

3 Credits  200 Level  38 Contact hours
Elementary Differential Equation, Wiley 10th edition by William E. Boyce & Richard C. DiPrimá. ISBN: 9780470458327.
Theory and solving techniques for constant and variable coefficient linear equations, a variety of nonlinear equations. Emphasis on those differential equations arising from realworld phenomena, particularly in Engineering applications.
1. Introduction
2. Firstorder differential equations.
3. Secondorder linear equations.
4. Higherorder differential equations.
5. Laplace transform.
6. Systems of firstorder differential equations.
If you are from UVA you will also learn (12h1CRDT):
 Modelling with differential equations
If you are from UIUC you will also learn (12h1CRDT):
 Fourier Series and The Fourier Convergence Theorem
 Boundary Value Problems and SturmLiouville Theory
Upon completion of this course, students will be able to:
• Analyze analytically and graphically firstorder differential equations.
• Analyze second differential equations with the help of characteristic polynomials. Applications to spring/mass systems.
• Apply the Laplace transform to solve differential equations with various forcing functions, including piecewise functions and impulses.
• Analytically solve systems of linear firstorder differential equations using Linear Algebra approach.
• Apply theoretical results to model some dynamic problems: Mathematical Modelling using EDOs.
Homework 20%
Midterm Exams 40%
Final Exam 40%

