Martin Flashman's Courses
Math 418 Introduction to Complex Analysis
Spring, 2015 MWF 11:00-11:50
WORK IN PROGRESS!
Subject to change! Changes after 1-21-2015 will be noted.
Last updated: 1/21/2015
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Spring, 2015 COURSE
Math 418 Introduction to Complex Analysis
OFFICE: BSS 346
Office Hours : Monday 3:00 - 4:00 BSS 346; AND BY APPOINTMENT or chance!
Shared Hours Tuesday &Thursday 12:00-12:50; Wednesday 9:00-9:50 BSS 308.
***PREREQUISITE: Math 210 and Math 240 OR permission.
The total points available for the
semester is 600 or 700. Notice that 300 of these points are not
from examinations, so regular participation is essential to
forming a good foundation for your grades as well as your
- Catalog Description: MATH 418. Introduction to Complex
Analysis (3) S. Analytic and meromorphic functions, power series,
singularities, and residues.
[Prereq: MATH 210 and MATH 240. Offered alternate years.]
- SCOPE: This course will cover foundational issues in
the analysis of complex numbers and functions for complex numbers. We
will examine informally and formally theorems and theories for
limits, continuity, differentiability and integrability.
Supplementary readings and materials will be supplied as
appropriate, as well as edited class notes on line.
- Textbook: Complex Variables 2nd Edition: Author: Schaum Outline ISBN: 9780071615693 Copyright Year: 2009 Publisher: McGraw-Hill
- Other Resources will be listed on the MOODLE page for reading and reference. See also Complex Analysis: From Wikipedia, the free encyclopedia.
- TESTS AND ASSIGNMENTS:
Homework assignments are made regularly and should be passed in on
the due date. Sloppy and disorganized work will not be accepted.
See Discussion of Flipped Classroom.
Homework may not be accepted after 5 pm on the
There will be at least three quizzes (on-line using Moodle), one
self-scheduled mid-term exam, a special "partnership"
assignment, and a comprehensive final examination.
- The Mid-term Exam will be self-scheduled announced at least
one week in advance.
- THE FINAL EXAMINATION WILL SELF- SCHEDULED. One
option is as listed on the University Exam schedule-Wednesday May 13, 10:20-12:10.
Also possible are Monday May 11, 12:40 -14:30; Thursday May 14, 10:20-12:10; Thursday, May 14, 15:00-16:50; and Friday, May 15 10:20-12:10.
- The final exam will be comprehensive, covering the entire
- BECAUSE OF THE INTENSE NATURE OF THIS COURSE, MAKE-UP TESTS
WILL NOT BE GIVEN EXCEPT FOR VERY SPECIAL CIRCUMSTANCES!
- It is the student's responsibility to request a makeup
*** DAILY ATTENDANCE SHOULD BE A HABIT! ***
- Flipped: We will use a pedagogy based on a flipped classroom, a form of blended learning
in which students learn content online by watching video lectures,
usually at home, and homework is done in class with teachers and
students discussing and solving questions.
This result of this approach is also described as flipped learning
where direct instruction moves from the group learning space to the
individual learning space, and the resulting group space is transformed
into a dynamic, interactive learning environment where the educator
guides students as they apply concepts and engage creatively in the
This approach means that classroom time for the course will rarely
involve me making lecture presentations but instead classroom time will
involve a variety of activities such as problem discussion, reviewing
materials by students presentations,and resolving questions on materials
assigned for reading or viewing prior to the class meeting.
- Students are responsible at each class to come
prepared to discuss the assignments - with solved exercises/ problems
and/or questions on problems that presented difficulty in arriving at a
- Partnership Activities:
Partnerships of 2 or 3 members will work on some activities
jointly. Every two weeks your partnership will submit a
summary of what we have covered in the course reading and work. (No more than
two sides of a paper.) These may be organized in any way you
find useful but should not be a copy of class notes. I will
read and correct these before returning them. Partners will
receive corrected photocopies. Your summaries will be allowed as references for part of the
final examination only.
- On a weekly rotating basis partnerships will be responsible for
submitting a record of the past week's classroom work (in an electronic
format). This should include problems and examples as well as
definitions, theorems, and proofs covered in class. I will review and revise these and then publish them on the Class
Notes and Summaries page.
- GRADES: Final grades will be determined taking into
consideration the quality of work done in the course as
evidenced primarily from the accumulation of points from the
- The quizzes will be worth a total of 60 points.
- The Midterm exam will be worth 100 points, the partnership
assignment will be worth 50 points, and the final exam will be
worth 200 points.
- The work on the bi-weekly summaries will be used to
determine 40 points .
- Homework performance will count for 100 points.
- Class work (participation) will count 50 points .
- The final examination will be
be worth either 200 or 300 points determined by the
The final grade will use the
score that maximizes the average for the term based on all
possible points .
||200 or 300
||600 or 700
FINAL GRADES: Though final
grades for the course are subject to my discretion, I will use the
following overall percentages based on the total number of points
for your work to determine the broader range of grades for the
; B 70- 84% ; C 60- 69%
; D 50- 59% ; F 0- 49%
MORE THAN 4 ABSENCES MAY LOWER THE FINAL
GRADE FOR POOR ATTENDANCE.
with Disabilities: Persons who wish to request
disability-related accommodations should contact the
Student Disability Resource Center in the Learning
Commons, Lower Library, 826-4678 (voice) or 826-5392
Some accommodations may take up to several
weeks to arrange. http://www.humboldt.edu/disability/
policy: Students are responsible for knowing the
University policy, procedures, and schedule for
dropping or adding classes.
See the University rules and dates related to the following:
- No drops will be allowed
without "serious and compelling reasons" and a fee after
- No drops allowed after this
- Students wishing to be
graded with either CR or NC should make this request
using the web registration procedures.
evacuation: Please review the
evacuation plan for the classroom (posted on the orange
signs), and review http://www.humboldt.edu/emergencymgmtprogram/evacuation_procedures.php
for information on campus Emergency Procedures.
During an emergency, information can be found campus
conditions at: 826-INFO or www.humboldt.edu/emergency
honesty: Students are responsible for knowing
policy regarding academic honesty: http://www2.humboldt.edu/studentrights/academic-honesty or http://pine.humboldt.edu/registrar/catalog/
and disruptive behavior: Students are
responsible for knowing policy regarding attendance
and disruptive behavior:
- TECHNOLOGY: The computer will be used for some
problems. Students wishing help with any graphing
calculator should plan to bring their calculator manual with
them to class. Computer software would also be useful. Some free
online resources will be posted on Moodle.
- Daniel Solow's links about thinking and structure in
Mathematics (aimed at Linear Algebra but more general than
REASONING-- an explicit discussion of general thinking
processes that arise in all advanced mathematics courses.
These thinking processes include:
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