MM407E : History of Mathematics

Department

Department of Mathematics

Academic Program

Bachelor in mathematics

Type

Elective

Credits

03

Prerequisite

MM206MM213MM214MM311

Overview

The course aims to introduce students to the importance of the history of mathematics, as well as an overview of historical heritage, and the importance of studying the history of mathematics. It also aims to introduce students to the Arabs and Muslims’ duty towards their historical heritage, know the evolution of mathematical science, and famous Muslim scholars in mathematics.

Intended learning outcomes

At the end of the course the students must be able to

1. Recognize the concept of science and scientists and the attitudes which scientists might have met scientists and caused their discoveries

2. Explain the evolution of ancient Roman, Arabic and Indian numbers

3. Show the virtue of Arab in the field of algebra, computation, engineering, trigonometry and fractional triangles.

4. Enumerate the points of Euclid’s geometry.

5. Discover situations that led to some mathematicians' discoveries.

6. Explain and analyze the development of numbers in ancient civilizations

7. Evaluate and conclude the scientific production of the Arabs in algebra, engineering and triangle calculation.

8. Compare between traditional and non-traditional modern engineering.

9. Provide a written explanation of the development of numbers in ancient civilizations.

10. Apply some old methods of operations that were performed on numbers.

11. Use scientific research methods to prove the virtue of the Arabs in the field of arithmetic, algebra, geometry and trigonometry.

12. Give solutions to new, different and multiple problems in traditional and non-traditional engineering.

Teaching and learning methods

1. Theoretical lecturing

2. Discussion and dialogue

3. Brainstorming

4. The use of mathematical proof methods

5. Exercises, trainings and solving multifaceted issues

Methods of assessments

1. Written exam 25 marks or its assessment is left to the lecturer.

2. Short tests (written or oral) demonstration tasks, exercises and presentation = 15 marks or the assessment is left to the instructor.

3. Written final exam= 60 marks

Course contents:

Week	Scientific title	Number of hours	Lecture	Exercises
1	Understanding the concept of science and scientists	3	Ö	Ö
2	Situations which scientists have met and were the reason for their discoveries.	3	Ö	Ö
3-4	The development of Roman numerals	6	Ö	Ö
5	First midterm exam
5-6	The development of Arabic numbers	4	Ö	Ö
7	The development of ancient Indian numbers.	3	Ö	Ö
8	The virtue of the Arabs in the field of algebra and arithmetic	3	Ö	Ö
9	The virtue of the Arabs in the field of engineering	3	Ö	Ö
10	Second midterm exam
10-11	The virtue of the Arabs in the field of trigonometry and fractional triangles	4	Ö	Ö
12	The virtue of the Arabs in the field of trigonometry.	3	Ö	Ö
13	Insights’ on Euclid’s geometry	3	Ö	Ö
14	The development of mathematics from the sixteen century to the twentieth century	3	Ö	Ö
15-16	Final exam
	Total	42

References:

Title	Publisher	edition	author
The intermediate encyclopedia in the History of Arabic and Islamic Mathematics	National Research and Development Library	2	Dr. Ali Bin Al Ashhar
The History of Basic Sciences in the Arab-Islamic Civilization	National Research and Development Authority.	3	Dr. Ali Bin Al Ashhar

Arabic language 1 (AR103)
Linear Algebra 1 (MM105)
Planar and Analytical Geometry (MM103)
Quranic Studies 1 (AR101)
computer 1 (CS100)
General Mathematics 1 (MM101)
General English1 (EN100)
Fundamentals of Education (EPSY101)
General Psychology (EPSY 100)
Introduction to Statistics (ST101)
Quranic studies2 (AR102)
Aerospace Engineering (MM114)
General Mathematics 2 (MM102)
Linear Algebra (2) (MM215)
Developmental Psychology (EPSY 203)
General Teaching Methods (EPSY 201)
General English2 (EN101)
Computer 2 (CS101)
Introduction to the science of Probabilities (ST102)
Arabic language 2 (AR104)
Basics Of Curriculums (EPSY 202)
Mathematical Logic (MM317)
Educational Psychology (EPSY 200)
Arabic language 3 (AR105)
Ordinary Differential Equations 1 (MM202)
Static (MM206)
General Mathematics3 (MM211)
Ordinary Differential Equations 2 (MM311)
Vector analysis (MM214)
Mathematical statistics (ST202)
Set Theory (MM213)
Arabic language 4 (AR106)
Research Methods (EPSY301)
Measurements and Evaluation (EPSY 302)
Methods of teaching mathematics (MM208)
Teaching learning Aids (EPSY 303)
Word processing (CS 202)
Psychological Health (EPSY 401)
School mathematics 1 (MM309)
Complex Analysis 1 (MM305)
Real Analysis 1 (MM303)
Dynamics (MM207)
Abstract Algebra 1 (MM302)
Complex Analysis 2 (MM306)
School mathematics2 (MM310)
Real Analysis 2 (MM304)
Abstract Algebra 2 (MM403)
Numerical Analysis (MM308)
measurement theory (MM410E)
Integral equations (MM409E)
Operations Research (MM408E)
History of Mathematics (MM407E)
Functional Analysis (MM406E)
linear programming (MM405E)
Partial Differential Equations (MM401)
Teaching applications (MM400)
Graduation project (MM404)
Teaching Practice (EPSY 402)