Math 345 S24 (Directed Studies)

Jan-April 2024

Curriculum Plan

Course: Math 345 Mathematical Modelling

Instructor: Lev Idels

Text: N/A

Start: Jan 6 2024

End: Apr 9 2024

Credits: 3

Course Structure & Content

An introduction to the application of mathematics as a tool for studying complex systems in science and engineering. Topics include model fitting, experimental modeling, modeling with difference , ordinary and partially differential equations.

The student will work through the assigned online textbooks independently, complete bi-weekly assignments, and meet with the instructor once a week for lecture/discussion. Course content will be consistent with the standard classroom version of the course.

Syllabus’24

Block 1	Modeling of chemical, biological and physical systems; Dynamical systems via difference equations
Block 2	Modeling with systems of differential equations
Block 3	Modeling with partial differential equations.
Block 4	Fitting models to data graphically and analytically. Experimental modeling. Cubic splines and interpolation.

Assignments, Evaluation and Feedback

The student will be assigned weekly reading from the assigned textbooks and will be required to submit proof based written assignments. Graded assignments will be returned along with written comments. Evaluation will consist of 4 Assignments worth 60% and a final project worth 40%.