MATH-4400 (CRN 11110 T. Chen) Fall 2023 Course Syllabus

Mathematical Models and Simulations

Use of models and simulation for solving problems in applied mathematics. Techniques of setting up, solving and interpreting models as well as an introduction of selected standard models.

When, where, and who

  • Time: Tuesday and Thursday 9:30am – 10:45am
  • Room: 221 Goodwyn Hall
  • Instructor: Dr. Tianran Chen
  • Email: tchen1@aum.edu (It is best to email me directly; I do not check Blackboard message very often.)
  • Course page: http://www.tianranchen.org/teaching/modsim/
  • Office: 310A Goodwyn Hall
  • Office hour:
    • Mon, Wed, Tue, Thu: 3:15pm – 4:30pm
    • …and by appointment

My job is to help you to succeed in this class. I will be happy to discuss issues related to this course (or anything mathematical) in person or via email. In addition to the normal office hours listed above, alternative meeting time may be arranged (please give me at least 48hr advanced notice).

What we will learn

Use of mathematical models and computer simulations for solving real world problems. Along the way, we will also learn how to use some basic mathematical tools.

Prerequisite

  • MATH-2660 or MATH-3660 (Linear algebra or applied linear algebra)
  • MATH-1610 (Calculus I)

Textbook

No physical textbook is required. You will be provided lecture notes and other online material.

  • [Recommended, but not required] An introduction to mathematical modeling by E. Bender ISBN: 978-0-486-41180-4 (This is a very old book, and many topics in this book is outdated. We will only use this book for the fundamental topics.)

  • [Recommended, but not required] A first course in mathematical modeling (4th edition) by F. Giordano, W. Fox, S. Horton, and M. Weir ISBN: 978-0-495-01159-0

Attendance and participation

Participation in in-class discussions and activities is an important part of the learning process. Therefore class attendance is expected and will be recorded.

Code of conduct

Please be respectful of other people in the classroom and use common sense. In particular, please…

  • DO NOT use cell phones
  • DO NOT use social media
  • DO NOT take photos without permission
  • DO NOT sleep

Students who violate these rules will be asked to leave the classroom and will not be allowed to return until they have spoken privately with me.

Software programs

Computer programs are indispensable in mathematical modeling and simulation as many basic tasks will be nearly impossible to do by hand. Therefore you are expected to be able to use some software programs. The following programs are recommended:

  • Matlab / Octave (these two are nearly equivalent programs for numerical computations, but Octave is completely free)
  • Mathematica / Maple / Sage / SymPy (these are the standard programs for symbolic computations, and among them Sage and SymPy are free)

You will be expected to be able to carry out basic calculations in at least one of the above software programs.

Programming languages

Programming languages are the means by which you can ask computers to do things. The ability to program is an essential skill in the modern job market. In the context of computer simulation, basic programming skills can be very useful. Familiarity with the following programming languages are not required but strongly recommended:

  • Matlab / Octave
  • C / C++
  • Python / Ruby
  • Julia
  • Javascript

In-class worksheets

Worksheet problems will also be assigned in class. Since these must be completed in class, no makeup worksheets will be offered. However, a missing worksheet may be replaced by closed-book exams cover similar material.

Homework assignments

Practice in problem solving is an important part of this course. Problems will be assigned on the Blackboard system. These problems will be graded and will be a major component in your course grade. You can discuss with others about these assignments, however, you must submit your own solutions.

Projects

This course is largely based on projects which are longer open-ended problems. You are expected to spent much of your time in these projects.

In-class participation

Participation in in-class discussions will an important component of the learning process.

Grade composition

Your final course grade is determined by performance in the following learning components.

Component Points Where
Worksheets 65% In-class
Participation 10% In-class
Homework 10% Blackboard
Projects/final 15% Blackboard/in-class

Letter grade conversion scale

  • A : 90% - 100%
  • B+: 87% - 89.9%
  • B : 80% - 86.9%
  • C+: 77% - 79.9%
  • C : 70% - 76.9%
  • D+: 67% - 69.9%
  • D : 60% - 66.9%
  • F : below 60%

Policy on AI usage

Artificial intelligence (AI) language models, such as ChatGPT, may be used for homework assignments with appropriate citation, but not for projects, final exam, or in-class workseehts. If you are in doubt as to whether you are using AI language models appropriately in this course, I encourage you to discuss your situation with me. You are responsible for fact checking statements composed by AI language models.

Other policies

AUM COVID-19 updates. Please follow guidelines detailed in the AUM pandemic plan relating to the COVID-19 pandemic.

Technology equipment expectation. Access to computers and stable Internet connection are expected. Students who do not have their own equipment can use AUM open labs including labs found in the first floor of the Taylor center and the second floor of the library.

Syllabus contingency plan. Should the Alabama Department of Public Health, the Governor, or Chancellor determine the university discontinue face-to-face (in-person) instruction in the interest of safety, this course would be converted to a virtual-only format. If normal class and/or lab activities are disrupted due to illness, emergency, or crisis situation (such as a COVID-19 outbreak), the syllabus and other course plans and assignments may be modified to allow completion of the course. If this occurs, an addendum to the syllabus and/or course assignments will replace the original materials.

In case the instructor cannot attend due to COVID-related matter, a back-up instructor will be arranged by the Department of Mathematics.

Academic dishonesty. Cheating of any kind will not be tolerated. In particular, you cannot copy (totally or partially) someone else’s solutions or allow someone else to copy your solutions on quizzes or exams. If you do, you will receive an “F” in the course. Please consult Student Handbook for additional guidelines.

Disability accommodations. Students who need accommodations are asked to arrange a meeting during office hours to discuss your accommodations. If you have a conflict with my office hours, an alternate time can be arranged. To set up this meeting, please contact me by e-mail. If you have not registered for accommodation services through the Center for Disability Services (CDS), but need accommodations, make an appointment with CDS, 147 Taylor Center, or call 334-244-3631 or e-mail CDS at cds@aum.edu

Academic support. Student Success Advising in the WASC can be scheduled through Advisor Trac, email at wasc@aum.edu, or by calling our front desk at 334.244.3230. ISL: Tutoring appointments can be scheduled online by filling out the form at http://www.aum.edu/tutoringapp.

Student privacy policy. The Family Education Rights and Privacy Act of 1974, as amended, (FERPA) requires institutions receiving federal monies to protect the privacy of students’ educational records. For details go to the AUM’s FERPA website: http://www.aum.edu/academics/Registrars-office