This is most recent syllabus. Your final syllabus will be given during your first day of class
This course is an introduction to ordinary differential equations and their applications in science, engineering, society, and even in romantic relationships and criminal investigation. Computer Algebra Software (CAS) such Reduce and Maple will be used. The course will cover the basics of differential equation theory, including definition, classification, and general solution. Particular types of equations such as linear equations with constant coefficients will be studied in detail, and the Laplace transform will also be introduced. Once the students have grasped the theory, many examples will be shown where ordinary differential equations can be applied.
Computer Projects: Department of Mathematics and Informatics
Students will visit the Computer Lab located at the Department of Mathematics and Informatics of the Università degli Studi di Perugia, an Academic partner of the Umbra Institute. They will learn the basics of Computer Algebra Software such as Reduce and Maple, and, consequently, they will be assigned a Reduce and Maple project. Additional visits may be planned depending on need.
By the end of the course, students will be able to:
- Identify differential equations and their features;
- Appreciate their use as mathematical models;
- Solve basic differential equations;
- Have a basic knowledge of a Computer Algebra Software;
- Model simple problems by means of differential equations.
- Textbook: D.G. Zill, A First Course in Differential Equations with Modeling Applications, 10th Ed., Brooks/Cole, 2013.
- Additional Course materials will be distributed by the professor.