Information Package / Course Catalogue
History of Modern Mathematics
Course Code: MTE529
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

The main aim of this course is to examine the emergence and development of continuity, derivative and integral concepts, starting with the emergence of the concept of limit, which is one of the main subjects of analysis, especially limit.

Course Content

It examines the development of analysis and applied mathematics starting from the 16th century. Trigonometry, sequences and series, the birth of complex numbers and their relationship with analytic and modern geometry, studies on limit, continuity, derivative and integral, and examining the bibliographies of mathematicians who did these studies are among the main topics of this course.

Name of Lecturer(s)
Lec. Müjdat AĞCAYAZI
Learning Outcomes
1.Express the historical process of Modern Mathematics.
2.Explains the emergence and development of the subjects in analysis in each century.
3.Interprets the date of e and i.
4.Examines the biographies of the great mathematicians who worked on this subject.
5.Examines the studies on the subject in the literature.
Recommended or Required Reading
1.Florian Cajori, Matematik Tarihi, ODTÜ Yayınları, 2014
Weekly Detailed Course Contents
Week 1 - Theoretical
What does the history of mathematics aim at?
Week 2 - Theoretical
Developments in France in the context of modern Mathematics history topics
Week 3 - Theoretical
Contributions and biographies of Cauchy, Darboux, Fermat, and d'Alembert to analysis and applied mathematics
Week 4 - Theoretical
Contributions and biographies of Borel, Laplace, Fourier, Poincare, Monge, and Lebesgue to analysis and applied mathematics
Week 5 - Theoretical
Developments in Germany in the context of modern Mathematics history topics
Week 6 - Theoretical
Contributions and biographies of Weierstrass, Dedekind, Leibnitz, Dirichlet and Gauss to analysis and applied mathematics
Week 7 - Theoretical
Contributions and biographies of Riemann, Lindemann, Cantor, Hilbert to analysis and applied mathematics
Week 8 - Theoretical
Developments in analysis and applied mathematics in Türkiye and biographies of Turkish mathematicians (MIDTERM EXAM)
Week 9 - Theoretical
Developments in England in the context of modern Mathematics history topics
Week 10 - Theoretical
Contributions and biographies of Newton, Barrow, Dirac, Taylor to analysis and applied mathematics
Week 11 - Theoretical
Contributions and biographies of Hardy, Littlewood, Turing to analysis and applied mathematics
Week 12 - Theoretical
Developments in other European countries
Week 13 - Theoretical
Developments in other European countries
Week 14 - Theoretical
Developments in analysis and applied mathematics in Türkiye and biographies of Turkish mathematicians
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%30
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory142370
Individual Work140456
Midterm Examination130232
Final Examination140242
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
OÇ-1
3
3
3
3
3
4
OÇ-2
3
3
3
3
3
4
OÇ-3
3
3
4
OÇ-4
3
3
3
4
OÇ-5
4
4
4
3
5
4
Adnan Menderes University - Information Package / Course Catalogue
2026