AMATH 383: Continuous Mathematical Modeling

SLN 10062, MWF 12:00-1:00, LOW 105

Instructor: Yuan Gao (

Office Hour: WTh 4:00-5:00 Lewis 129

Course Description

The course is an introduction to mathematical modeling, with a focus on modeling using differential equations. We will mostly explore continuous problem formulations in natural sciences, yet some social science models will be covered as well.


Topics in Mathematical Modeling, by K.K. Tung. Princeton University Press.


Students are required to have successfully completed AMATH351 or AMATH307, or an equivalent class, and are expected to have knowledge of differential equations. Matlab programming is required for homework assignments.


The Mathematical Cotest in Modeling

Matlab and computing resources in Instructional Computing Lab, B022 Communications

Matlab Tutorial by Prof. Nathan Kutz. There is a corresponding coursera course for this.

Discussion Board

Potential Project Topics

Sample Project Paper



HomeworkDue DateSolutionSample Program
Homework1July 5th, 12:00pm Solutionassignment_1.m
Homework2July 12th, 12:00pm Solutionassignment_2.m
Homework3July 19th, 12:00pm Solutionspiral_plot.m
Homework4 Starter Code DropboxJuly 28th, 11:00pm Best Solutions
Homework5August 2nd, 12:00pm Solution
Homework6August 16th, 12:00pm Solution
Final Project DropboxAugust 25th, 11:00pm


There is no exam. Homework assignments count for 60% of the grade. Final group project counts for 40% of the grade.

Homework Policy

Collaboration is encouraged, but students are expected to write their own solutions. No late homework is accepted. Homework will be due before class on Friday unless otherwise specified.

Project Policy

Final group project can be done individually or in groups of at most three. Each group should submit a project proposal before July 26th. The final report should be a well-typed paper summerizing the work you have done, and will be due on August 25th.