The Discrete Faculty Mentoring Network Approachable Modeling without Calculus
Applications due by September 30, 2017
Many scenarios in the life sciences can be modeled with discrete difference equation models which simulate how quantities change over evenly spaced intervals. The construction and analysis of models of discrete difference equations do not require knowledge of calculus, and thus make excellent exemplary models in courses where the typical student may not be proficient in calculus. In this Faculty Mentoring Network (FMN), participating biology faculty will engage in converting the materials developed for an undergraduate freshman level course on discrete mathematical modeling for the life sciences (including readings, lecture slides, and computer lab projects) into single modules (separated from the developmental sequence of a math course) to be utilized in the participating faculty's Spring 2018 biology courses. During November, participants, with support and feedback from the FMN, will develop all the materials necessary for implementing a module using discrete difference equation modeling in one of their Spring 2018 courses. During the semester, the FMN will provide support for the implementation and assessment of the newly developed modules. At the end of the semester, the participating faculty will publish the materials developed for their modules (including readings, lecture notes/slides, assignments, and assessment tools) as resources on QUBES. Additionally, FMN participants will be eligible to apply for funding to support the further dissemination of their developed module as a published article in Letters in Biomathematics, or as a poster presentation at BioQuest 2018 or BEER 2018.

Please see https://qubeshub.org/groups/discretefmn_f2017/schedule for a more detailed schedule of The Discrete FMN.

Commitments & Benefits of Participation
To qualify, participants must be willing to
-- Incorporate a single module which introduces and utilizes discrete difference equation modeling in the context of a biological application relevant to on of their Fall 2017 classes
-- Commit to an one hour virtual kick-off meeting during the week of November 7, 2017
-- Commit to eight virtual meetings during November - December, 2017 to work with the mentors and other participants on developing materials for discrete difference equation modules and providing feedback on the development and implementation of other participants' modules; The first four of which will be on the weeks of 11/7, 11/13, 11/27,12/4, and 1/15; three meetings will be scheduled based on the timing of the implementation of the modules; the last meeting will be scheduled near the end of the Spring 2018 semester
-- Commit additional time outside of the virtual meetings to develop and implement a module
-- Publish all materials developed for the completed module as a Resource on QUBES

Participants in the Discrete FMN will
-- Develop and implement a single module which introduces and utilizes discrete math modeling in the context of a biological application relevant to one of their courses
-- Have access to peer mentors as they develop the materials (lecture notes/slides, reading materials, student assignments/labs, quiz/exam questions) for their module
-- Be eligible to apply for funding to support the further dissemination of their developed module as a published article in Letters in Biomathematics, or as a poster presentation at BioQuest 2018 or BEER 2018

Potential Biological Applications Modeled by Discrete Difference Equations
As a part of the FMN, peer mentors Erin N. Bodine and Carrie Diaz Eaton will share materials they have developed for undergraduate courses on mathematical modeling which cover the use of discrete difference equation models for a variety of biological applications including:
1. Exponential and logistic growth of a cell culture
2. Population genetics (including Hardy-Weinberg equilibrium, natural selection, natural selection of a sex-linked gene, and gene flow)
3. Pharmacokinetics and drug dosing
4. Population growth with harvesting/stocking
5. Interacting populations (predator/prey and competition)
To preview some of these materials, please visit https://qubeshub.org/resources/468
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Which of the following best describes your primary institution?
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What courses are you teaching in the fall?
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In which course would you incorporate the module that you develop as a part of this FMN?
Please list the course and which of the five application areas listed in the description above would be applicable to your course (there may be more than one appropriate application area per course). If you there is more than one course that you are teaching for which a discrete difference equation modeling module would be appropriate, please list each course and relevant application area.
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