This course aims to enable the student to solve partial
differential equations in general. And learn about the methods of applying
partial differential equations in some physical phenomena. It shows a student
how to solve some defective integrals using Gamma and Beta functions, and also
to solve other special functions, such as the Bissell equation, Legendre, and
Laguerre equations. The student should be familiar with how to find the
magnitude of some limits for different types of functions and in different
ways. The use of tests for some types of series in terms of convergence and
divergence. The ability to formulate functions as series using Taylor and
Maclaurin formulas.
Intended learning outcomes
After passing this course, the student will be able to solve
the problems of differential equations in the specified time period and can
apply partial differential equations to some physical phenomena in various
ways, with the ability to use the appropriate general solution for each of the
special differential equations (Bessel, Legendre, Laguerre or others). As well
as formulating functions in the form of series for use in various physical and
engineering applications.
Teaching and learning methods
This course
is taught through lectures in the classroom and using a blackboard and writing
pens on it. It can also be taught using advanced modern methods in distance
education (electronic). Interspersed with training hours in solving various
problems for all studied topics and with the participation of students in
solving them in the first place.
Methods of assessments
1- A small test with two questions - the fourth week ̷ the fifth - 2%2- Its aim is for the student to review the material before taking the midterm exam3- The first midterm exam - the sixth ̷ seventh week - 17%4- A small test with two questions - the ninth week - 2%5- The second midterm exam - the tenth / eleventh week - 17%6- Attendance and participation - throughout the semester - 2%7- Final exam - end of semester - 60%