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This course aims to provide an elementary introduction to differential equations.
We shall study the theory and solution techniques of ordinary differential equations, paying particular attention to applications of these equations in real situations whenever possible.
With increased emphasis on applications of theory in the workplace, and a heightended focus on mathematical modelling in schools, this course is both relevant and useful to a student teacher.
Material to be covered will include:
1 - Introduction to Differential Equations
2 - First-Order Differential Equations
3 - Modelling with First-Order Differential Equations
4 - Higher Order Differential Equations
5 - Modelling with Higher Order Differential Equations
Some use of simple technology (such as a graphing or computing tool) is expected to enhance the learning experience. However, these will not be tested in the exams.
Lecture notes will be provided and, together with tutorial material, they should be sufficient for the course. However, those who wish to read further or delve deeper may wish to consult the following recommended references.
Differential Equations with Boundary Value Problems
by Dennis G. Zill and Michael R. Cullen, 2009.
Fundamentals of Differential Equations and Boundary Value Problems
by Kent Nagle, Edward B. Saff and Arthur D. Snider, 2011.
Elementary Differential Equations with Boundary Value Problems
by C.H. Edwards and D.E. Penny, 2008.
Elementary Differential Equations and Boundary Value Problems
by William E. Boyce and Richard C. DiPrima, 2009.