Bogomolov practical tasks gdz. Practical lessons in mathematics

Bogomolov N.V. Workshops mathematics: Tutorial for students of secondary vocational schools ONLINEBogomolov N. V. Practical classes in mathematics: Textbook for secondary special educational institutions/N. V. Bogomolov. - 6th ed., ster. - M .: Vyssh. This manual (5th ed. - 2. The main purpose of the manual is to help the student independently, without the help of a teacher, learn how to solve problems in mathematics, consolidate and deepen the skills acquired in solving these problems. For students of secondary specialized educational institutions. Maybe used by college students.

It is known that the solution of problems in mathematics for students is often associated with many difficulties. The main purpose of this manual is to help the student overcome these difficulties and teach him how to solve problems in all sections of the mathematics course. When solving problems on their own, many students need constant consultations on the techniques and methods for solving them, since they cannot find a way to solve a problem without the help of a teacher or an appropriate manual. The student can receive such advice in this book. Each paragraph provides brief theoretical information, describes the methods of solving typical tasks, their classification and sample solutions are given, and then follow the tasks for independent solution to which answers are given at the end of the book. After studying each topic, mixed problems on this topic are given, as well as a test work. This form of presentation allows the student to first get acquainted with the methods of solving typical problems and recording their solutions, and then begin to develop skills in their independent solution.

The absolute error of the approximate value of a number. Absolute error limit………1. True digits. Recording the approximate value of a number.

PRACTICAL STUDIES IN MATHEMATICS 11th ed., trans. and additional Textbook for bachelors. Bogomolov N.V. More. Bogomolov Nikolay.

Reshebnikov and Ready Homework on our website: http:// ALLNEWGDZ.RU - All GDZ from 1st to 11th grade. Just come in. Kaplan I.A. Practical training higher mathematics, in 5 parts.. Bogomolov NV Practical lessons in mathematics.

Rounding off approximate numbers……………….

Russian language For the lesson Exam (USE) GDZ in Russian. language for students. Practical lessons in higher mathematics. Bogomolov N.V. (2003, 495 pp.).
Reshebnikov and Ready Homework on our website: http:// ALLNEWGDZ.RU - All GDZ from 1st to 11th grade. Just come in.
Textbooks, manuals, workbooks in mathematics · GDZ, reshebnik in mathematics · GIA, DPA by Bogomolov N.V. Practical lessons in mathematics: Textbook for students of secondary schools ONLINE.

This textbook has been in constant demand among students and teachers of secondary vocational schools for many years, has withstood several reprints, and has been translated into English and the languages of other countries. former USSR. The manual is applied in nature, its main purpose is to help the student independently, without the help of a teacher, learn the techniques for solving problems in mathematics, consolidate and deepen the skills acquired in solving these problems. In this regard, briefly and clearly stated theoretical basis sections of the course, examples of solving typical problems are given, as well as tasks for independent solution, to which answers are given, and test papers on the main topics.

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Mathematics Didactic Assignments Bogomolov Sergienko Gdz.

Reshebnik to the collection of problems in mathematics for technical schools.

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Bogomolov NV Collection of problems in mathematics: textbook.

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didactic materials

5th ed., ster. - M.: Bustard, 2009. - 206 p.

The manual presents tasks in the main sections of mathematics: algebra, principles of analysis, differential and integral calculus, differential equations, analytic geometry on the plane, stereometry, as well as elements of combinatorics and probability theory. Highlighted exercises and tasks increased complexity and for repetition for the course of the nine-year school. Reference theoretical material. The edition is one of the books training kit, which also includes the textbook "Mathematics" by N. V. Bogomolov, P. I. Samoylenko (M.: Drofa, 2002. - 400 p.) and "Collection of didactic tasks in mathematics" by N. V. Bogomolov and L. Yu Sergienko.

For students of technical schools of humanitarian directions, pedagogical, financial and economic, technical, construction, agricultural. Can be used by high school students general education schools and students of university preparation courses.

Format: djvu/zip

Format: pdf / zip

CONTENTSPrefacePART 1. ALGEBRAS OF THE BEGINNING OF ANALYSIS CHAPTER 1. LINEAR AND QUADRATIVE EQUATIONS AND INEQUALITIES. ELEMENTS OF COMPUTATIONAL MATHEMATICS § 1. Actions on real and complex numbers 4 § 2. Actions on approximate numbers. Absolute and relative error 6 § 3. Linear equations in one variable 8 § 4. Linear inequalities 9 § 5. Systems linear equations 11 § 6. Quadratic equations 12 § 7. Quadratic inequalities 15 § 8. Irrational equations and irrational inequalities 16 § 9. Nonlinear systems equations with two variables 17 CHAPTER 2. LOGARITHMIC AND EXPONENTIAL FUNCTIONS logarithmic function 19 § 11. Exponential equations and systems exponential equations. exponential inequalities 20 § 12. Logarithmic equations and systems of logarithmic equations. Logarithmic inequalities 22 CHAPTER 3. TRIGONOMETRIC FUNCTIONS § 13. Vectors on the plane 23 § 14. Radian measurement of arcs and angles 24 § 15. Numeric values and signs trigonometric functions 25 § 16. Calculation of the values of trigonometric functions from given value one of them 26 § 17. Basic trigonometric identities. Proofs of identities 27§ 18. Periodicity of trigonometric functions 28§ 19. Reduction formulas 30§ 20. Inverse trigonometric functions 31§ 21. Trigonometric equations. Protozoa trigonometric inequalities 32 § 22. Trigonometric functions algebraic sum two arguments (addition formulas) 35§ 23. Trigonometric functions of a doubled argument (doubling formulas) 36§ 24. Trigonometric functions of a half argument (division formulas) 38§ 25. Transformation of a product of trigonometric functions into an algebraic sum 40§ 26. Transformation of an algebraic sum of trigonometric functions into a product 41 CHAPTER 4. LIMITS AND DERIVATIVES § 27. Limit of a function 43 § 28. Derivative of degree and root 45 § 29. Derivative complex function(functions from functions). ... 46 § 30. Geometric Applications derivative 47 § 31. Physical applications of the derivative 48 § 32. Derivatives of trigonometric functions. Derivatives of inverse trigonometric functions 49 § 33. Derivatives of logarithmic and exponential functions 50§ 34. Investigation of functions using the derivative 51§ 35. Differential of a function. Application of the differential to approximate calculations 55 CHAPTER 5. INTEGRALS § 36. Indefinite integral. Direct integration 57 § 37. Geometrical and physical applications of the indefinite 58 § 38. Calculation indefinite integral method of changing the variable (substitution method) 60 § 39. Definite integral and its direct calculation 62 § 40. Differential Equations 63CHAPTER 6. ELEMENTS OF COMBINATORICS AND PROBABILITY THEORY § 41. Elements of combinatorics 65§ 42. Elements of probability theory 66PART 2. ELEMENTS OF ANALYTICAL GEOMETRY ON THE PLANE. ELEMENTS OF STEREOMETRYCHAPTER 7. ELEMENTS OF ANALYTICAL GEOMETRY ON THE PLANE § 43. Straight line 68 § 44. Circle 72 § 45. Ellipse 73 § 46. Hyperbola 74 § 47. Parabola with vertex at the origin 75 § 48. Parabola with displaced vertex 76 CHAPTER 8. ELEMENTS OF STEREOMETRY § 49. Line and plane in space 11 § 50. Prism and parallelepiped 79 § 51. Surface areas of prism and parallelepiped 80 § 52. Pyramid. Truncated pyramid 82§ 53. Surface areas of the pyramid and truncated pyramid 84§ 54. Cylinder 86§ 55. Areas of the lateral and full surfaces cylinder 87 § 56. Cone. Truncated cone 88§ 57. Areas of the lateral and full surfaces of the cone and truncated cone 89§ 58. Sphere and ball. Inscribed and circumscribed spheres. Surface areas of a sphere and its parts 90§ 59. Volumes of a prism and parallelepiped 92§ 60. Volume of a pyramid. Volume of a truncated pyramid 93§ 61. Volumes of figures of revolution 95§ 62. Calculation of the volumes of figures of revolution using a definite integral 97 § 64. Linear inequalities and systems of linear inequalities 102 § 65. Solution of inequalities by the method of gaps (intervals). Solution of inequalities with modulus 104§ 66. Quadratic equations. Equations Reducible to Quadratic 104§ 67. Irrational Equations and Inequalities 108§ 68. Systems of Equations and Above Powers 109§ 69. Exponential and logarithmic equations and inequalities 111CHAPTER 10. TRIGONOMETRIC FUNCTIONS. ADDITIONAL EXERCISES § 70. Trigonometric identities. 115 § 71. Addition theorems. Trigonometric functions of double and half arguments 117 § 72. Transformation of the algebraic sum of trigonometric functions into a product 118 § 73. Trigonometric equations and trigonometric inequalities 120CHAPTER 11. ELEMENTS OF ANALYTICAL GEOMETRY § 74. Straight line 122 § 75. geometric places points on the plane. Curves of the second order 123 CHAPTER 12. ELEMENTS OF DIFFERENTIAL CALCULATION § 76. Applications of the derivative to the study of functions 126 § 77. Physical applications of the derivative 129 CHAPTER 13. ELEMENTS OF INTEGRAL CALCULATION § 78. Geometric applications of the indefinite integral 130 § 79. Physical applications of the indefinite integral 131 § 80. Defined integral 132 PART 4. EXERCISES AND TASKS FOR REPETITION FOR THE COURSE OF NINE-YEAR SCHOOLCHAPTER 14. ARITHMETIC AND ALGEBRAIC ACTIONS § 81. Arithmetic operations 135§ 82. Algebraic operations 137CHAPTER 15. LINEAR EQUATIONS AND SYSTEMS OF LINEAR EQUATIONS.LINEAR INEQUALITIES AND SYSTEMS OF LINEAR INEQUALITIES. Fractional exponents § 83. Linear equations and systems of linear equations 139 § 84. Linear inequalities and systems of linear inequalities with one variable 141 § 85. Actions with fractional indicators and roots 142CHAPTER 16. SQUARE EQUATIONS AND SQUARE INEQUALITIES PROGRESSIONS§ 86. Quadratic equations and systems of equations of the second degree with two variables 144§ 87. Quadratic inequalities 145§ 88. Progressions 146PART 5. REFERENCE MATERIALSCHAPTER 17. ARITHMETICS AND ALGEBRA decimals 150 § 91. Percentages 151 § 92. Proportions 151 § 93. Reduced multiplication formulas 152 § 94. Operations with powers and roots 153 § 95. Complex numbers in algebraic form 154 § 96. Linear equations and systems of linear equations 156 § 97. Brief information about determinants. Solving a system of linear equations using Cramer's formulas 159 § 98. Solving a system of three linear equations with stirrup variable method Gauss 161 § 99. Quadratic equations and square inequalities 162 § 100. Progressions 163 § 101. Irrational equations and irrational inequalities 164 § 102. Logarithms. Logarithmic inequalities 165 § 103. Exponential inequalities 168 § 104. Elements of combinatorics 168 CHAPTER 18. TRIGONOMETRY § 105. Basic trigonometric identities 170 § 106. Reduction formulas 172 § 107. Inverse trigonometric functions. Protozoa trigonometric equations 172 § 108. Trigonometric functions of the algebraic sum of two arguments. Formulas for double and half arguments 174§ 109. Transformation of a product of trigonometric functions into an algebraic sum and an algebraic sum into a product 175CHAPTER 19. GEOMETRY§ 110. Areas of polygons. Circle and circle 176 § 111. Volumes and areas of surfaces geometric bodies... 178CHAPTER 20. ELEMENTS OF ANALYTICAL GEOMETRY ON THE PLANE§ 112. A straight line on a plane 181§ 113. Curves of the second order 184CHAPTER 21. ELEMENTS OF DIFFERENTIAL CALCULATION § 114.