Preparation course for mathematics Olympiads, grade 8 - free course from Foxford, training 30 lessons, date: December 7, 2023.
Miscellaneous / / December 09, 2023
Getting ready to win
Study at Foxford and win the Olympics
Competitive spirit
Rate yourself among the strongest in this subject
Let's study the main thing
We teach methods, principles, approaches to understand mathematics and cope with any problem
The main reason: the course is taught by Vladimir Saric
Lecturer at the Faculty of Mathematics at the Higher School of Economics.
Chairman of the regional commission of the All-Russian Secondary School for Mathematics in the Moscow region.
Winner of the Dynasty Foundation competition in the category “Mentor of Future Scientists.”
In 31 lessons we will study all the important topics for success at the Olympiads
The course program includes all the most important sections of olympiad mathematics that are not studied in school lessons: modulo comparisons, method of mathematical induction, graph theory, method of areas and other
You will be able to understand how to still solve non-standard problems
You will become familiar with new methods and ideas, the confident use of which will allow you to solve any Olympiad problems. Even non-standard tasks can be standardized.
“Forewarned is forearmed!”
We manually check samples and homework
We do not leave the written part assignments 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.
A personal curator will answer questions within two hours, 24/7
The curators understand the program and the subject, so they can easily answer your questions about the course and homework - at any time
They know well how difficult it can be to prepare and understand your worries.
The most important task of a tutor is to help you cope with stress and fear before exams
The lesson lasts 2 academic hours.
Special attention is paid to geometric problems. The course involves discussing and proposing approaches to solving problems, and teaches the use of approaches that will help you feel confident at the Mathematics Olympiad.
Algebra and number theory
The section includes the idea of parity, divisibility, the fundamental theorem of arithmetic, the concepts of GCD and LCM, modulo comparisons. A separate lesson is devoted to quadratic trinomials.
- Divisibility and comparisons modulo, Fermat's little theorem
- Proof of algebraic inequalities
- Square trinomial in Olympiad problems
- Text problems of increased complexity
Geometry
This section studies the geometry of triangle, circle, area, and cutting. A separate lesson is devoted to the basics of combinatorial geometry.
- Triangles and their properties
- Circles and their properties
- Area in olympiad problems
- Combinatorial geometry
Combinatorics and logic
The section consists of basic topics in combinatorics, such as counting options, graphs, and the Dirichlet principle. Algorithmic and text logic problems are studied.
- Elements of graph theory
- Combinatorial calculations
- Math games and strategies
- Auxiliary coloring method
- Weighings and algorithms
Universal methods for solving Olympiad problems
The section studies invariants and semi-invariants, colorings, the extreme principle, reversal, the method of invariants, periodicity.
- Method of mathematical induction
- Processes and designs
- Tasks of the "Assessment + Example" type
- The principle of extremes, the Dirichlet principle