2024 Fall Course Syllabus - Mathematics 8200.001

Course: Mathematics 8200.001.

Course Title: Topics in Applied Mathematics: Multiscale Modeling and Methods.

Credits: 3.

How this course will be taught: in person.

Time: MW 10:30-11:50.

Place: 617 Wachman Hall.

Instructor: Benjamin Seibold.

Instructor Office: 518 Wachman Hall.

Instructor Email: benjamin.seibold@temple.edu

Instructor Phone: 215-204-1656.

Course Web Page: https://www.math.temple.edu/~seibold/

Office Hours: TBD.

Prerequisites: -.

Course Materials: see course website.

Course Goals: Students will obtain a perspective of many aspects related to mathematical models and methods. They will learn about modeling, mathematical analysis, and computational methods that effectively handle problems that exhibit multiple scales.

Topics Covered: Many real-world systems possess a variety of scales, with the micro-scale dynamics of the constitutive particles (such as atoms in materials, biological cells in organisms, or vehicles in traffic flow) shaping emergent structures on the macroscopic "laboratory" scale in non-trivial ways. This course provides a trip into the world of mathematical multiscale methods that enable the systematic traversing of these scales. Besides introducing applications in materials, traffic flow, and the life-sciences, the course covers analytical multiscale methods (such as continuum dynamics from molecular dynamics, averaging methods, homogenenization, Mori-Zwanzig formalism, kinetic theory, moment methods, and uncertainty quantification) as well as discusses important computational multiscale methodologies (such as multigrid methods, the fast multipole method, and adaptive mesh refinement).

Course Grading: assignments and in-course presentations: 50%; final examination: 50%.

Exam Dates: 12/16/2024.

Attendance Policy: Attendance is expected. If a student cannot attend a class, they have to notify the instructor in advance. Moreover, attendance of certain office hours is expected in line with the semester assignments.

Attendance and Your Health: To achieve course learning goals, students must attend and participate in classes, according to your instructors' requirements. However, if you feel unwell or if you are under quarantine or in isolation because you have been exposed to the virus or tested positive for it, you should not come to campus or attend in-person classes or activities. Students have the responsibility to contact their instructors to create a plan for participation and engagement in the course as soon as they are able to do so and to make a plan to complete all assignments in a timely fashion when illness delays their completion.

Disability Statement: Any student who has a need for accommodations based on the impact of a documented disability or medical condition should contact Disability Resources and Services (DRS) in Howard Gittis Student Center South, Rm 420 (drs@temple.edu; 215-204-1280) to request accommodations and learn more about the resources available to you. If you have a DRS accommodation letter to share with me, or you would like to discuss your accommodations, please contact me as soon as practical. I will work with you and with DRS to coordinate reasonable accommodations for all students with documented disabilities. All discussions related to your accommodations will be confidential.

Academic Freedom: Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here (opens in new tab/window).

Add/Drop Policy: Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar (opens in new tab/window) for exact dates.

During the Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (opens in new tab/window) for exact dates. See the full policy by clicking here (opens in new tab/window).

AI Policy: The use of generative AI tools (such as ChatGPT, DALL-E, etc.) is not permitted in this class unless specifically announced for a particular assignment; therefore, any use of AI tools for work in this class may be considered a violation of Temple University's Academic Honesty policy and Student Conduct Code, since the work is not your own. The use of unauthorized AI tools will result in a grade of zero on the assignment; a second offense will be reported to the Student Conduct Board.

Incomplete Policy: The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here (opens in new tab/window).

Student Support Services: The following academic support services are available to students (all links open in a new tab/window):
    The Math Consulting Center
    Student Success Center
    University Libraries
    Undergraduate Research Support
    Career Center
    Tuttleman Counseling Services
    Disability Resources and Services
If you are experiencing food insecurity or financial struggles, Temple provides resources and support. Notably, the Temple University Cherry Pantry and the Temple University Emergency Student Aid Program are in operation as well as a variety of resources from the Division of Student Affairs.