SE407E : Mathematical principles

Department

Academic Program

Type

Elective

Credits

Prerequisite

Overview

The course aims to introduce the students to counting methods, the history of numbers and numerical systems, and the principles of abstract algebra. The students acquire the principles of geometry and the skills of implementing the four basic math operations and the methods of teaching them. The course also seeks to develop students' skills in math sets and relationships, and acquaint them with methods of mathematical proof.

Intended learning outcomes

1. Explain the date of preparation.

2. Mention some concepts in abstract algebra.

3. Clarify some concepts about sets and relationships.

4. Explain the importance of proof methods in mathematics.

5. Become familiar with the principles of engineering

6. Explain the numbers in the different systems.

7. Analyse concepts in abstract algebra.

8. Connect between sets and relationships.

9. Conclude the importance of proof methods in mathematics.

10. Analyse concepts in geometry and algebra.

11. Design mathematical concepts related to the four operations commensurate with the abilities of people with disabilities.

12. Employ concepts and principles of geometry and algebra in solving problems.

13. Apply and evaluate the skills of employing data and numbers in daily life.

14. Employ the concepts of sets and relationships

15. Apply methods of mathematical proof

16. Use modern technologies in presenting lessons topics.

17. Develop the ability to distribute roles and create a cooperative team spirit.

18. Acquire oral and written communication skills.

19. Respect the opinions of others and be able to work well in a team

Teaching and learning methods

• Lectures for presentation and illustration

• Group work

• Discussion and dialogue

• Survey and research

Methods of assessments

• Midterm exam 40

• Final exam 60

Course content

By the end of the course, the students will be able to:

Week	Topic
1	Number development stages, number systems, number teaching stages
2	The four operations: meaning of addition and methods of teaching it; meaning of subtraction and methods of teaching it; meaning of multiplication and historical foundations in multiplication, methods of teaching it; meaning of division and the methods of teaching it; fractions, the meaning of fractions, its representation, types, the four operations on fractions, use of the calculator
3	Basic algebraic concepts (sets and operations, real numbers, intervals and inequalities)
4	Relationships (definition, representation, the inverse of relationship, types)
5	Binary operations on sets (based on the scale of binary operations and their properties, the set and its conditions, the domain and its conditions)
6	Midterm exam
7	Methods of mathematical proof (counterexample, indirect proof, mathematical induction)
8	Basic engineering concepts (point, ray, straight line, angle, polygon, triangle types and congruence, quadrilaterals, circle)
9	Final exam

References

Public Sports, Ramadan Sabra and others, Dar Al-Manhaj for Publishing and Distribution, Amman, Jordan, 1997.

Principles of Mathematics, Ramadan Mohamed Juhayma, Elga Valletta, Malta 2000

Principles of Mathematics for the Qualification of Teachers, Adnan Muhammad Awad, National Book House, Benghazi 2000

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