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.
Intended learning outcomes
One of the most important educational outcomes that the student has acquired from this course is that he can link the various course topics, explain common topics between this course and real analysis, discuss metric spaces and Banach spaces, and prove some theories. Learn about Albert space and linear effects. Explains most of the topics related to the course. He proposes various proofs related to the proofs and employs his practical and professional skills to prove most of the theories and is able to manage and benefit from time and develop his general skills by linking the objectives of the course to public life and is able to form relationships between the subjects of school and advanced mathematics.
Teaching and learning methods
I use many teaching methods in my explanation of this course so that the students do not feel bored. The topic of the lesson as well as the level of the students is what determines my teaching method. I use the recitation method as well as the discussion and dialogue method as well as the feedback method. Sometimes I use the recitation method with asking questions that the students answer in exchange for grades. To spread the spirit of competition between them
Methods of assessments
Midterm exam, final exam, assignments, participation and activity inside the hall
