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Course Description form
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Course Title
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English Code /No
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ARABIC code/no.
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credits
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Th.
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Pr.
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Tr.
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TCH
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Selected Topics in Real Analysis
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Math 414
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ر414
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3
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0
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0
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3
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Pre-requisites
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Math 312
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Brief contents, to be posted in university site and documents(4-5 lines):
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There are no specific contents. The topics are freely selected by lecturers to cover an advanced course in real analysis. It is then changed from one semester to another.
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Faculties and departments requiring this course (if any): Department of
Mathematics
Objectives: Prefer In points
1. Provide new topics of Real Analysis that are not covered in other courses
2. Use different resources to gather information about new topics
Contents: Prefer In points
There are no specific contents
Course Outcomes:
A- Knowledge:
(Specific facts and knowledge of concepts, theories, formula etc.)
They will acquire the knowledge of advanced notions in Real Analysis
B-Cognitive Skills:
(Thinking, problem solving )
(i) The students should be able to understand several real and abstract concepts.
(ii) After the completion of this course, they should be able to deduce and analyze the new problems.
(iii) Teaching strategies to be used to develop these cognitive skills: (a) From easy to difficult; (b) From known to unknown; (c) Several Examples and simple applications.
C- Interpersonal skills and responsibilities :
(group participation, leadership, personal responsibility , ethic and moral behavior, capacity for self directed learning)
(i) All teaching strategies should basically consist in developing communication and increasing the opportunities for the student to express oneself. This leads to favor working in group sessions guided by the teacher.
(ii) Project on some special situations (or extension ) of the concepts studied in class, which are to be given to a limited group under the supervision of the teacher. This project will be finalized for a presentation in class as a talk given by the students.
D- Analysis and communication:
(communication, mathematical and IT skills)
Ability to extract information about the subject considered, or some extension of it, from advanced texts or appropriate material proposed by the teacher. This must be taken under the supervision of the teacher.
Assessment methods for the above elements
(i) Cross questioning session on the subject matter assigned to each student.
(ii) Class discussions on the problems given to the groups of students.
(iii) Methods of assessment of students include
(a) Cross questionings and class discussions;
(b) Simple unseen problems in quizzes;
(c) mid term exams, home assignments, and final exam.
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