Mordkovich A.G. Algebra i nachala analiza. 10-11 klass, zadachnik (2001)(ru)(L)(T)(158s)_MSch_
Book details, catalog entries, and PDF scan/DJVU viewer.
Русский
General book
Links: 2
Entries: 69
Мордкович А.Г.
Mordkovich
1. Local PDF file
The PDF opens in WEBP scan mode. Fullscreen mode is available when needed.
Catalog filter
69 / 69
All
Mordkovich A.G. Algebra i nachala analiza. 10-11 klass, zadachnik (2001)(ru)(L)(T)(158s)_MSch_
Preparing book pages
1
Entries
69
Preface for the teacher
Other
Page 3
Chapter 1. Trigonometric functions
Theory
Page 5
§ 1. Introduction
Theory
Page 5
§ 2. Number circle
Theory
Page 6
§ 3. Number circle on the coordinate plane
Theory
Page 8
§ 4. Sine and cosine
Theory
Page 10
§ 5. Tangent and cotangent
Theory
Page 15
§ 6. Trigonometric functions of a numerical argument
Theory
Page 17
§ 7. Trigonometric functions of an angular argument
Theory
Page 20
§ 8. Reduction formulas
Theory
Page 22
§ 9. The function y = sin x, its properties and graph
Theory
Page 25
§ 10. The function y = cos x, its properties and graph
Theory
Page 29
§ 11. Periodicity of the functions y = sin x and y = cos x
Theory
Page 32
§ 12. How to construct the graph of y = mf(x) if the graph of y = f(x) is known
Theory
Page 34
§ 13. How to construct the graph of y = f(kx) if the graph of y = f(x) is known
Theory
Page 35
§ 14. Graph of harmonic oscillation
Theory
Page 37
§ 15. The functions y = tan x and y = cot x, their properties and graphs
Theory
Page 37
Chapter 2. Trigonometric equations
Theory
Page 42
§ 16. First ideas about solving trigonometric equations
Theory
Page 42
§ 17. Arccosine and solving the equation cos t = a
Theory
Page 43
§ 18. Arcsine and solving the equation sin t = a
Theory
Page 46
§ 19. Arctangent and solving tg x = a. Arccotangent and solving ctg x = a
Theory
Page 48
§ 20. Trigonometric equations
Theory
Page 51
Chapter 3. Transformation of trigonometric expressions
Theory
Page 58
§ 21. Sine and cosine of a sum of arguments
Theory
Page 58
§ 22. Sine and cosine of a difference of arguments
Theory
Page 61
§ 23. Tangent of a sum and difference of arguments
Theory
Page 65
§ 24. Double-angle formulas
Theory
Page 67
§ 25. Power-reduction formulas
Theory
Page 73
§ 26. Transforming sums of trigonometric functions into products
Theory
Page 75
§ 27. Transforming products of trigonometric functions into sums
Theory
Page 79
§ 28. Transforming A sin x + B cos x into the form C sin(x + t)
Theory
Page 80
Chapter 4. Derivative
Theory
Page 83
§ 29. Numerical sequences
Theory
Page 83
§ 30. Limit of a numerical sequence
Theory
Page 92
§ 31. Limit of a function
Theory
Page 97
§ 32. Definition of the derivative
Theory
Page 108
§ 33. Calculation of derivatives
Theory
Page 111
§ 34. Equation of the tangent to the graph of a function
Theory
Page 123
§ 35. Using the derivative to study monotonicity and extrema of functions
Theory
Page 131
§ 36. Using the derivative to find greatest and least values of quantities
Theory
Page 147
Chapter 5. Antiderivative and integral
Theory
Page 154
§ 37. Antiderivative and indefinite integral
Theory
Page 154
§ 38. Definite integral
Theory
Page 158
Chapter 6. Powers and roots. Power functions
Theory
Page 168
§ 39. Concept of the nth root of a real number
Theory
Page 168
§ 40. The function y = ⁿ√x, its properties and graphs
Theory
Page 171
§ 41. Properties of the nth root
Theory
Page 175
§ 42. Transformation of expressions containing radicals
Theory
Page 179
§ 43. Generalization of the concept of exponent
Theory
Page 184
§ 44. Power functions, their properties and graphs
Theory
Page 190
Chapter 7. Exponential and logarithmic functions
Theory
Page 198
§ 45. Exponential function, its properties and graph
Theory
Page 198
§ 46. Exponential equations
Theory
Page 206
§ 47. Exponential inequalities
Theory
Page 211
§ 48. Concept of logarithm
Theory
Page 215
§ 49. Logarithmic function, its properties and graph
Theory
Page 218
§ 50. Properties of logarithms
Theory
Page 223
§ 51. Logarithmic equations
Theory
Page 230
§ 52. Logarithmic inequalities
Theory
Page 234
§ 53. Change of base of a logarithm
Theory
Page 237
§ 54. Differentiation of exponential and logarithmic functions
Theory
Page 239
Chapter 8. Equations and inequalities. Systems of equations and inequalities
Theory
Page 247
§ 55. Equivalence of equations
Theory
Page 247
§ 56. General methods for solving equations
Theory
Page 249
§ 57. Solving inequalities in one variable
Theory
Page 256
§ 58. Systems of equations
Theory
Page 263
§ 59. Equations and inequalities with parameters
Theory
Page 271
Answers
Answer
Page 275
PDF scan is unavailable.