MATH 488 : Senior Capstone : Fall 2021
(4 credits)
TR 8-11:40 am, CST 316
Instructor
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Office hours
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The following hours are tentative -
I'll finalize office hours
after the 1st week
M: 1-2 pm. T: 1-2 pm. W: 1-2 pm.
And by appointment or walk-in.
The best way to contact me, in order of
preference, is: [1] in person,
[2] by email, [3] by phone.
Open door policy:
I keep my posted office hours to
a bare minimum, to avoid being locked into a rigid schedule
all semester. However, I am happy to assist students well
beyond my office hours. Students are encouraged to just
drop by whenever needed.
Anytime my
office door is open you're welcome to stop by and check whether
I am available.
Also, please do not hesitate to make an appointment
if my posted office hours don't work for you.
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Class website |
http://cs.earlham.edu/~pardhan/courses/capstone/
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Textbook/
Reference |
TBA |
Course
credits
This course is worth 4 credits, and
will meet for in-person classes for 400 minutes each week
for 7 weeks.
This is consistent with the standard practice of 4-credit courses
meeting for 200 minutes per week during a regular
14-week semester. In addition, students should expect a
workload outside class
of about 15 hours each week.
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Requirements this class fulfills
This class is required for majoring
in math.
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Description & objectives
In its broadest sense, the goal of a
capstone experience is to help you transition from
being a math student
to becoming a math practitioner. There are 3 specific
proficiencies related to
this goal we will strive to develop through this course:
- Learn new mathematics independently.
- Make connections between different areas of
mathematics, and between mathematics and other disciplines.
- Communicate mathematics verbally and in writing.
This course will also include a component designed to
help students explore and develop their post-baccalaureate
mathematics career options.
These objectives broadly support all the learning goals
of the Mathematics Department, and also those of
an Earlham education (see the Appendix attached
to this Syllabus).
We will work towards these objectives through a
combination of guided work and independent study. Although
some class time will be spent in traditional lecture format,
covering topics of common interest, most of the time will be
spent on presenting and discussing independent work done
by students.
Throughout the semester, there will be a strong emphasis on
student participation in writing, presenting, discussing and
critiquing.
In a course of this type, neither your instructor, nor any specific
reference sources are experts in the subject areas we will cover.
For the
most part, we will all be learning new materials, and new ways
to synthesize and connect familiar materials. The primary
role of the instructor and the reference materials will be
to serve as facilitator and coach, to help us accomplish
the above goals.
The course will
strive to place an equal emphasis on the pure and the applied
sides of mathematics. That means there will be new theorems
to learn and prove, and new mathematical methods to learn,
based on new application areas.
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Course
pre/co-requisites:
MATH 420 and 430.
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Assessment &
grading policy
Seventy five percent of the
assessment and grading in this course
will be based on student presentations and papers, and the
remaining 25% on contributions to class discussions.
While specific details will be
finalized with the help of student input, I anticipate each student
will give at least 3 presentations, and write at least 3 papers.
Grades will be approximately equally distributed between all
the presentations and papers.
Letter grade boundaries for this course
are not set in advance. They will be determined at the end of
the semester based on overall class performance, level of
difficulty of assigned work, and other such factors.
At a minimum, the following standard scale
for letter grades will be honored:
A+: 97.0-100; A: 93.0-96.9; A-: 90.0-92.9;
B+: 87.0-89.9; B: 83.0-86.9; B-: 80.0-82.9;
C+: 77.0-79.9; C: 73.0-76.9; C-: 70.0-72.9;
D+: 67.0-69.9; D: 63.0-66.9; D-: 60.0-62.9;
F: below 60.
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Important dates
* Last day to
add this course: October 6.
* Last day to drop: November 5.
* Date of final exam: November 23.
NOTE: Last drop date applies to Earlham students only.
Students cross-registered through IU-East or other institutions must
follow the dates and rules of their own institution.
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Academic integrity
After several years of writing standard,
boiler-plate stuff in this section, I have decided to replace it with
a more authentic message from my heart to yours. Before getting
into details, I would like to share 3 key ideas that profoundly
shape my thinking, and prompt me to explore more effective ways
towards academic integrity:
- Academic infractions are a much bigger problem at
Earlham than many of us would like to believe or admit.
- The problem is NOT our students!
Earlham students are as good (or better!) than their peers at
other institutions in terms of moral values and ethical standards.
- Infractions at Earlham can be significantly reduced using
a combination of strategies, collectively developed by students
and faculty.
These three points summarize my overall perspective, and
will frame the rest of my discussion on this subject.
By far the
single biggest phenomenon that has radically transformed today's
academic integrity / infraction landscape is technology --
particularly the internet and cell phones.
In my view, Earlham's
traditional approach to academic integrity has been rendered
completely obsolete by these technologies. If I were an Earlham
student today, I would encounter many situations where the
temptation to infract would be extremely high, because these
technologies make it so easy, and the risk of getting caught is
virtually zero.
This is the main reason why I say that you, the
student, are not the problem. You are human, just like me
and my faculty colleagues. It is a fact of life that many humans
succumb to temptation when the rewards are sufficiently high,
and the risks sufficiently low.
Yet, the fact remains, a growing rate of
academic infractions is a terrible thing
to ignore: They sink an institution's reputation, decrease the
value of students' education, lower student & faculty
morale, and more. Clearly, we need to explore and develop
new strategies that are more effective for our times, and also
preserve Earlham's distinctive approach to such matters. We
will set aside some class time to discuss and formulate
specific policies for helping students (joyfully!) meet and exceed
the highest standards of integrity in this class. In the meantime,
I invite you to reflect on some practical ways that would most
help and support you in avoiding the use of inappropriate
sources for completing and turning in your graded work.
I would like to conclude with the following excerpt
from the Earlham Academic Integrity Policy:
"The College trusts students who enroll
at Earlham to be
honest seekers of truth and knowledge. This trust is extended to
all students by other students and by teachers ...
Giving or receiving aid inappropriately on
assignments and tests, or plagiarizing by using another person's
words or ideas without credit, constitutes a serious breach of our
trust in one another and in the integrity of the search for truth.
Those who believe they have witnessed violations of academic
integrity should feel the obligation to speak about this to the
suspected offender. The witness also should feel obligated to
report the suspected offender to the instructor if the person
fails to offer a satisfactory explanation and refuses to report
him or herself. ...
Violations of academic integrity, because they undermine our
trust in one another and in the credibility of the academic
enterprise, are taken very seriously. Penalties for violations
range from failing assignments or tests to suspension or expulsion
from the College.
"
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Academic accommodations
Students with a documented disability
(e.g., physical, learning, psychiatric, visual, hearing, etc.)
who need to arrange reasonable
classroom accommodations must request accommodation memos
from the Academic Enrichment Center (main floor of Lilly
Library) and contact their instructors each
semester. For greater success, students are strongly encouraged
to visit the Academic Enrichment Center within the first two weeks
of each semester to begin the process. For further details, please visit
https://earlham.edu/academics/academic-support-and-special-programs/academic-enrichment-center/accessibility-services/
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Other sources of help
- The Academic Enrichment Center:
The Academic Enrichment Center (AEC), located in
Lilly Library,
provides assistance with study habits and skills as well
as a peer tutoring service. The AEC is staffed by trained
peer tutors for either pre-arranged group tutoring sessions
(provided for many math, science and social science
courses) or one-on-one tutoring sessions for other
courses. Peer tutoring is a free service offered to all
Earlham students. Please visit
https://earlham.edu/academics/academic-support-and-special-programs/academic-enrichment-center/peer-tutoring/
for more information.
- The Earlham Writing Center:
The Writing Center is dedicated to providing students
with advice and resources about writing. Students can meet
one-on-one with trained consultants who will contribute feedback
to writers at any stage of the writing process: brainstorming,
drafting, researching, revising, and polishing. This is a free, walk-in
service on the main level of Lilly Library.
In addition to dropping by, students may
also schedule an appointment in advance
using the online scheduler found at:
http://www.earlham.edu/writing-center/.
Also, if you want help with specific grammar topics related
to your own writing,
https://www.grammarly.com/edu is available
for all Earlham students to proofread their papers and learn
more about grammatical errors.
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