А.Әбілқасымова, В.Корчевскиий, А.Абдиев. Алгебра және анализ бастамалары (Жаратылыстану-математика бағыты) 11-сынып, 2011
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А.Әбілқасымова
В.Корчевскиий
А.Абдиев.
11-сынып
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А.Әбілқасымова, В.Корчевскиий, А.Абдиев. Алгебра және анализ бастамалары (Жаратылыстану-математика бағыты) 11-сынып, 2011
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Entries
39
Preface
Other
Page 5
Chapter I. Antiderivative and integral
Theory
Page 7
§ 1. Antiderivative and indefinite integral
Theory
Page 7
§ 2. Area of a curvilinear trapezoid
Theory
Page 15
§ 3. Definite integral. Newton–Leibniz formula
Theory
Page 23
§ 4. Applications of the integral in geometric and physical problems
Theory
Page 29
Historical information
Other
Page 41
Chapter II. Power and root. Power function
Theory
Page 43
§ 5. nth root of a real number and its properties
Theory
Page 43
§ 6. Powers with rational and irrational exponents
Theory
Page 49
§ 7. Transforming irrational expressions
Theory
Page 58
§ 8. Solving irrational equations and their systems
Theory
Page 65
§ 9. Irrational inequalities and solving their systems
Theory
Page 71
§ 10. Power function and its properties
Theory
Page 80
§ 11. Derivative and integral of a power function with real exponent
Theory
Page 89
Historical information
Other
Page 96
Chapter III. Exponential and logarithmic functions
Theory
Page 99
§ 12. Exponential function, its properties and graph
Theory
Page 99
§ 13. Solving exponential equations and their systems
Theory
Page 104
§ 14. Exponential inequalities and their systems
Theory
Page 109
§ 15. Logarithm of a number. Basic logarithmic identity. Properties of logarithms
Theory
Page 114
§ 16. Logarithmic function. Graph and properties of the logarithmic function
Theory
Page 123
§ 17. Logarithmic equations and their systems
Theory
Page 129
§ 18. Logarithmic inequalities
Theory
Page 136
§ 19. Differentiation of exponential and logarithmic functions
Theory
Page 142
Historical information
Other
Page 152
Chapter IV. Equations and inequalities, systems of equations and inequalities
Theory
Page 154
§ 20. General methods for solving equations and their systems
Theory
Page 154
§ 21. General methods for solving inequalities and their systems
Theory
Page 164
§ 22. Equations and inequalities with variables under absolute value signs
Theory
Page 169
§ 23. Equations and inequalities with parameters
Theory
Page 176
Historical information
Other
Page 183
Chapter V. Probability
Theory
Page 186
§ 24. Addition and multiplication of probabilities
Theory
Page 186
§ 25. Random variable. Elements of selection methods
Theory
Page 191
Historical information
Other
Page 202
Exercises for reviewing the Grade 11 course
Problem
Page 204
Subject index
Other
Page 210
Answers
Answer
Page 212
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