А.Е.Әбілқасымова, К.Д.Шойынбеков. Алгебра және анализ бастамалары (Жаратылыстану-математика бағыты), 2010
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А.Е.Әбілқасымова
К.Д.Шойынбеков.
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А.Е.Әбілқасымова, К.Д.Шойынбеков. Алгебра және анализ бастамалары (Жаратылыстану-математика бағыты), 2010
Preparing book pages
1
Entries
49
Preface
Other
Page 4
Chapter I. Function, its properties and graph
Theory
Page 6
§ 1. Concept of a function and ways of defining it
Theory
Page 6
§ 2. Simple transformations of function graphs
Theory
Page 13
§ 3. Properties of a function
Theory
Page 20
§ 4. Studying a function and plotting its graph
Theory
Page 28
Test tasks
Test
Page 32
Historical information
Other
Page 37
What did you learn in this chapter?
Open question
Page 38
Chapter II. Trigonometric functions
Theory
Page 39
§ 5. Converting trigonometric functions given as sums and differences into products
Theory
Page 39
§ 6. Converting trigonometric functions given as products into sums or differences
Theory
Page 45
§ 7. Main properties and graphs of trigonometric functions
Theory
Page 48
§ 8. Inverse trigonometric functions
Theory
Page 55
§ 9. Simple trigonometric equations and their solution
Theory
Page 63
§ 10. Methods for solving trigonometric equations and systems of equations
Theory
Page 71
§ 11. Solving trigonometric inequalities
Theory
Page 81
Test tasks
Test
Page 87
Historical information
Other
Page 91
What did you learn in this chapter?
Open question
Page 92
Chapter III. Derivative
Theory
Page 93
§ 12. Concept of the limit of a function at a point and continuity of a function
Theory
Page 93
§ 13. Definition of the derivative
Theory
Page 102
§ 14. Rules for finding derivatives
Theory
Page 106
§ 15. Physical and geometric meaning of the derivative. Tangent to a function graph
Theory
Page 112
§ 16. Derivative of a composite function
Theory
Page 119
§ 17. Derivatives of trigonometric functions
Theory
Page 121
§ 18. Approximate calculations
Theory
Page 125
Test tasks
Test
Page 128
Historical information
Other
Page 131
What did you learn in this chapter?
Open question
Page 132
Chapter IV. Applying the derivative to studying functions
Theory
Page 133
§ 19. Criteria for increasing and decreasing functions
Theory
Page 133
§ 20. Critical points. Extrema of a function
Theory
Page 137
§ 21. Studying a function using the derivative and plotting its graph
Theory
Page 142
§ 22. Greatest and least values of a function
Theory
Page 147
Test tasks
Test
Page 153
Historical information
Other
Page 156
What did you learn in this chapter?
Open question
Page 157
Chapter V. Combinatorics and Newton's binomial theorem
Theory
Page 158
§ 23. Basic elements of combinatorics
Theory
Page 158
§ 24. Newton's binomial theorem
Theory
Page 165
§ 25. Application of combinatorics and Newton's binomial theorem in probability theory
Theory
Page 169
Test tasks
Test
Page 174
Historical information
Other
Page 175
What did you learn in this chapter?
Open question
Page 176
Exercises for review
Problem
Page 177
Subject index
Other
Page 182
Answers
Answer
Page 184
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