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(MATH) Differential Equations

3 Credits | 200 Level | 38 Contact hours

A First Course in Differential Equations with Modeling Applications, 10th edition by Dennis G. Zill.

Theory and solving techniques for: constant and variable coefficient linear equations, a variety of non-linear equations. Emphasis on those differential equations arising from real-world phenomena.

1. Introduction
2. First order differential equations
3. Modelling with first-order differential equations
4. Higher order linear equations
5. Modelling with higher-order differential equations s
6. Systems of 1st order differential equations
7. Laplace transform

• 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.

HOMEWORK (25 %)
Midterm Exams (50%)
FINAL EXAM (25%)
The exams will be problem oriented A scientific calculator is required for exams.
Attending class is MANDATORY in this course