Math 345 Complex Variables Fall 2017, Prof.
Mark Janeba
Course Content, Goals, and methods:
Upon
completion of this course, successful students will demonstrate the
ability to:
- Apply the central concepts of undergraduate complex analysis, including:
- Performing computations in complex arithmetic and algebra, including dealing with branching functions
- Identify elementary analytic functions and apply their
properties, e.g. the maximum modulus theorem, Liouville's theorem,
conformality,
- Apply properties of complex contour integrals, e.g. the Cauchy-Goursat theorem, the Cauchy integral formula
- Find Taylor and Laurent series for analytic or meromorphic
functions by multiple methods, and use them to compute integrals via
residues
- Understand elementary properties of the Möbius transformations on the Riemann sphere.
- Present cogent written arguments relating to the content matter above, and recognize faulty reasoning in this context.
- Know the safety protocols to follow when dividing by zero.
Learning methods employed will be:
- Readings, lectures, classroom discussion, completing assignments, in-class and take-home exams and quizzes.
Grading
| Best four of five (approx) quizzes
at 25 points each: |
approx. 100 points |
| Three midterm exams at 100 points each: |
300 points |
| Comprehensive Final exam: |
200 points |
Several homework
collections, ~20 points each
|
around 100-160 points
|
Total: |
700-760 points (approx) |
For each graded piece of work, I will post cutoff scores for grades
of A-, B-, C, C-, and D. At the end of the term, if your point total is
more than the total of the A- cutoffs, your grade will be an A- or
better,
and so on. Cutoffs will never be higher than: A-:
90%
B-: 80% C: 70% C-:
67%
D: 60% ... but they are often lower.
Exams: Midterm exams, when given in-class,
use the entire class hour. When given on a take-home basis, you will
usually have about a week to complete exams. The first midterm
will be given in-class, at least one of the later exams will be
take-home. All midterms are based on the chapters covered since
the
previous exam. Exam dates will be announced at least several class days
in advance. Take-home exams will come with special instructions in the
exam assignment.
The final exam is cumulative over the entire
term.
Final exam date: Thursday, Dec. 14 from 8-11 a.m.
This exam will likely be given on a take-home basis, due at the
scheduled final exam time, and assigned at least one week in
advance.
Whatever the final exam format, your final exam score will be the
determining factor if your grade is otherwise on the border between two
adjacent grades.
Exam makeup policy: Midterm make-ups or early midterms are
given
only for verifiable illness or for university-sanctioned
intercollegiate
activities. For collegiate activities, you must see me before
you
leave to arrange a makeup time. In any case, you must contact me in
advance except in emergencies.
Final exam time is Thursday, Dec. 14 from 8-11 a.m., as set by the
University; early finals will not be given (though in the event of a take-home final, you may certainly turn it in early). Please make travel
plans accordingly.
Quizzes are 20 to
25 minutes long, with problems that resemble homework. Quizzes are announced at least one class meeting in advance.
Homework is
assigned daily but collected only in part and only from time to time.
That
is, from time to time I will announce the collection of some selected
problems that had previously been assigned. Sometimes, but not
always, I will give a day's notice or so, which makes it important that
students keep
their homework up to date. Keeping current on the homework will
greatly enhance your learning (and make homework collection days calm
and stress-free). Getting behind on homework is one sure way to
make the class unpleasant. (And we don't want that, right?)
Participation, worksheets, and attendance:
It is expected that students make every effort to come to every class
prepared to discuss the assigned problems.
Please note the "dropped" quiz that is
built into
the grading system allow students some flexibility and allow
for unexpected difficulties in students' lives. Students can
use this flexibility so that an afternoon off, an appointment, a
"personal
day", a day of unpreparedness, or other event will not damage their
grade.
Please be aware, though, that it is the students' choice to use it
or
save it for unexpected difficulties later in the term, and each
student
must abide with the consequences of those choices.
Departmental Colloquium Attendance Requirement:
As is the case with all 300-level mathematics courses at Willamette,
students in this class are required to attend three of the semester's
departmental colloquia. The purpose of this requirement is to
instill an appreciation of the breadth and variety of mathematical
topics, techniques, people and (academic) programs. If scheduling
conflicts make colloquium attendance impossible, alternative short
written assignments will be made. If a student anticipates
needing this alternative for more than one colloquium session, they
should contact the instructor well in advance so that suitable
assignments can be prepared. Failure to complete this requirement
will result in a modest grade penalty for the course.
Accommodations for students with disabilities: Accomodations
required by students with disabilities will be provided upon reasonable
advance notice and verification of requirement/eligibility from the Office of Accessible Education Services (Matthews 103). If you forsee needing an accomodation,
it is probably best to inquire at the Office of Accessible Education Services at
the start of the semester. If Accessible Education Services prescribes
extra time for exams, you must remind your instructor of your needs at
least one week before an exam and send an email reminder at least three
days before the exam to ensure appropriate accommodations have been
made.
Policy on in-class distractions and cell phones: It
is important to respect the concentration and attention of each student
in the class. Class time is limited, precious, and the tuition is
quite expensive per minute.
Arriving late for class is not acceptable barring genuine
emergencies.
Electronic devices not required (explicitly by the instructor) for the
course must be completely silent during class time (no vibrate mode, please), including laptop computers
and smartphones.
Exceptions include calculators, and special-needs aids such as
lecture-recording devices. If your cell phone rings during
regular class time, you will be required to bring pastries or cookies for the entire
class at the next class meeting. During exams and quizzes, the
penalty is more specific: two points for each ring, or one point per
second of audible sound, whichever is greater. Please help me
hold distractions for your fellow students to an absolute minimum.
Workload and time committment expectations
It is the policy of the College of Liberal Arts that for every hour of
class time there is an expectation of two to three hours of work
outside of class.
Thus, for our class you should anticipate spending six to nine hours
weekly outside of class engaged in study time, reading and homework
assignments, and group work.
Academic Honesty Expectations
All exams and quizzes are to be taken with books and notes closed
(except
as noted on the exam paper; special instructions will be given with take-home exams), completely on your own. Anything you can
electronically
store on an ordinary graphing calculator is acceptable at all times,
but written notes
are prohibited. Wireless-capable devices may not be used during in-class quizzes
and exams.
For collected homework, you may consult with fellow students for
ideas and methods, but no one else should see your final write-up of
the problem until after it has been returned. That is, sharing
your written homework solutions before they are graded (or using
someone else's) is expressly prohibited.
Plagiarism is the copying or paraphrasing of any work from another
source without
proper written acknowledgement. All students involved with
plagiarized assignments will receive failing grades on that assignment.
In keeping with college policy, plagiarism will be reported to the
dean
(see student handbook). Systematic or organized plagiarism on exams or
quizzes will result in course failure. If you are uncertain about some
aspect of the academic honesty policy, it is your responsibility to get
clarification from the instructor.
Last Modified August 31, 2017.
Prof.
Janeba's Home Page | Send comments or questions to: mjaneba
willamette.edu
Department
of Mathematics | Willamette
University Home Page