Mathematics BSc
Course description
2013.
Course description
2013.
Elementary mathematics 3
Hours lect+pc |
Credits lect+pc |
Assessment | Specialization | Course code lect/pc |
Semester | Status |
---|---|---|---|---|---|---|
0 + 2 | 0 + 2 | term grade | applied math. | mm1c2em5t | 5 | recommended |
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
Combinatorics, probability theory and mathematical
statistics, elementary geometry (synthetic and
analytic). Recommended: Discrete mathematics 2 (mm1c1vm2), Algebra 1
(mm1c1al1), Analysis 2 (mm1c1an2).
Course objectives
In accordance with the problem oriented
mathematics teaching tradition in Hungary, we process the prototype
(the problem-solving process starting, finishing and extending)
problems of all major topics of the primary and secondary school
mathematics curriculum. We compare different solutions and
methods. During problem solving, the skills acquired in high school
and in college are applied, especially when comparing different
elementary and non-elementary solutions. Besides the traditional
generalizations, we often make other variations as well.
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
Solving problems from combinatorics, probability
theory and mathematical statistics and elementary geometry
(synthetic and analytic).