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(in Polish) Discrete Mathematics

General data

Course ID: 420-IS1-1MDY-ENG
Erasmus code / ISCED: 11.101 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0541) Mathematics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title: (unknown)
Name in Polish: Discrete Mathematics
Organizational unit: Institute of Computer Science
Course groups:
ECTS credit allocation (and other scores): 5.00 Basic information on ECTS credits allocation principles:
  • the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS;
  • the student’s weekly hourly workload is 45 h;
  • 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes;
  • weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS;
  • work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.

view allocation of credits
Language: English
Type of course:

obligatory courses

Requirements:

Elements of Logic and Set Theory 420-IS1-1PLTM
Linear Algebra with Analytic Geometry 420-IS1-1ALG
Mathematical Analysis 1 420-IS1-1AM1

Prerequisites:

Elements of Logic and Set Theory 420-IS1-1PLTM
Linear Algebra with Analytic Geometry 420-IS1-1ALG
Mathematical Analysis 1 420-IS1-1AM1

Mode:

(in Polish) w sali

Short description:

Course objectives: To learn basic methods and tools of combinatorics, graph theory, and number theory and how one can use them in solving of computational problems.

Full description:

Course profile: General Academic

Form of study: Full-time studies

Course type: Basic

Field of science: natural sciences,

Discipline of science: computer science

Year/semester of study: 1 / 2

Prerequisites (sequential system of courses and exams): Items introducing: Elements of Logic and Set Theory, Linear Algebra with Analytic Geometry, Mathematical Analysis 1,

ECTS credits: 5

Balance of student workload:

Class attendance:

- lecture 30h

- exercise classes 30h

Course preparation:

- lecture 5h

- exercise classes 20h

Literature familiarization: 10h

Preparation for tests: 20h

Preparation for the exam: 20h

Test duration: 2h

Exam duration: 2h

The total number of hours of exams and tests: 4h

Individual consultation with the teacher: 2h

Student workload:

- that requires direct interaction with the teacher: 66h, 2 ECTS

- that does not require direct interaction with the teacher: 75h, 3 ECTS

Bibliography:

Kenneth H. Rosen, Handbook of discrete and combinatorial mathematics (Discrete mathematics and its applications - 1st Edition), CRC Press.

Ralph P. Grimaldi, Discrete and combinatorial mathematics: An applied introduction, 2nd Edition.

Kenneth A. Ross, Charles R.B. Wright, Discrete mathematics, 5th Edition

Learning outcomes:

Learning outcomes:

The student knows mathematical tools necessary to construct and analyse algorithms. KP6_WG3

The student knows basic notions of combinatorics, graph theory, and number theory. KP6_WG1

The student can use the concepts and properties of functions, sequences and series to solve simple problems of a recursive nature. KA6_UW2

The students can apply combinatorics, recurrence, and mathematical induction to solve simple computational problems. KP6_UW4

The student can apply the breath-first search method to searching of the shortest path in a weighed graph. KP6_UW6

The student is able to independently implement an algorithm using the selected programming language KA6_UW8

The student understands the need of continual learning. KP6_UU1

Assessment methods and assessment criteria:

Form of assessment: class tests and the final exam (written or oral).

Classes in period "Academic year 2022/2023" (past)

Time span: 2022-10-01 - 2023-06-30
Selected timetable range:
Navigate to timetable
Type of class:
Class, 30 hours more information
Lecture, 30 hours more information
Coordinators: Karol Pąk
Group instructors: (unknown)
Students list: (inaccessible to you)
Examination: Course - Examination
Class - Grading
Course descriptions are protected by copyright.
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