Mathematics

Logic(PH105)

Course Code Course Name Semester Theory Practice Lab Credit ECTS
PH105 Logic 1 3 0 0 3 6
Prerequisites
Admission Requirements
Language of Instruction French
Course Type Compulsory
Course Level Bachelor Degree
Course Instructor(s) Ömer AYGÜN omeraygun@gmail.com (Email)
Assistant
Objective To provide an acquirement of the vocabulary and the concepts of the propositional logic
Content Semantical analysis of the formulas of the formal language P and proofs of the theorems of the formal system PF.
Course Learning Outcomes Learning to make semantical analysis of the formulas of the formal language P and acquiring the capacity of proving the theorems of the formal system PF.
Teaching and Learning Methods Lecture
References Introduction to Logic I, Yalçın Koç ,Boğaziçi University Publications,1980.
Naive Set Theory, Paul Richard Halmos, D. Van Nostrand Company, Princeton, NJ, 1960.
Introduction to Mathematical Logic, Eliot Mendelson, D. Van Norstand Company, Princeton NJ, 1964
Sembolik Mantık, Tarık Necati Ilgıcıoğlu, Anadolu Üniversitesi Yayınları, Ankara 2013.
Introduction to Mathematical Logic, Church, A., Princeton University Press, Princeton NJ, 1956.
Introduction to Logic, Suppes, P., D. Van Norstrand Company, Princeton NJ, 1957.
Logique formelle et argumentation, Laurence Bouquiaux & Bruno Leclercq, De Boeck, Brüksel, 2009.
Print the course contents
Theory Topics
Week Weekly Contents
1 The formal language P : alphabet and grammar
2 Definitional completeness for the formal language P
3 Semantics of the formal langugage P: Boolean functions on the set T :{t, f}
4 Functional completeness of the boolean functions on T
5 Interpretation of the formal language P
6 Semantical implication and deduction meta-theorem
7 Semantical analysis of the grammatical formulas of the formal language P
8 Mid-term
9 Formal system PF
10 Deduction in the formal system PF
11 Syntactical implication
12 Deduction meta-theorem for the formal system PF
13 Consistence and completeness meta-theorems for the formal system PF
14 Absolute and simple consistency of the formal system PF
Practice Topics
Week Weekly Contents
Contribution to Overall Grade
  Number Contribution
Contribution of in-term studies to overall grade 1 40
Contribution of final exam to overall grade 1 60
Toplam 2 100
In-Term Studies
  Number Contribution
Assignments 15 15
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 15 15
Toplam 31 60
No Program Learning Outcomes Contribution
1 2 3 4 5
1 understands principles of deductive reasoning; has experience to verify well-foundedness and exactness of mathematical statements in systematic ways; X
2 can properly state and use concepts and results of major mathematical interest;
3 masters current computational techniques and algorithms; has a good ability in their use; can identify relevant tools, among those one has learned, suitable to solve a problem and is able to judge whether or not one is in possession of these tools;
4 is able to express one’s mathematical ideas in an organised way both in written and oral forms;
5 understands relations connecting substantial concepts and results; can switch from one viewpoint to another on mathematical objects (pictures, formulae, precise statements, heuristic trials, list of examples,...);
6 has followed individually a guided learning strategy; has pursued steps toward the resolution of unfamiliar problems;
7 has a theoretical and practical knowledge in computer science well adapted for learning a programming language;
8 has investigated the relevance of modeling and using mathematical tools in natural sciences and in the professional life; is conscious about historical development of mathematical notions;
9 has followed introduction to some mathematical or non-mathematical disciplines after one’s proper choice; had experience to learn selected subjects according to one’s proper arrangement;
10 masters French language as well as other foreign languages, to a level sufficient to study or work abroad. X
Activities Number Period Total Workload
Class Hours 0 42 0
Working Hours out of Class 0 15 0
Assignments 0 15 0
Presentation 0 0 0
Midterm Examinations (including preparation) 0 10 0
Project 0 0 0
Laboratory 0 0 0
Other Applications 0 0 0
Final Examinations (including preparation) 0 10 0
Quiz 0 8 0
Term Paper/ Project 0 0 0
Portfolio Study 0 0 0
Reports 0 0 0
Learning Diary 0 0 0
Thesis/ Project 0 0 0
Seminar 0 0 0
Other 0 0 0
Total Workload 0
Total Workload / 25 0,00
Credits ECTS 0
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