А.Н.Шыныбеков. Алгебра және анализ бастамалары (Жаратылыстану-математика бағыты) 11-сынып, 2015
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А.Н.Шыныбеков
11-сынып
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А.Н.Шыныбеков. Алгебра және анализ бастамалары (Жаратылыстану-математика бағыты) 11-сынып, 2015
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Preface
Other
Page 4
Chapter I. Integral and differential equations
Theory
Page 9
§ 1. Indefinite integral
Theory
Page 9
§ 2. Rules of integration
Theory
Page 17
§ 3. Area of a curvilinear trapezoid
Theory
Page 23
§ 4. Definite integral and its properties
Theory
Page 31
§ 5. Applications of the definite integral
Theory
Page 38
§ 6*. Concept of an integral sum and its applications
Theory
Page 47
§ 7*. Differential equations
Theory
Page 53
Additional problems for Chapter I
Problem
Page 66
Chapter II. Power, exponential and logarithmic functions
Theory
Page 70
§ 1. nth root and its properties
Theory
Page 70
§ 2. Power with rational exponent and its properties. Concept of power with irrational exponent
Theory
Page 77
§ 3. Transforming expressions with powers and roots
Theory
Page 84
§ 4. General properties of power functions
Theory
Page 89
§ 5. Exponential function and its properties
Theory
Page 94
§ 6. Logarithm of a number and its properties
Theory
Page 99
§ 7. Logarithmic function, its properties and graph
Theory
Page 106
§ 8*. Number e. Exponential and logarithmic functions with base e
Theory
Page 113
§ 9. Derivative and integral of exponential and logarithmic functions
Theory
Page 120
§ 10. Exponential and logarithmic equations and their systems
Theory
Page 124
§ 11. Solving exponential and logarithmic inequalities
Theory
Page 134
Chapter III. Polynomials in several variables. Systems of equations and inequalities
Theory
Page 146
§ 1*. Polynomials in several variables
Theory
Page 146
§ 2. Systems of equations and inequalities
Theory
Page 158
Additional problems for Chapter III
Problem
Page 186
Chapter IV. Elements of mathematical statistics
Theory
Page 190
§ 1. Random variables and their numerical characteristics
Theory
Page 190
§ 2. Basic concepts of mathematical statistics
Theory
Page 197
§ 3. Exact estimates of distribution parameters
Theory
Page 203
Chapter V. Problems for reviewing the secondary school course
Problem
Page 207
§ 1. Arithmetic. Real numbers
Problem
Page 207
§ 2. Transforming algebraic expressions
Problem
Page 209
§ 3. Numerical sequences and progressions. Combinatorics
Problem
Page 210
§ 4. Algebraic equations
Problem
Page 213
§ 5. Algebraic inequalities
Problem
Page 217
§ 6. Trigonometry
Problem
Page 220
§ 7. Power, exponential and logarithmic functions
Problem
Page 227
§ 8. Derivative and its applications
Problem
Page 231
§ 9. Antiderivative, integral and their applications
Problem
Page 235
§ 10. Problems on forming equations
Problem
Page 239
Answers to problems
Answer
Page 241
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