The aim of giving this course is to familiarize the student with important topics that complement what he studied in the courses Real Analysis 1 and Real Analysis 2. This course is one of the most important elective courses in the educational program. Among the general objectives of this course is for the student to compare what he studied in this course with what he studied in the two courses of Real Analysis 1 and 2 and linking them and getting acquainted with the concept of metric space and the proof of some theories on it and the concept of Banach space. To identify the linear functions and effects, to compare the Albert space and the Banach space, to prove some important theories, and to suggest some proofs to prove these theories.
