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Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Discrete Mathematics I

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG 6 Autumn DatZ1012
Subject Aim

The course aims to acquaint the students with the fundamentals of graph theory, algebra of logic (Boolean algebra) and formal system (logical calculus).

Subject Content

Basic knowledge about sets and operations with sets. Bijective correspondence between sets. Enumerable sets. Set division into classes. Correspondence, types thereof, graphs, graphics. Mappings and functions. Relations among the elements of the set. Binary relation properties. Equivalence relations, ordering relations. Definition of algebraic structure, properties and types thereof. Basic laws of Combinatorics, types of selection. Recurrent equations. Newton binomial, properties of binomial coefficients. Definition of a graph. Various types of graphs. Graphs and binary relations. Graph isomorphism. Planar graphs; duality.

Expected Results

Students become acquinted with the fundamentals of the Set Theory, with correspondencies and relationships, with algebric structures, problems of combinatorics, basics of Graph Theory. All the considered problems are supported by solution of the corresponding problems.

Requirements to gain ECTS

Fulfil of all individual tasks and tests.

Exam


All courses at the Faculty of Science and Engineering

View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Discrete Mathematics I

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG 6 Autumn DatZ1012
Subject Aim

The course aims to acquaint the students with the fundamentals of graph theory, algebra of logic (Boolean algebra) and formal system (logical calculus).

Subject Content

Basic knowledge about sets and operations with sets. Bijective correspondence between sets. Enumerable sets. Set division into classes. Correspondence, types thereof, graphs, graphics. Mappings and functions. Relations among the elements of the set. Binary relation properties. Equivalence relations, ordering relations. Definition of algebraic structure, properties and types thereof. Basic laws of Combinatorics, types of selection. Recurrent equations. Newton binomial, properties of binomial coefficients. Definition of a graph. Various types of graphs. Graphs and binary relations. Graph isomorphism. Planar graphs; duality.

Expected Results

Students become acquinted with the fundamentals of the Set Theory, with correspondencies and relationships, with algebric structures, problems of combinatorics, basics of Graph Theory. All the considered problems are supported by solution of the corresponding problems.

Requirements to gain ECTS

Fulfil of all individual tasks and tests.

Exam


All courses at the Faculty of Science and Engineering

View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Discrete Mathematics I

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG 6 Autumn DatZ1012
Subject Aim

The course aims to acquaint the students with the fundamentals of graph theory, algebra of logic (Boolean algebra) and formal system (logical calculus).

Subject Content

Basic knowledge about sets and operations with sets. Bijective correspondence between sets. Enumerable sets. Set division into classes. Correspondence, types thereof, graphs, graphics. Mappings and functions. Relations among the elements of the set. Binary relation properties. Equivalence relations, ordering relations. Definition of algebraic structure, properties and types thereof. Basic laws of Combinatorics, types of selection. Recurrent equations. Newton binomial, properties of binomial coefficients. Definition of a graph. Various types of graphs. Graphs and binary relations. Graph isomorphism. Planar graphs; duality.

Expected Results

Students become acquinted with the fundamentals of the Set Theory, with correspondencies and relationships, with algebric structures, problems of combinatorics, basics of Graph Theory. All the considered problems are supported by solution of the corresponding problems.

Requirements to gain ECTS

Fulfil of all individual tasks and tests.

Exam


All courses at the Faculty of Science and Engineering

View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Discrete Mathematics I

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG 6 Autumn DatZ1012
Subject Aim

The course aims to acquaint the students with the fundamentals of graph theory, algebra of logic (Boolean algebra) and formal system (logical calculus).

Subject Content

Basic knowledge about sets and operations with sets. Bijective correspondence between sets. Enumerable sets. Set division into classes. Correspondence, types thereof, graphs, graphics. Mappings and functions. Relations among the elements of the set. Binary relation properties. Equivalence relations, ordering relations. Definition of algebraic structure, properties and types thereof. Basic laws of Combinatorics, types of selection. Recurrent equations. Newton binomial, properties of binomial coefficients. Definition of a graph. Various types of graphs. Graphs and binary relations. Graph isomorphism. Planar graphs; duality.

Expected Results

Students become acquinted with the fundamentals of the Set Theory, with correspondencies and relationships, with algebric structures, problems of combinatorics, basics of Graph Theory. All the considered problems are supported by solution of the corresponding problems.

Requirements to gain ECTS

Fulfil of all individual tasks and tests.

Exam


All courses at the Faculty of Science and Engineering

View courses by:

Faculty Subject Area Cycle (Bachelor / Master) Semester (Autumn/Spring)

Discrete Mathematics I

Field Work language Acad. cycle ECTS credits Semester Course code
Mathematics LV ENG 6 Autumn DatZ1012
Subject Aim

The course aims to acquaint the students with the fundamentals of graph theory, algebra of logic (Boolean algebra) and formal system (logical calculus).

Subject Content

Basic knowledge about sets and operations with sets. Bijective correspondence between sets. Enumerable sets. Set division into classes. Correspondence, types thereof, graphs, graphics. Mappings and functions. Relations among the elements of the set. Binary relation properties. Equivalence relations, ordering relations. Definition of algebraic structure, properties and types thereof. Basic laws of Combinatorics, types of selection. Recurrent equations. Newton binomial, properties of binomial coefficients. Definition of a graph. Various types of graphs. Graphs and binary relations. Graph isomorphism. Planar graphs; duality.

Expected Results

Students become acquinted with the fundamentals of the Set Theory, with correspondencies and relationships, with algebric structures, problems of combinatorics, basics of Graph Theory. All the considered problems are supported by solution of the corresponding problems.

Requirements to gain ECTS

Fulfil of all individual tasks and tests.

Exam


All courses at the Faculty of Science and Engineering