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Preparation course for mathematics Olympiads, grade 7 - free course from Foxford, training 30 lessons, date: December 5, 2023.
Miscellaneous / / December 08, 2023
Let's study the main thing
We teach methods, principles, approaches to understand mathematics and cope with any problem
We manually check samples and homework
We do not leave the written part of tasks for self-testing - this is done by OGE experts
We check “for real”, like in an exam, and as a result you receive detailed feedback. All this is for the sake of speed of preparation and your results.
Cand. physics and mathematics Sciences, Associate Professor at ITMO, Mathematics Teacher at the Presidential Physics and Mathematics Lyceum No. 239
Candidate of Physical and Mathematical Sciences, Associate Professor at ITMO. Mathematics teacher at the Presidential Physics and Mathematics Lyceum No. 239.
Chairman of the jury of the Kangaroo game competition
Laureate of the St. Petersburg Government Prize for teacher-mentors
Author of problems for the Kangaroo competition and books, including Trisection of an Angle and Fermat's Theorem. Teaching experience: more than 15 years.
Algebra and number theory
This section discusses the idea of parity, the method of modulo comparisons, the fundamental theorem of arithmetic, the concepts of gcd and lcm, and the Euclid algorithm.
- Divisibility and modulo comparisons
- Proof of inequalities
- Text problems of increased complexity
Geometry
This section studies the basics of classical geometry: problems involving constructions with compasses and rulers, geometry of a triangle, a circle, as well as combinatorial geometry.
- Triangles and their properties
- Cutting and combinatorial geometry
- Constructions with compasses and ruler
- Combinatorial geometry
Combinatorics and logic
The section consists of topics on combinatorics: counting options, graphs, Dirichlet's principle. The solution of classical combinatorial and logical problems is considered.
- Combinatorial calculations
- Elements of graph theory
- Math games
- Weighing
Methods for solving non-standard problems
This section studies mathematical induction, the extreme principle, the method of invariants and semi-invariants.
- Dirichlet principle
- Mathematical induction
- Processes and designs
- Tasks of the "Assessment + Example" type
- The principle of extreme
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