College of Education - Zulfi
Institution:
Academic Department : Department of Mathematics
Mathematics Undergraduate Program
Program :
Real Analysis (2) - Math 482
Course :
Dr. Nadia Ali Soultan
Course Coordinator :
Dr. Nadia Ali Soultan (Head of the Department)
Program Coordinator :
Course Specification Approved Date : 06/ 07 / 1435 H
A. Course Identification and General Information
1. 1- Course title : Real Analysis (2)
Course Code: Math 482
2- Credit hours : 4 hours weekly (3 Theoretical + 2 Training)
3- Program(s) in which the course is offered: Math. Program
Arabic
4- Course Language :
Dr. Nadia Ali Soultan
2. 5- Name of faculty member responsible for the course:
3. 6- Level/year at which this course is offered : Seventh Level
7- Pre-requisites for this course (if any) :
 Real Analysis (1) - Math 381
8- Co-requisites for this course (if any) :
 There is no
9- Location if not on main campus :
 Not applied
10- Mode of Instruction (mark all that apply)
A- Traditional classroom
B- Blended (traditional and online)
D- e-learning
E- Correspondence
F- Other
What percentage?
What percentage?
What percentage?
What percentage?
What percentage?
100 %
….. %
….. %
….. %
….. %
Comments :
 The course is available via my webpage. The model of instructor is distributed and
used two items above.
B. Objectives:
What is the main purpose for this course?
 The ability of understanding different definitions and theorems related to Riemann
integration .
 Develop the skills of the student to study the point congruence and the normal
convergence.
 Develop the skills of the student to study algebra and sigma algebra .
 Training the student to study measurable sets , Lebesgue measure and its
properties.
 Studying of simple functions and measurable functions.
 Studying of Lebesgue Integration, convergence Theorems , the relationship
between the Riemann integration and Lebesgue integration.
Briefly describe any plans for developing and improving the course that are
being implemented :
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 Directing students to search in the Internet.
 Directing students to do researches for some topics associated with this course .
C. Course Description
1. Topics to be Covered:
List of Topics
No. of
Weeks
Contact
Hours
3
15
4
20
4
20
4
20
Riemann integration.
Sequences and series of functions.
Lebesgue measure
Lebesgue integration.
2. Course components (total contact hours and credits per semester):
Lecture
Tutorial Laboratory Practical
Other
Total
Contact
Hours
75 h
45 h
............
30 h
............
75 h
Credit
60 h
45 h
............
15 h
............
60 h
3. Additional private study/learning hours expected for students per
week:
Home works, learning papers, self-learning and others.
3 hours
4. Course Learning Outcomes in NQF Domains of Learning and
Alignment with Assessment Methods and Teaching Strategy:
NQF Learning Domains
And Course Learning Outcomes
1.0 Knowledge
1.1 Understand the basic concepts of Reimann
integration and Darbue theorem – the main
theorem in calculus
1.2 Study the sequences and series of functions –
point convergence and normal convergence algebra and sigma algebra
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Course
Teaching
Strategies
Course
Assessment
Methods
Academic
lectures .
Research and
Investigation.
Discussion
and
Written tests
.
Work papers
.
Oral tests .
Solving
Course
Teaching
Strategies
NQF Learning Domains
And Course Learning Outcomes
1.3 Study of limited adddition property and countable Conversation .
addition
Homework.
1.4 Study the basic extension theorems – external
measure – measurable sets .
1.5 Understand
Lebesgue measure and its
property - Lebesgue integration – the relation
between Reimann integration and Lebesgue
integration
2.0 Cognitive Skills
2.1 Distinguish between mathematical concepts.
Collaborative
learning .
2.2 Induce mathematical equations.
Self-learning.
Research .
3.0 Interpersonal Skills & Responsibility
3.1 Contact her class mates.
group
studying
3.2 Objective criticism.
papers .
Workshops
4.0 Communication, Information Technology, Numerical
Training in
4.1 How to Induce mathematical equations.
4.2 Understanding of mathematical concepts.
5.0 Psychomotor
5.1 Not applied.
Course
Assessment
Methods
Homework
Written tests.
Oral test.
Evaluate
Researches .
Evaluate the
group works
and
individual
works .
Lectures and
Learning by
model
Evaluating
Homeworks.
Evaluating
Researches
Not applied
Not applied
5. Schedule of Assessment Tasks for Students During the Semester:
Week Due
Proportion
of Total
Assessment
The sixth week
20%
Assessment task
1 Test of term duties (midterm).
4
Participation during the lecture (evaluate the effort)
and giving exercises.
5 The final Exam.
D. Student Academic Counseling and Support:
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During the
semester
End of the
semester
20%
60%
4 lectures ( office hours) weekly .
E. Learning Resources:
1. List Required Textbooks :
 Principles of Real Analysis (Part I and II), Dr. Mohammed Abdel Rahman AlGwaiz, Dr.
Salih Abdullah AlSanousi and Dr. Mahmoud Ahmed Atwa, Hlla Printers , 1419 .
2. List Essential References Materials :
 Principles of Real Analysis, Mahmoud Mohammed Kutkut, Dar AlMarikh, 1410 /1990 .
 Real Analysis, H. L. Royden, 3rd edition , Macmillan Publishing Co. , Inc. New York,
1988.
3. List Recommended Textbooks and Reference Material :
 There is no.
4. List Electronic Materials :
 http://www.mathramz.com/xyz/index.php.
 http://math.niu.edu.
 http://ntnu.no/conservation.
5. Other learning material :
 There is no.
F. Facilities Required:
1. Accommodation
 Hall (5 m x 7 m), 53 Chairs.
2. Computing resources
 There is no.
3. Other resources
 Not applied.
G. Course Evaluation and Improvement Processes:
1. Strategies for Obtaining Student Feedback on Effectiveness of Teaching:
 Ask questions during lectures.
 Course evaluation questionnaire .
 Students acceptance questionnaire about teaching , learning and improving techniques.
 Good and weak students meeting .
2. Other Strategies for Evaluation of Teaching by the Program/Department
Instructor :
 Course evaluation model.
 Annual reports sufficiently prepared by the head of department.
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3. Processes for Improvement of Teaching :
 Application of modern technologies in the education.
 Application of e-learning.
 Programs and trainings to improve the skills of teaching and learning .
4. Processes for Verifying Standards of Student Achievement
 Review papers that have been checked by the member .
 External evaluator.
5. Describe the planning arrangements for periodically reviewing course
effectiveness and planning for improvement :
 The periodic meeting of the department members to identify strengths and weaknesses
to be reinforced and addressed .
 Evaluate the course.
 Review learning plans.
 Viewing and knowledge in all new about the course ..
Course Specification Approved
Department Official Meeting No ( 8 ) Date 12/5/1435 H
Course’s Coordinator
Dr. Nadia Ali Soultan
Name :
Signature :
Nadia Soultan
25/12/ 1435 H
Date :
Page 6 Of 6
Department Head
Dr. Nadia Ali Soultan
Name :
Signature :
Nadia Soultan
25/12/ 1435 H
Date :