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Differential Equations

3 Credits | 200 Level | 38 Contact hours


REQUIRED TEXTBOOKS AND COURSE MATERIALS

Elementary Differential Equation, Wiley 10th edition by William E. Boyce & Richard C. DiPrimá.
ISBN: 978-0-470-45832-7.

A non-programmable scientific calculator is required.



DESCRIPTION

Theory and solving techniques for constant and variable coefficient linear equations, a variety of nonlinear equations. Emphasis on those differential equations arising from real-world phenomena, particularly in Engineering applications.



OUTLINE

1. Introduction
2. First-order differential equations
3. Second-order linear equations and Modelling
4. Higher-order differential equations.
5. Laplace transform
6. Systems of first-order differential equations



STUDENT LEARNING/COURSE OUTCOMES

• Analyze analytically, graphically and numerically the first order differential equations.
• Analyze higher-order differential equations with the help of characteristic polynomials, applications to spring/mass systems.
• Analytically solve systems of linear first-order differential equations using linear algebra approaches.
• Use Laplace transform to solve differential equations with various forcing functions.



ASSESSMENT/GRADES

HOMEWORK 20 %
Midterm Exams 40%
FINAL EXAM 40%



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