In this introductory course on Ordinary Differential Equations, we first provide basic terminologies on the theory of differential equations and then proceed to methods of solving various types of ordinary differential equations. We handle first order differential equations and then second order linear differential equations. We also discuss some related concrete mathematical modeling problems, which can be handled by the methods introduced in this course.
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The lecture is self contained. However, if necessary, you may consult any introductory level text on ordinary differential equations. For example, "Elementary Differential Equations and Boundary Value Problems by W. E. Boyce and R. C. DiPrima from John Wiley & Sons" is a good source for further study on the subject.
The course is mainly delivered through video lectures. At the end of each module, there will be a quiz consisting of several problems related to the lecture of the week.
Syllabus
WEEK 1: Introduction
WEEK 2: First Order Differential Equation 1
WEEK 3: First Order Differential Equation 2
WEEK 4: Mathematical Modeling and Applications
WEEK 5: Linear Second order equations 1
WEEK 6: Linear Second order equations 2
WEEK 7: Linear Second order equations 3
WEEK 8: Linear Second order equations 4
WEEK 9: Applications of Second order equations
