Information Package / Course Catalogue
Proportional Logic
Course Code: MAT213
Course Type: Area Elective
Couse Group: First Cycle (Bachelor's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 0
Credit: 2
Lab: 0
ECTS: 2
Objectives of the Course

To assist learners to make deductions of cause and effect relations.

Course Content

Motivation, syntax, propositional variables, connectives, sentences. Valuations, logical consequence, logical equivalence, truth tables, satisfiability, Beth Trees. The Disjunctive Normal Form Theorem, expressibility, adequate sets of connectives. The Interpolation Theorem. Rules of proof, formal proofs, the Correctness Theorem. Consistency, the Completeness and Compactness Theorems.

Name of Lecturer(s)
Learning Outcomes
1.To be able to gain knowledge about propositions.
2.To be able to comprehend the theorems of accuracy, coherency, and incoherency
3.To be able to gain the skill of interpreting some interrelations among these concepts
4.To be able to use mathematical concepts in solving certain types of problems
5.To be able to develop analytical skills and apply to problems
Recommended or Required Reading
1.H.B.Enderton, A Mathematical Introduction to Logic (second edition), Academic Press ISBN 0122384520, 2001.
2.E.Mendelson, Introduction to Mathematical Logic , Wadsworth&Brooks, ISBN 0534066240, 1997.
3.E.J.Lemmon, Beginning Logic, Van Nostrand Reinhold (UK), ISBN 0442306768, 1971.
Weekly Detailed Course Contents
Week 1 - Theoretical
Propositional logic
Week 2 - Theoretical
Formal language
Week 3 - Theoretical
Modus ponens
Week 4 - Theoretical
Interpretations
Week 5 - Theoretical
Truth tables
Week 6 - Theoretical
Truth tables
Week 7 - Theoretical
Sentences
Week 8 - Intermediate Exam
MIDTERM EXAM
Week 9 - Theoretical
Axioms
Week 10 - Theoretical
Deduction theorem
Week 11 - Theoretical
Deduction theorem
Week 12 - Theoretical
Consistency
Week 13 - Theoretical
Consistency
Week 14 - Theoretical
Completeness theorem
Week 15 - Theoretical
Completeness theorem
Week 16 - Final Exam
Final Exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Attending Lectures1%5
Assignment1%5
Midterm Examination1%30
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory280128
Assignment2024
Quiz2114
Midterm Examination1224
Final Examination18210
TOTAL WORKLOAD (hours)50
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
PÇ-14
PÇ-15
PÇ-16
PÇ-17
PÇ-18
OÇ-1
4
4
4
5
4
4
2
3
1
OÇ-2
4
4
4
4
4
1
OÇ-3
OÇ-4
OÇ-5
Adnan Menderes University - Information Package / Course Catalogue
2026