Math 455
Comples Variables



This course will develop calculus of a single complex variable. It will cover the algebra of complex numbers,  analytic functions, complex integration, power series, singularities and calculus of residues, and conformal mappings. Please expect to devote a generous amount of time to this course. 


Class Meetings              Tuesday & Thursdays, 3:30 to 4:45 pm, CR 5117

Prerequisite          
Math 450a


Grading
There will be two midterm exams, each worth 100 points, and a final exam worth 200 points.  There will also be some short quizzes, each worth 30 points. Class participation will resolve borderline grades, with the possibility, for example, of a final B+ grade becoming an A-, with constructive participation and volunteering solutions in class.  Plus (+) and minus (–) grades will be assigned for this course.  The dates of the midterms will be announced in class. 

Final Exam: Tuesday, December 18, 2018, 3:00 p.m. to 5:00 p.m.

Homework
Homework will generally be assigned each class meeting and will be posted on this webpage (see below).  It is extremely important to keep up with the assignments.   I encourage you to work together with other students in the class on the homework.  Homework will not be collected, but problems on quizzes will be taken from the homework.


Textbook
COMPLEX VARIABLE, 9th EDITION (McGraw-Hill), by Brown and Churchill. 

Coverage: Chapters 1- 6 and parts or all of Chapters 7-9 as time permits. The text and the lectures are designed to augment each other and are both important. 

  
Instructor Information
David Klein
Santa Susana Hall,  Room 127  
Phone: (818) 677-7792
email: david.klein@csun.edu, web page: www.csun.edu/~vcmth00m
Office Hours: Tuesday 2:30 to 3:15 p.m., Thursday 4:45 to 5:15 & by Appointment



Assignments will be posted on this page as the semester progresses:

Chapter 1 assignments:

pg 4: 1- 4
pg 7: 1
pg 13: 1, 2, 3, 4, 5
pg 16: 1, 2, 5, 10, 15
pg 23: 1, 2, 6, 10
pg 30: 1, 2, 4, 7, 8
pg 34: 1, 2, 3, 6, 7

Quiz 1, Sept 11

Chapter 2 assignments:

pg 43: 2, 4, 9
pg 54: 1, 2, 4, 7, 10
pg 61: 1, 2, 4, 6
pg 70: 1, 3, 4, 5, 8
pg 76: 1, 2, 7
Read Section 27 (Harmonic Functions); then read Section 115 (Harmonic Conjugates pg 354) and do problems:
pg 357: 1, 5
Skip sections 28 and 29 for now (we will come back to them)

Quiz 2, Sept 20

Chapter 3 assignments:

pg 89: 1, 2, 3, 6, 12, 13, 14
pg 95: 1, 2, 3, 6, 8, 11
pg 99: 2
pg 103: 1, 2, 3, 4, 5, 6
pg 107: 1, 3, 5, 7, 8, 11
pg 111: 1, 2
pg 114: 1ad, 2

Quiz 3, Oct 2

Chapter 4 assignments:

pg 119: 2, 3, 4, 5
pg 123: 2, 5, 6
pg 132: 1, 3, 5, 6, 10, 13
pg 138: 1, 3, 4, 5
pg 147: 2, 3
pg 159: 1, 2, 3, 4, 7
pg 170: 1, 3, 4, 5, 7, 10
pg 177: 1, 2, 3, 5, 8

Exam 1, Oct 18

Chapter 5 assignments:

pg 185: 1, 3, 6, 8, 9
pg 195: 1, 2, 3, 4, 8, 9
pg 205: 1, 2, 4, 5
pg 218: 1, 3, 4, 6, 7, 8
Read sections 28 and 29 in Chap 2 (the results in Sect 28 are proved in lecture; a reference is Sect 82 in Chap 6)
pg 84: 1, 2, 4
Read on your own Sect 73 and do problems 1, 2 on pg 224

Quiz 4, Nov 13

Chapter 6 assignments:

pg 237: 1, 2, 5
pg 242: 1, 2
pg 246: 1, 2, 3, 4, 6, 8
pg 253: 1, 2, 3, 5

Chapter 7 assignments:

pg 264: 1, 2, 3, 5

Quiz 5, Nov 27

pg 273: 1, 2
pg 287: 1, 2
pg 293:  6, 8, 9

Chapter 8 assignments:

pg 301: 1, 2, 6
pg 305: 2, 8
pg 311: 1, 3, 4, 5, 6, 7, 10

Chapter 9 assignments:

Read Sect. 112
pg 352: 1, 2

Exam 2, Dec 6

Final Exam: Tuesday, December 18, 2018, 3:00 p.m. to 5:00 p.m.


Student behavior, academic dishonesty, university policies

Please arrive on time and avoid leaving early.  No text messaging.  Cell phones should be turned off during class and all exams and quizzes.  Seats may be reassigned during exams, and you must leave your ID on top of the desk.  You will need to turn in an exam or quiz if you leave the room, so go to the bathroom beforehand.  Academic Dishonesty is covered in Appendix C of the CSUN catalog. Academic dishonesty will be reported to the Office of Student Affairs.  For information about CSUN's policy for academic dishonesty, see:   http://www.csun.edu/catalog/policies/academic-dishonesty/


Note also that according to CSUN policy, a grade that is sanctioned due to academic dishonesty cannot be replaced by subsequent course grades:
http://www.csun.edu/catalog/policies/repeating-courses-grade-forgiveness-undergraduate/


This syllabus is subject to change during the semester.  Any changes will be posted here and announced in class.