Elementary mathematics 2

Mathematics BSc
Course description
2013.

Eötvös Loránd University
Faculty of Science
Institute of Mathematics

All courses
Core courses
- Algebra, number theory
- Analysis
- Geometry
  - Geometry 1
- Discrete mathematics
  - Discrete mathematics 1
  - Discrete mathematics 2
- Elementary mathematics
  - Elementary mathematics 1
- Informatics
  - Prog. fundamentals
Pure mathematics
- Algebra, number theory
- Analysis
  - Analysis 3
  - Analysis 4
  - Applied analysis
    - Numerical analysis
    - Appl. anal. comp.
  - Differential equations
    - Differential equations
    - Partial diff. equations
  - Topology
    - Introduction
    - Algebraic topology
  - Complex analysis
  - Functional analysis
  - Function series
- Geometry
- Operations research
  - Operations research 1
  - Operations research 2
- Probability theory
- Informatics
- Computer science
- Foundations of math.
  - Set theory
  - Mathematical logic
Applied mathematics
- Analysis
  - Analysis 3
  - Analysis 4
  - Analysis 5
  - Applied analysis
  - Differential equations
    - Differential equations
    - Partial diff. equations
  - Complex analysis
  - Functional analysis
- Geometry
- Operations research
  - Operations research 1
  - Operations research 2
- Probability theory
- Applied modules
- Informatics
- Algorithms
- Algebra
- Elementary mathematics
  - Elementary mathematics 2
  - Elementary mathematics 3
- Foundations of math.
BSc: general information
Studies

Hours lect+pc	Credits lect+pc	Assessment	Specialization	Course code lect/pc	Semester	Status
0 + 2	0 + 2	term grade	applied math.	mm1c2em4t	4	recommended

Course coordinator

Strong	Weak	Prerequisites
Practice class
		Strong: Algebra1L (mm1c1al1)
		Weak: Analysis2P (mm1c2an2) or Foundations of analysisP (mm1c2ap2)

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:

Gabriella Ambrus, Mathematics Teaching and Education Centre, Institute of Mathematics.

Prerequisites

Arithmetic, algebra, elementary number theory, elements of mathematical analysis. Number theory 1 (mm1c1se1) is recommended.

Course objectives

In accordance with the Hungarian tradition of mathematical education, which is based on problem solving, for the prototypes of problems of most topics occurring in primary and secondary school mathematics, the elaboration of problem solving strategies (initiating problem solving, developing and deepening) is done. While doing so the reflected application of knowledge from university studies is emphasized. Besides the usual generalization strategy, further variations of the problems are also included.

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.
Mathematical and Physical Journal for Secondary Schools

Syllabus

Solving problems from arithmetic, algebra, elementary number theory, mathematical analysis.

↻