COURSE SYLLABUS
Course Number: MATH2650
Course Title: LINEAR DIFFERENTIAL EQUATIONS
Credit Hours: 3
Prerequisites:
Corequisite: MATH2640
Bulletin Description:
LINEAR DIFFERENTAIL EQUATIONS (3). Coreq., MATH2630. First and second order linear differential equations including the solutions by infinite series, applications.
Objectives:
To present the fundamental concepts of linear differential equations and to develop student understanding and skills in the topic necessary for its applications in the sciences and engineering. To develop student abilities in various techniques for solving these equations.
Course Content:
Introduction to numerical methods. [2 days]
Qualitative description of first order differential equations. [6 days]
Techniques for solving separable equations and linear differential equations analytically. [6 days]
Applications of first order equations. [3 days]
Applications to various models such as population, motion, chemical mixtures.
Second and higher order linear differential equations with constant coefficients. [12 days]
Emphasis on interpreting the behavior of solutions and applications to physical models. Theory, reduction of order, variation of parameters.
The Laplace Transform. [3 days]
The Laplace transform as a tool for the solution of initial value problems whose inhomgeneous terms are discontinuous.
Series solutions. [3 days]
Computer lab and computer presentations. [5 days]
Some instruction, presentations, and examples throughout the semester will be held in the computer lab.