Mathematics BSc

Course description

2013.

Course description

2013.

Elementary mathematics 1

Hours lect+pc |
Credits lect+pc |
Assessment | Specialization | Course code lect/pc |
Semester | Status |
---|---|---|---|---|---|---|

0 + 2 | 0 + 3 | term grade | all | mm1c2em1 | 1 | compulsory |

Course coordinator

Remarks

- Requirements: Two midterm tests, homeworks. The students also have to hand in the detailed soultion of a problem from the mathematical journal for secondary school students, KöMaL.

Syllabus designed by:

Prerequisites

High school mathematics.

Course objectives

Acquiring knowledge in problem solving based on
secondary (middle) school curriculum and developing mathematical
thinking skills. We discuss problems from national and international
mathematical competitions: e.g., International Mathematical
Olympiad, Putnam Mathematical Competition, All-Soviet-Union
Mathematical Competition, etc.

Literature

- György Pólya: How to solve it, A new aspect of mathematical method. Princeton University Press, 1945.
- György Pólya: Mathematical Discovery. On understanding, Learning, and Teaching Problem Solving. John Wiley and Sons, 1962.

Syllabus

In accordance with the Hungarian tradition of
mathematical education, which is based on problem solving, the basic
topics of secondary school mathematics (such as logic, number sets,
functions, arithmetic and number theory, algebra, geometry,
probability theory, statistics) are studied through solving
problems. Several sorts of problem solving methods are discussed,
analyzed, practiced and compared.