Course Description

Course Name

Differential Equations & Computer Experiment 1

Session: VSOS3221

Hours & Credits

3 Credits

Prerequisites & Language Level

Taught In English

  • There is no language prerequisite for courses at this language level.

Overview

Course Outline
Many natural and social science phenomena can be expressed in differential equations. In this lesson, you will learn how to express these phenomena in differential equations and how to find them. In particular, we study various methods of finding solutions to equations, centered on cases expressed in the form of linear differential equations.

Course Objective
By the end of the course students will be able to
-Modeling simple natural phenomena to derive differential equations
-You can visualize the solution of differential equations in a simple form using Direction fields.
-Find critical points of the first autonomous equation and predict the stability of the solution
-Solve various types of linear differential equations and prove the existence and uniqueness of solutions
-You can find solutions in the form of Series solutions.
-You can find the solution of differential equations using Laplace transform
-Can draw phase portrait for 2x2 linear systems
-Linearize 2x2 nonlinear systems and predict the stability behavior of the solution

*Course content subject to change