General Information:
Meeting Time:  MWF 9  9:50 
Location:  Jones 113

Instructor:  Ryan Vinroot
Office: Jones 100D
Office Hours: M 3:305, T 10:3012, Th 3:305 (also by appointment).

Textbook:  Complex Variables and Applications (9th Edition) by
James Ward Brown and Ruel V. Churchill 
Grade Breakdown:  Class Participation  5%, Midterm  30%, Homework  35%, Final Exam  30%. The
grading scale will be the standard 10 percentage point scale, so that a final
score of 93 or higher is an A, 9092 is an A, 8789 is a B+, 8386 is a
B, 8082 is a B, 7779 is a C+, 7376 is a C, 7072 is a C, etc. 
Attendance & Lecture Policy:  It is expected that you attend all
lectures, with exceptions minimized. It is greatly appreciated when you
are on time. Please do your best to stay awake and attentive during
lecture, please do not email or text during lecture, and keep all cell
phones/hand held devices/tablets/laptops put away during lecture. While it is
understandable that you may miss a lecture here and there, or be sleepy in
class once in awhile, repeated absences, late arrivals, naps, or general
nonattentiveness will negatively affect your class participation score.

Prerequisites:  Math 311 Elementary Analysis. It is extremely
important to have a thorough knowledge of the topics from Math 214
Foundations of Mathematics, and to have a firm grasp of the main concepts
from Math 311. 

Course Summary:
Complex analysis is the study of functions and Calculus of a complex variable.
We will study and develop many of the most important notions from Calculus 1 and 2, as
well as Elementary Analysis, including limits, derivatives, integrals, and
power series.
While proofs will not be the primary focus of the course, we will give proofs
(or outlines of proofs) of most of the Theorems we develop and use. You will
be expected to prove some things as well, but the main focus will be on the
concepts and computations.
Dates & Course Announcements:
Midterm and Final Exams:
There will be one midterm (details will be determined later). The final exam
will be timed. The midterm and the final will each count as 30% of your final
grade. The final exam will be on Fri, Dec 9, from 9 AM until 12 Noon.
Exam Calendar (Tentative):
Exam 
Date 
Time/Due 
Location

Midterm 
Fri, Oct 28 
8:35  9:50 AM 
Jones 113

Final Exam 
Fri, Dec 9 
9 AM  12 Noon 
Jones 113

 All relevant announcements will be listed here. Check back frequently (don't forget
to refresh your browser) for updates.
 Important Dates and Class Holidays:
 Fri, Sep 2: ADD/DROP DEADLINE
 Sat, Oct 8  Tues, Oct 11: NO CLASS (Fall Break)
 Fri, Oct 21: WITHDRAW DEADLINE
 Fri, Oct 28, 8:35 AM  MIDTERM
 Wed, Nov 23  Sun, Nov 27: NO CLASS (Thanksgiving Break)
 Fri, Dec 9, 9:00 AM  12 Noon  FINAL EXAM
 (8/24) My office hours during the first short week of classes are as
follows: W 1:303, Th 3:305, F 12.
 (8/29) The next HW is due next Mon, Sept 5, and is a group HW. During
class time on Mon, Sept 5, you will have the chance to discuss all of the
problems together. The HW (one for each group) will be due at 5 PM that day,
on my door.
 (8/29) My office hours this week are as follows: M 34:30, T 12:30, Th
10:3012.
 (9/2) Homework 2 (the group HW) will be due on my office door (Jones 100D)
by 4:30 pm on Monday, Sept 5. The outer door of Jones 100 is usually locked
by 5 pm, or sometimes earlier, which is why I say 4:30 is the due time.
There should be one HW per group, with all of your names on the paper turned
in. I will make a copy of the graded HW for each individual in the group.
Class begins at 9 AM on Mon, Sept 5, as usual, and it will be an open
discussion on any HW problem. Groups should have already discussed and
written up all of the HW unless your are stuck on something. Professor
Bolotnikov will be there to make sure everyone is there and that the
discussion stays on track.
 (9/2) My office hours during the week of Sept 59 are as follows: T
10:3012 and 34:30, W 1:303, Th 3:305.
 (9/12) My permanent weekly office hours are set as follows: M 3:305, T
10:3012, Th 3:305 (you can also email me to try to make an appointment for
another time).
 (9/20) For those of you who are interested, I will finish the proof of the
sufficiency conditions for a complexvalued function to be differentiable at
about 8:30 on Wed morning, before class. This is a completely unrequired
halflecture. However, if you have missed a class or two, then your presence
would be noted in terms of your participation in the class (which is 5% of
your total grade).
 (9/29) On Fri, Sept 30, at 8:30 I'll talk a bit about connectedness in the
complex plane, and I will continue that topic at another time. This is a
completely optional lecture.
 (9/29) On Mon, Oct 3, and on Wed, Oct 5, we will start class officially at
8:35 on both mornings. This will be normal class material, and not extra
optional material. We will then not have class on Fri, Oct 7.
 (10/12) I will continue the extra (optional) lecture on connectedness at
8:30 AM this Friday (Oct 14).
 (10/21) Here are some problems from each chapter of the book which is covered on the Midterm:
Chapter 1: pgs. 1314 #3, 6, pg. 16 #7, 9, pg. 24 #8, pg. 31 #4, 5, pg. 35 #5
Chapter 2: pg. 44 #6, pgs. 5455 #1, 9, 12, pg. 61 #1, 2, 6, pgs. 7071 #1(a,b,d), 3, 4, pgs. 7677 #1(a,c), 2(b), 4, 5
Chapter 3: pg. 89 #1, 2, 4, pg. 95 #1, 2, pg. 99 #3, pg. 103 #1, 2, pg. 108 #9,
10, pg. 111 #7, 8 , pg. 114 #1, 3
Chapter 4: pgs. 119120 #2, 5, pg. 124 #2, 4, pgs. 132133 #1, 2, 6
Chapter 8: pg. 301 #3, 4, pg. 306 #7, 10, pgs. 325 #2, 7
 (10/25) The Midterm will be this Fri, Oct 28, in the normal classroom.
You may start the midterm as early as 8:35 AM.
 (10/31) As I stated in class, you may turn in corrections to any problems
on your midterm where you missed points, for up to 50% of your points back.
This work is due in 2 weeks, on Mon, Nov 14, at 9 AM in class. You should
complete new solutions on clean pieces of paper, and attach those to your
original exam to turn in. You may not discuss any of the problems with
anyone except for me, and I am happy to help you if you are stuck on a
problem.
 (11/8) Tomorrow (Wed, Nov 9), there will be an optional halflecture at
8:30.
 (11/10) Tomorrow (Fri, Nov 11), there will be another optional
halflecture at 8:30, continuing the proof we started during the Wed optional
halflecture.
 (11/21) There is an optional HW 12 due on Fri, Dec. 2 (the last day of
class) at 9 AM in class. The material on this HW will be covered on the
final, so even if you don't turn it in you should make sure you understand
the problems. Since this is optional, no late homework will be accepted, so
anything you would like credit for should be turned in by class time on the
last day of class. Your HW grade can only increase from turning in the
optional homework, so any problems you turn in will help. You will be able
to pick up your optional homework any time before the final exam.
 (11/28) I fixed a typo in the optional HW 12. It should be pg. 237
#1(d,e), not (d,f).
 (12/2) The Final Exam is on Friday, Dec. 9, 9 AM12 Noon, in Jones 113
(our normal classroom). The final exam will be roughly twice as long as the
midterm, and will be commulative, with a very slight emphasis on the second
half of the semester's material (something like 40% first half, 60% second
half). There will be problems not unlike the ones on the midterm, along with
some TRUE/FALSE problems based on definitions, concepts, and main
theorems.
 (12/2) The following Chapters/sections are exactly what are covered on the
Final exam:
Chapter 1  Sec. 112 (all of Chapter 1)
Chapter 2  Sec. 1327 (all but the last 2 sections)
Chapter 3  Sec. 3040 (all of Chapter 3)
Chapter 4  Sec. 4150 and 5259 (all but section 51)
Chapter 5  Sec. 6068 (just first 9 sections)
Chapter 6  Sec. 7477 (just first 4 sections)
Chapter 8  Sec. 96, 97, 103, 104, 105, 106
 (12/2) My office hours next week will be as follows:
Tues, Dec. 6: 122 pm
Wed, Dec. 7: 910 am and 122 pm
Thurs, Dec. 8: 910 am and 123 pm.
 (12/2) Here are practice problems from material covered since the
midterm. For practice problems from the first half of the class, do all of
the midterm review problems that you haven't done yet (and go over the
homework problems as well):
Chapter 4: pgs. 138139 #1, 2, 3, pg. 147 #1, 2, 3, pgs. 159160 #1(a, b, e),
2, pgs. 170171 #1, 2, 7, pgs. 177178 #4, 5, 6
Chapter 5: pg. 185 #1, 6, 7, pgs. 195197 #1, 2, 3, 11, pgs. 205206 #1, 2, 3,
5
Chapter 6: pgs. 237238 #1(a, b, c), 2(a, d), 4
Harmonic Functions (Sec. 27): pg. 90 #13, pg. 97 #11, pg. 112 #15, pg. 178 #7
Homework:
Homework problems will be a very important
part of the course, and there will be homework assigned almost every week.
Proofs and computations should be written
carefully and neatly, with attention paid to the completeness of your argument
and clarity of your steps. Individual homework
assignments should be written up by yourself, although some collaboration while
working on the homework is OK. You should not, under any
circumstances, attempt to look up solutions or hints to problems online. I
will consider this plagiarism, an honor offense.
Homework is due at the beginning of
class on the due date of the assignment, and if you like you may email me a pdf
of your homework if you LaTex it. Homework that is turned in or in my email
inbox after the beginning of the class is considered late. Late penalties are:
10% off if it is turned in after the beginning of class,
but it is in my hands, or in my email inbox as a pdf by 5 pm on the day it is
due.
20% off if it is turned in by 5 pm the next weekday after the due date.
20% more off for each (week)day late, turned in by 5 pm, thereafter.
Everything
is easier, of course, if you turn in the homework on time!
Homework scores will each be out of 50 points. Your lowest homework score of
the semester will
be dropped.
Assignment 
Problems 
Due Date 
1  pg. 8 #8, pg. 13 #5, pg. 17 #14, 15

Mon, Aug 29 
2  Individual (Don't turn in): pg. 31 #3, 5, pg. 43 #14
Group (Turn in): pg. 24 #9, pg. 31 #7, pg. 35 #10, pg. 44 #5, 8

Mon, Sept 5 
3  pg. 301 #2, 5, pgs. 5455 #2, 5, 7

Mon, Sept 12 
4  pg. 35 #6, pg. 55 #10, 11 pg. 61 #4, 8, 9

Mon, Sept 19 
5  pgs. 7071 #1(c), 2(c), 6, 8 pg. 76 #1(b,d), 2(a,c)

Mon, Sept 26 
6  pg. 77 #6, pg. 90 #7, 10 pgs. 9697 #5, 10, pg. 99 #1

Mon, Oct 3 
7  pg. 103 #6, pg. 108 #11, pg. 111 #11 pg. 114 #6, pg. 325
#4, 8

Fri, Oct 14 
8  pg. 119 #3, 4, pgs. 124125 #1, 6 pgs. 133134 #9, 10

Fri, Oct 21 
9  pg. 139 #4, 5, pg. 147 #4 pgs. 159161 #1(c,d,f), 5, 7

Mon, Nov 7 
10  pgs. 170171 #3, 4, 5, 9 pg. 79 #1, pg. 177 #1

Mon, Nov 14 
11  pg. 177 #2, 3, pg. 186 #8 pgs. 196197 #8, 9, 10

Mon, Nov 21 
12 (Optional)  pgs. 205207 #6, 7, 10 pg. 237 #1(d,e),
2(b,c), 3

Fri, Dec. 2 
Math Major Writing Requirement (Math 300):
If you are a math major, and you would like to complete your major writing
requirement through a writing assignment in this class, please let me know in
the first week of class. This writing assignment will not count towards your
grade in this class, but will rather just serve as your Major Writing
Requirement (Math 300). If you decide to do this, you must write your paper on
a topic in Complex Analysis (or a closely related subject) approved by me, and you must keep to a schedule of turning in
drafts that is set at the beginning of the semester in order to get credit.
