Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
5MATH303HISTORY OF MATHEMATICAL CONCEPTS I3+036

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Elective
Objectives of the Course 1 .to teach the development of mathematics from Egyptians to nowadays.
2. to teach the mathematicians who had important roles in the history of mathematics.
3. to provide an adequate explanation of how mathematics came to occupy its position as a primary cultured force in civilization.
Course Content Origins of number and geometry. Egypt and Mesopotamia. Ionia and Pithagoreans. The Heroic Age. Paradoxes of Zeno. The Age of Plato and Aristotle. Euclid of Alexandria. Elements. Archimedes. Apollonius of Perga. The Conics. The Arithmetical of Diophantus. China and India. Ramanujan. Algebra and arabs. Europe in the Middle Ages. Solution of a qubic equation.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Prof.Dr. YILMAZ AKYILDIZ
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources C.B. Boyer, U.C. Merzbach, I. Asimov, A History of Mathematics , John Wiley & Sons, 2nd Edition, 1991
D.M. Burton, The History of Mathematics (An introduction), Brown Publishers, 1988

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 0 % 0
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 1 % 50
Final examination 1 % 50
Total
2
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 1 42 42
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 1 76 76
Exams and Exam Preparations 1 32 32
Total Work Load   Number of ECTS Credits 5 150

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 To have knowledge about history of Mathematics.
2 To recognize the distinction between formal and intuitive mathematics.
3 To obtain information on the nature and historical development of mathematics.
4 To explain contributions of mathematics to science, technology and society.


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Origins. The origin of counting and concept of number. Origin of geometry. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
2 Egypt. Arithmetic operations, Algebraic and geometric problems. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
3 Mesopotamia. Geometry as applied arithmetic. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
4 Ionia and the Pythagoreans. Number mysticism. Arithmetic and cosmology. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
5 The Heroic Age. The famous problems. The golden section. Paradoxes of Zeno. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
6 The Age of Plato and Aristotle. Platonic solids. Mathematical astronomy. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
7 Euclid of Alexandria. Elements. Geometric algebra. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
8 Archimedes of Syracuse. Geometry and the Method A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
9 Apollonius of Perga. The Conics. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
10 Greek Trigonometry and Mensuration. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
11 Revival and Decline of Greek Mathematics. The Arithmetica of Diophantus. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
12 China and India. Ramanujan. Arabs and Algebra. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
13 Europe in the Middle Ages. Solution of a qubic equation. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
14 Europe in the Middle Ages. Solution of a qubic equation. A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
15 Final 1st week A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991
16 Final 2nd week A History of Mathematics, by C.B. Boyer, U.C. Merzbach, I. Asimov, John Wiley & Sons, Second Edition, 1991


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
C1 3 3 4
C2 3 4 3 3
C3 3 3 3 4
C4 3 3 3 3

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


https://obs.iyte.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=163240&lang=en