BSc:MathematicalModeling

Mathematical Modeling

• Course name: Mathematical Modeling
• Course number: XYZ
• Knowledge area: Mathematical Physics

Administrative details

• Faculty: Computer Science and Engineering
• Year of instruction: 3rd year of BS
• Semester of instruction: 1st semester
• No. of Credits: 4 ECTS
• Total workload on average: 144 hours overall
• Class lecture hours: 2 per week
• Class tutorial hours: 2 per week
• Lab hours: 2 per week
• Individual lab hours: 0
• Frequency: weekly throughout the semester
• Grading mode: letters: A, B, C, D

Prerequisites

• Mathematical Analysis I
• Mathematical Analysis II
• Analytic Geometry and Linear Algebra I
• Analytic Geometry and Linear Algebra II
• Discrete Math and Logic
• Differential Equations

Course outline

The overall goal of this course is to enable students to build mathematical models of real-world systems, analyze them and make predictions about behavior of these systems. Variety of modeling techniques will be discussed with examples taken from physics, biology, chemistry, economics and other fields. The focus of the course will be on seeking the connections between mathematics and physical systems, studying and applying various modeling techniques to creating mathematical description of these systems, and using this analysis to make predictions about the system’s behavior.

Expected learning outcomes

After completing this course, a student will be able to:

• Assess and articulate what type of modeling techniques are appropriate for a given physical system.
• Construct a mathematical model of a given physical system and analyze it.
• Make predictions of the behavior of a given physical system based on the analysis of its mathematical model.

Expected acquired core competences

• Concepts and practical use of mathematical modeling

Reference material

NA

Required computer resources

No special needs.

Evaluation

• Weekly quizzes (20%)
• Home assignments (30%)
• Midterm Exam (20%)
• Final Exam (30%)