MATH 488 : Senior Capstone : Fall 2021   (4 credits)
TR 8-11:40 am,   CST 316

Instructor
Anand Pardhanani Email: pardhan@earlham.edu
CST 210 Phone: 765-983-1683

Office hours   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.
Class website   http://cs.earlham.edu/~pardhan/courses/capstone/
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.
Requirements this class fulfills  
This class is required for majoring in math.
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:
  1. Learn new mathematics independently.
  2. Make connections between different areas of mathematics, and between mathematics and other disciplines.
  3. 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.

Course pre/co-requisites: MATH 420 and 430.  
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.

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.
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:
  1. Academic infractions are a much bigger problem at Earlham than many of us would like to believe or admit.
  2. 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.
  3. 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. "

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/
Other sources of help  
  1. 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.
  2. 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.


Syllabus Appendix (click here to view)