IRINA KISELEVA
LEARN LEARN LIVE
PRE-UNIVERSITY TRAINING
Differentiated offset
Topics to be reviewed for a differentiated test in mathematics and computer science
للاختبار المتمايز في الرياضيات وعلوم وعلوم
Topics to be reviewed for a differentiated test in mathematics and computer science
Sujets à revoir pour une épreuve différenciée en mathématiques et informatique
गणित और कंप्यूटर विज्ञान में परीक्षण के लिए समीक्षा किए वाले विषय
موضوعات مورد بررسی برای آزمون افتراقی در ریاضیات و علوم کامپیوتر
Tests
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مواد العرض قبل إجراء الاختبار. .
Watch the presentation material before taking the quiz. Sign up for the service and bookmark the page for quick access.
Regardez le matériel de presentation avant de repondre au quiz. Inscrivez-vous au service et marquez la page pour un accès rapide.
قبل از شرکت در مسابقه، مطالب ارائه را تماشا کنید. برای این سرویس ثبت نام کنید و صفحه را برای دسترسی سریع نشانه گذاری دکنن
Cribs (reading in Russian)
Maths
Lecture
lecture
conference
محاضرة
photographic materials
photographic materials
materiaux photographiques
مواد التصوير الفوتوغرافي
SECTION 1. ELEMENTS OF GEOMETRY AND VECTOR ALGEBRA
Report
SECTION 2. ALGEBRAIC EXPRESSIONS AND THEIR TRANSFORMATIONS
Report
SECTION 3. ALGEBRAIC EQUATIONS AND THEIR SYSTEMS
3.1. Equalities and their properties
3.2. Equivalent (equivalent) equations. Properties of equivalent equations
3.3. Linear equations with one and two unknowns
3.4. System of two linear equations with two unknowns. Equivalent systems
3.5. Methods for solving a system of two linear equations with two unknowns
3.6. System of three linear equations with three unknowns
3.7. Quadratic equation. Types of quadratic equations and ways to solve them
3.8. Property of the roots of a quadratic equation. Factorization of a square trinomial
3.9. Equations that Contain Modulus
3.10. Rational Equations
3.11. Irrational equations
Report
SECTION 4. ALGEBRAIC INEQUALITIES, THEIR SYSTEMS AND ASSETS
3.12. Systems of algebraic equations
4.1. Numerical inequalities. Basic properties
4.2. Inequalities with one variable. Equivalent inequalities. Linear inequalities and their solution
4.3. Quadratic inequalities and their solutions
4.4. Entire rational and fractional rational inequalities and their solution
4.5. Systems and collections of several inequalities with one variable
4.6. Inequalities containing the sign of the modulus
4.7. Irrational inequalities
Report
SECTION 5. ELEMENTARY FUNCTIONS
5.1. Function definition. Basic ways to define a function. Function classification
5.2. Basic properties of the function. Inverse function
5.3. Power function
5.4. Exponential and logarithmic functions
5.5. Trigonometric functions of a numeric argument
5.6. Properties of trigonometric functions
5.7. Inverse trigonometric functions
5.8. Geometric transformations of graphs of functions
Report
SECTION 6. NUMERICAL SEQUENCES
6.1. The concept of a numerical sequence
6.2. Arithmetic and geometric progressions
Report
SECTION 7. TRANSCENDENT EXPRESSION TRANSFORMATIONS
7.1. Logarithms and their properties. Logarithm and potentiation
7.2. Problems of transformation of trigonometric expressions
Report
SECTION 8. TRANSCENDENT EQUATIONS AND THEIR SYSTEMS
8.1. Exponential equations and their systems
8.2. Logarithmic equations and their systems
8.3. The simplest trigonometric equations
8.4. Basic methods for solving trigonometric equations
Report
SECTION 9. TRANSCENDENT INEQUALITIES AND THEIR SYSTEMS
9.1. Exponential inequalities and their systems
9.2. Logarithmic inequalities and their systems
9.3. The simplest trigonometric inequalities
Report
SECTION 10. ELEMENTS OF MATHEMATICAL ANALYSIS
10.1. The limit of the numerical sequence. Infinitely small and infinitely large quantities
10.2. Limit theorems. uncertainties
10.3. Function limit
10.4. Examples of calculating limits. Disclosure of Uncertainties
10.5. Function continuity. Derivative. Differential. Asymptotes
10.6. Differentiation formulas. Derivatives of elementary functions
10.7. Geometric and physical meanings of the derivative
10.8. Derivatives of higher orders. The physical meaning of the second order derivative
10.9. Investigation of the properties of a function using derivatives
10.10. Exploring a Function and Plotting
10.11. The antiderivative of a function. Indefinite integral. Properties of the indefinite integral
10.12. Table of integrals. Direct integration. Integration methods
10.13. Definite integral
10.14. Applications of the definite integral
Report
SECTION 11. ELEMENTS OF MATHEMATICAL ANALYSIS
11.1. Matrices. Basic concepts and properties
11.2. Actions with matrices
11.3. Elementary Matrix Transformations
11.4. Determinants and their properties. inverse matrix
Final testing