Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
6MATH304HISTORY OF MATHEMATICAL CONCEPTS II3+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 The Renaissance. Cardano. Solution of qubic equation. Complex numbers. Invention of logarithms. Fermat and Descartes. Analytic geometry. Number theory. Probability. The limit concept. Newton and Leibnitz. The Principia. Probability and infinite series. Development of calculus. Age of Euler. D’Alembert. Lagrange. Monge. Laplace. Gauss and Cauchy. Noneuclidean geometry. Lobachevskiy. Abel, Jacobi, Galois. Projective geometry. Riemannian geometry. Felix Klein. Analysis. Riemann. Mathematical physics. British Algebra. Algebraic geometry. Poincare and Hilbert. Topology. Aspect of Twentieth Century.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Associate Prof.Dr. GAMZE TANOĞLU
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, Second Edition, 1991.
D.M. Burton, The History of Mathematics (An introduction) , Wbm.C.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 84 84
Exams and Exam Preparations 1 32 32
Total Work Load   Number of ECTS Credits 5 158

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 have knowledge about history of Mathematics.
2 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 The Renaissance. Cardano. Solution of qubic equation. Complex numbers.
2 Prelude to Modern Mathematics. Viete. Invention of logarithms.
3 The time of Fermat and Descartes. Analytic geometry. Number theory. Probability.
4 A transitional period. The limit concept.
5 Newton and Leibnitz. The Prinzipia. The differential calculus.
6 The Bernoulli Era. Probability and infinite series. Development of calculus.
7 The Age of Euler. D’Alembert.
8 Mathematics of the French Revolution. Lagrange. Monge. Laplace.
9 Gauss and Cauchy. Noneuclidean geometry. Lobachevskiy. Abel, Jacobi, Galois.
10 Projective geometry. Riemannian geometry. Felix Klein.
11 Analysis. Riemann. Mathematical physics. Weierstrass. Cantor. Dedekind.
12 British Algebra. Boole. Hamilton. Cayley. Grassmann. Algebraic geometry.
13 Poincare and Hilbert. Topology. Aspect of Twentieth Century.
14 Poincare and Hilbert. Topology. Aspect of Twentieth Century.
15 Final 1st week
16 Final 2nd week


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=163252&lang=en