- Week 9
-
- Text Readings: Chapter VIII sections 3,4
- Week 9 problems (due 11/9) Chapter VIII 8,17,20,24a,b ; Problem 4
- Week 10
-
- Text Readings: Chapter IV sections 1-3
- Week 10 problems (due 11/16) Chapter IV 1,3,5,6,7 Problems 2,3
- Week 10 workshop problems
- Week 11
-
- Text Readings: Chapter V sections 3-4
- Week 11 problems are not assigned due to holiday 11/23-11/26
- FINAL EXAM will be Thursday 12/14/17 12:00-3:00 Hill 425
- Week 12
-
- Text Readings: Chapter VI sections 1-2
- Week 12 problems (due 11/30) Chapter V 6,7,8 ; Chapter VI 7,10,11
- Week 12 workshop problems
- Week 13
-
- Text Readings: Chapter IX section 1
- Week 13 problems (due Monday, 12/11) Chapter IX
1,2,3,4,6,7(Hint:differentiate IV.7c twice), Problem 4
- Week 14
-
- Text Readings: Chapter IX section 2
- Week 14 problems No homework due since semester ends 12/13/17
- Final Exam Thursday 12/14/17 12:00-3:00 PM in Hill 425