MTH 420/520 - Sec 001
Models and Methods of Applied Mathematics

Particular topics this year will additionally include polynomial chaos expansions, Lagrange multipliers, Kalman filter, simplex method, duality, Kuhn-Tucker conditions, and nonlinear programming.

You are expected to actively participate in class and keep up with producing quality written work, including advance preparation for class. The major categories are Homework, Lab, and Exam.

MTH 420 Measurable Student Learning Outcomes:

A successful student who has completed MTH 420 will be able to:

• formulate a minimum energy or equilibrium problem as a linear least squares problem, solve, and interpret the solution within the context of the application;
• solve contrained optimization problems with Lagrange variables;
• recognize the importance of duality in optimization problems including linear programming, optimal control and calculus of variations;
• apply the simplex method to linear programming problems;
• recognize the importance of orthogonality in polynomial, Fourier, and eigenfunction expansions;
• apply polynomial chaos to a random ordinary differential equation;
• use Python libraries to solve computational examples of the above problems.

A successful student who has completed MTH 520 will additionally be able to:

• solve real-world linear programming problems with the simplex method;
• analyze polynomial chaos applied to a random ordinary differential equation;
• use object-oriented Python code to solve computational examples of the above problems.

Accommodations:
Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you, as a student, believe you are eligible for accommodations but have not obtained approval please contact DAS immediately at 541-737-4098 or at http://ds.oregonstate.edu. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.

Grade Distribution

A. Advanced preparation, where you read pages from the book and formulate questions related to this. These are submitted on-line.
B. Warm-up exercises, where you explore your basic understanding. Your initial work is submitted on-line before class; you also bring a copy to class, as this forms the basis for group work.
C. Graded exercises. These are submitted on-line before the class hour on the day due.

The first two of these are graded as Complete (Check +), Partially Complete (Check), Largely Incomplete (Check −) (Warm-up exercises are considered incomplete if you do not participate in class the day they are due.) The graded exercises will be more thoroughly graded.