COURSE INFORMATION PACKAGE · MATH 536
Teaching Experience
Compulsory · Turkish
On this page
Content Weekly Contents Assessment System Relation of Proficiency ECTS
Course Instructor(s)
Meral TOSUN
mtosun@gsu.edu.tr
mtosun@gsu.edu.tr
Content
Objective
Teachng the history and philosophy of mathematics
Course Content
Weeks Subjects
1 Platonism
2 Picture proofs
3
4 Hilbert and Gödel
5 Knots and notation
6 What is a definition?
7 Constructive approach
8 Midterm exam
9
10 Computation, proof and
11 How to refute the
12 Calling the bluff
13
14
What is applied
mathematics?
Proofs, pictures and
procedures
conjecture
continuum hypothesis
Euler and his
contributions to
mathematics
Gauss and his
contributions to
mathematics
Course Learning Outcomes
ÖÇ 1: Having a general knowledge about the history and philosophy of
mathematics
References
W. Dunham, Journey through Genius: The Great Theorems of Mathematics,
Penguin, 1991
J. R. Brown, Philosophy of Mathematics: A Contemporary Introduction to the
World of Proofs and Pictures, Routledge, 2008
Weekly Contents
| Week | Weekly Contents |
|---|---|
| 1 | 1 Platonism |
| 2 | 2 Picture proofs |
| 3 | What is applied mathematics? |
| 4 | 4 Hilbert and Gödel |
| 5 | 5 Knots and notation |
| 6 | 6 What is a definition? |
| 7 | 7 Constructive approach |
| 8 | 8 Midterm exam |
| 9 | Proofs, pictures and procedures |
| 10 | Computation, proof and conjecture |
| 11 | How to refute the continuum hypothesis |
| 12 | Calling the bluff |
| 13 | Euler and his contributions to mathematics |
| 14 | Gauss and his contributions to mathematics |
Assessment System
| Activities | Number | Contribution |
|---|---|---|
| Contribution of in-term studies to overall grade | 2 | 40 |
| Contribution of final exam to overall grade | 1 | 60 |
| Total | 3 | 100 |
| Activities | Number | Contribution |
|---|---|---|
| Assignments | 1 | 10 |
| Presentation | 0 | 0 |
| Midterm Examinations (including preparation) | 1 | 30 |
| Project | 0 | 0 |
| Laboratory | 0 | 0 |
| Other Applications | 0 | 0 |
| Quiz | 0 | 0 |
| Term Paper/ Project | 0 | 0 |
| Portfolio Study | 0 | 0 |
| Reports | 0 | 0 |
| Learning Diary | 0 | 0 |
| Thesis/ Project | 0 | 0 |
| Seminar | 0 | 0 |
| Other | 0 | 0 |
| Total | 2 | 40 |
Relation of Proficiency
| No | Program Learning Outcomes | Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | X | |||||
| 2 | X | |||||
| 3 | X | |||||
| 4 | X | |||||
| 5 | X | |||||
| 6 | X | |||||
| 7 | X | |||||
| 8 | X | |||||
| 9 | X | |||||
| 10 | X | |||||
| 11 | X | |||||
| 12 | X | |||||
| 13 | X | |||||
| 14 | X | |||||
| 15 | X | |||||
| 16 | X | |||||
| 17 | X | |||||
ECTS
| Activities | Number | Period | Total Workload |
|---|---|---|---|
| Class Hours | 1 | 42 | 42 |
| Working Hours out of Class | 1 | 58 | 58 |
| Final Examinations (including preparation) | 1 | 25 | 25 |
| Total Workload | 125 | ||
| Total Workload / 25 | 5.00 | ||
| Credits ECTS | 5 | ||