|
ABSTRACT MATHEMATICS II
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| Course Name |
Code |
Regular Semester |
ECTS Credits |
Credits |
Lecture |
2
|
| Application |
-
|
|
Abstract Mathematics II
|
0252061
|
3
|
3
|
2
|
Laboratory (Hour/Week) |
-
|
|
| Course Language |
Turkish
|
| Compulsory or Elective |
Compulsory
|
| Equipment |
Board, Overhead Projector, Projector, Notebook, CD
|
| Instructor |
Department of Mathematics
|
| Course Contents |
Cardinality, Countability, Axiom of choice, Ordered sets , Real Numbers
|
| Course Objectives |
-
To give basic mathematical background
-
To teach the methods for mathematical proof for several problems
|
Course Outcomes
(The knowledge and the skills that the student will gain at the end of the course) |
-
To be able to use mathematical knowledge in other sciences
-
To follow the current and modern developments of profession
|
| Textbook |
Several books are used as textbooks
|
| Additional References |
-
Prof. Dr. O. Ozer, Prof. Dr. D.Coker , Prof Dr. K. Tas, “ Soyut Matematik” , Bilim yayınları, 1999
-
S. Akkas, H. H. Hazisalihoğlu, Z. Ozel, A. Sabuncuoglu, “Soyut Matematik”, Gazi Üniversitesi,1984
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Several English references
|
|
| Prerequisite Courses |
Abstract Mathematics I
|
| Prerequisite Subjects |
-
|
| Homework/Project |
-
|
| Laboratory |
-
|
| Computer Applications |
-
|
| Additional Practices |
-
|
|
| Course Evaluation Criteria |
|
Number |
Effective Proportion % |
| Midterm Exams |
2
|
60
|
| Quiz |
-
|
-
|
| Homework |
-
|
-
|
| Term Projects |
-
|
-
|
| Term Papers |
-
|
-
|
| Laboratory |
-
|
-
|
| Other |
-
|
-
|
| Final Exam |
1
|
40
|
|
| Division of Course Credit (%) |
Basic Sciences |
-
% |
| Basic Engineering and Departmental Core Courses |
-
% |
| Departmental Core Courses |
100
% |
| Social Sciences |
-
% |
|
|
| WEEKLY COURSE PLAN |
| Week |
Subject |
| 1 |
Cardinality, Countability
|
| 2 |
Axiom of choice
|
| 3 |
Finite and infinite sets
|
| 4 |
Integer numbers
|
| 5 |
Rational numbers
|
| 6 |
Godel, Hilbert
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| 7 |
The constraction of real numbers, methods of Cauchy sequences
|
| 8 |
1st Midterm Exam
|
| 9 |
Method of Cantor
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| 10 |
Method of Dedekind’s cut
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| 11 |
Axiomatic definition of real numbers
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| 12 |
Applications
|
| 13 |
2nd Midterm Exam
|
| 14 |
Sequare root,absolute value and properties in real numbers
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| 15 |
Applications
|
|
|
| Prepared by |
Department of Mathematics
|
Date |
01.01.2007
|
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