Infopaket

Mathematical Logic and Algorithm Theory

ДВС.3.01.01

Вибіркова дисципліна для ОП

First

2023/2024

4 Semester

5

LO 4. Be able to describe and analyze discrete objects and systems, using the concepts and methods of discrete mathematics, algorithm theory and mathematical logic. LO 8. Develop discrete and continuous mathematical models.

Distance form

Know: Be able to recognize standard schemes for solving combinatorial and logical problems formulated in natural language; apply classic algorithms for checking properties and classifying objects Be able to: write formal statements, establish truth, feasibility, prove the existence of a logical consequence.

The goal of the discipline is to acquire basic knowledge of the basics of mathematical logic and the theory of algorithms, including the study of semantic models and formal languages of logic, the study of formal-axiomatic logical systems and proof search systems, the study of formal models of algorithms and algorithmically computable functions, issues of computability, decidability and insolvability of mass problems. The educational discipline " Mathematical Logic and Algorithms Theory " is a component of the educational and professional training program for specialists at the first (bachelor) level of higher education in the field of knowledge No. 11 "Mathematics and Statistics" from the specialty 113 "Applied Mathematics", educational and professional program "Applied Mathematics".This discipline is a mandatory study under the " Applied Mathematics " program. It is taught in the 4th semester of the 2nd course in the amount of 150 hours. (5 ECTS credits), in particular: lectures – 42 hours, practical classes – 32 hours, consultations – 2 hours, independent work – 74 hours. The course includes3 tests. The discipline ends with with an exam in the 4th semester.

1. Nikitchenko M.S., Shkilniak S.S. Applied logic. - K., 2008. 2. Nikitchenko M.S., Shkilniak S.S. Mathematical logic and theory of algorithms. - K., 2008. 3. Mendelson E. Introduction to mathematical logic. - M., 1976. 4. Shenfield J. Mathematical logic. - M., 1975. 5. Shkilniak S.S. Mathematical logic: examples and problems. - K., 2007.

Lectures, лабораторні роботи, independent work.

Semester assessment: 1. Test 1: LO 1.1, LO 1.2 LO 1.3 – 30 points 2. Test 2: LO 2.1 – 10 points 3. Test 3: LO 2.2 – 10 points 4. Students' work in practical classes (current evaluation) РН3.1 – 10 points Final assessment is an exam: - maximum number of points: 40 - number of points 1.- 3. - form of conduct: written.

Ukrainian