SubjectsSubjects(version: 945)
Course, academic year 2023/2024
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Methods for Solution of Mathematical Problems - NMUM307
Title: Metody řešení matematických úloh
Guaranteed by: Department of Mathematics Education (32-KDM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2023
Semester: winter
E-Credits: 2
Hours per week, examination: winter s.:0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. RNDr. Jarmila Robová, CSc.
Class: M Bc. MZV
M Bc. MZV > Povinné
Classification: Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category
Incompatibility : NMTM307, NMUM811, NUMV043
Interchangeability : NMTM307, NMUM811, NUMV043
Is incompatible with: NMUM811, NUMV043, NMTM307
Is interchangeable with: NUMV043, NMTM307, NMUM811
Annotation -
Last update: T_KDM (02.12.2014)
More difficult problems of secondary school mathematics solved by non-traditional methods.
Course completion requirements -
Last update: RNDr. Vlasta Moravcová, Ph.D. (07.10.2019)

1. Active participation in the seminar, maximum three absences are allowed. In justified cases, a higher number of absences can be replaced by the elaboration of seminar tasks.

2. Presentation of solution of one task and submission of various methods of this task solution in a written form.

3. Passing the test from high school mathematics tasks (one regular term and two resits).

Character of the credit does not allow its repetition.

Literature -
Last update: doc. RNDr. Oldřich Odvárko, DrSc. (02.12.2014)

Only in Czech:

  • Odvárko, O. a kol., Metody řešení matematických úloh, SPN, Praha 1990
  • Robová, J. a kol., Sbírka aplikačních úloh ze středoškolské matematiky, Prometheus, Praha 2014
  • Mathematical olympiad problem collections

Teaching methods -
Last update: doc. RNDr. Oldřich Odvárko, DrSc. (21.09.2020)

The seminar puts emphasis on students' independent work and discussion in terms of the adequacy and effectiveness of the methods of the problem solving. The students elaborate a project to solve given problems in several methods, the professional and methodological level of the project processing is monitored.

Syllabus -
Last update: doc. RNDr. Oldřich Odvárko, DrSc. (21.09.2020)

The more difficult task of secondary school mathematics solved non-traditional methods.

Content

1. Logic problems.

2. Proof methods.

3. Equations and inequalities (also their systems), algebraic and graphic solution.

4. Geometric problems in plane and space, synthetical and analytical solution.

5. Sequences and series

Methods

1. Didactics aspects of the problems solving in mathematics.

2. Creation of mathematical tasks and projects.

 
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