Faculty of Education - Zulfi
Institution:
Academic Department : Mathematics
Mathematics Undergraduate Program
Program :
The Foundations of Mathematics - Math 131
Course :
Norah Ahmed Al- Dafes
Course Coordinator :
Dr. Nadia Ali Soultan (Head of the Department)
Program Coordinator :
Course Specification Approved Date : 12/5/1435 H
A. Course Identification and General Information
1. 1- Course title : The Foundations of Mathematics
Course Code: Math 131
2- Credit hours : 3 hours weekly (2 Theoretical + 2 Training)
3- Program(s) in which the course is offered: Math. Program
Arabic
4- Course Language :
Norah Al- Dafes
2. 5- Name of faculty member responsible for the course:
3. 6- Level/year at which this course is offered : Second Level
7- Pre-requisites for this course (if any) :
 There is no
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 :
 ...................................................................
B. Objectives:
What is the main purpose for this course?
1- The ability to formulate sentences mathematics.
2- Understand the principles of mathematical logic.
3- The ability to understand the methods of proof and how to choose the most suitable
one when solving mathematical problems.
4- Knowledge of applications(functions) - their types and properties.
5- Understand the basic concepts in algebra.
Briefly describe any plans for developing and improving the course that are
being implemented :
1- Directing students to search in the Internet.
2- Directing students to do researches for some topics associated with this course.
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C. Course Description
1. Topics to be Covered
No. of
Weeks
Contact
Hours
Principles of mathematical logic - Methods of proof - mathematical
induction.
Sets - operations onsets .
2
8
2
8
Cartesian product on Sets - The binary relations – Partitioning of Sets Equivalence classes.
Applications(functions) and the Equivalence Sets – Finite Sets Countable Sets - The main numbers.
Homomorphisms - Group: Definitions and examples - Rings and fields:
Definitions and examples.
Polynomials - Partial fractions.
3
12
3
12
3
12
2
8
List of Topics
2. Course components (total contact hours and credits per semester):
Lecture
Tutorial Laboratory Practical
Other
Total
Contact
Hours
60 h
30 h
............
30 h
............
60 h
Credit
45 h
30 h
............
15 h
............
45 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
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Course Teaching
Strategies
Course
Assessment
Methods
NQF Learning Domains
And Course Learning Outcomes
Course Teaching
Strategies
1.1 Knowledge of the principles of mathematical logic. Academic
1.2 Interested on understanding methods of proof and lectures .
how to use them .
Research and
1.3 Understand Sets and operations on them.
Investigation .
1.4 Understand the concept (Relations)and study how Discussion and
to create them and find them.
Conversation .
1.5 Distinguish between the types of applications
Homework.
(functions).
1.6 Understand the concept (the Main Number) and the
1.7
Course
Assessment
Methods
Written tests
.
Work papers .
Oral tests .
Solving
Homework
equivalence Sets.
Understanding the concepts ( Homomorphism,
Groups and Rings ).
2.0 Cognitive Skills
2.1 Distinguish between mathematical concepts.
2.2 Induce mathematical equations.
Collaborative
learning .
Self-learning.
Research .
Written tests.
Oral test.
Evaluate
Researches .
3.0 Interpersonal Skills & Responsibility
3.1 Contact her class mates.
5.0
group studying Evaluate the
papers .
group works
Objective criticism.
Workshops
and
individual
works .
Communication, Information Technology, Numerical
How to Induce mathematical equations.
Training in
Evaluating
Lectures and
Homeworks.
Understanding of mathematical concepts.
Learning by
Evaluating
model
Researches
Psychomotor
5.1
not applied
3.2
4.0
4.1
4.2
not applied
not applied
5. Schedule of Assessment Tasks for Students During the Semester:
Assessment task
1 Test of term duties (midterm).
2 Participation during the lecture (evaluate the effort)
and giving exercises.
3 The final Exam.
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Week Due
Proportion of
Total Assessment
The sixth week
20%
During the
semester
End of the
semester
20%
60%
D. Student Academic Counseling and Support:
Four lectures (office hours) weekly.
E. Learning Resources:
1. List Required Textbooks :
 Foundations of Mathematics, Maroof Samhan and Fadwa Abu Marifa, Dar AlKhuraiji for
Publication and Distribution, 2nd Edition, 2006.
2. List Essential References Materials :
 Discrete Mathematics, Maroof Samhan and Ahmed Shrari, Al Khuraiji Prints , 2005.
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. Norah Ahmed al-Dafes
Name :
Signature :
Norah al-Dafes
25/12/ 1435 H
Date :
Page 6 Of 6
Department Head
Dr. Nadia Ali Soultan
Name :
Signature :
Nadia Soultan
25/12/ 1435 H
Date :