Angol nyelvű matematika
|
11. évfolyam, 4. kiadás (2024. 02. 14.) Mozaik Kiadó
méret: 170x240 mm
terjedelem: 296 oldal
6 780 Ft
Kosárba  |
| A kiadvány az MS-2311 Sokszínű matematika 11. c. kötet angol nyelvű változata. This book is the English version of the former Hungarian market leader textbook titled Sokszínű matematika 11. |
Kapcsolódó kiadványok
| A kiadvány digitális változata a könyvben levő kóddal ingyenesen elérhető * A kiadvány hátsó borítójának belső oldalán található egyedi kóddal a kiadvány digitálisan is elérhető. Az aktivált kódokkal 1 éves DÍJMENTES hozzáférést ajándékozunk a kiadvány digitális változatához. Az aktiválás a www.mozaweb.hu/aktivalas oldalon, a Fiókom/Új kód aktiválása menüpontban érhető el. |
Mintaoldalak
Tartalomjegyzék
| Combinatorics, graphs | 10 |
| 1. Fibonacci numbers | 10 |
| 2. Permutations, variations . | 13 |
| 3. Combinations without repetition, Pascal's triangle | 20 |
| 4. Binomial coefficients, combination with repetition | 28 |
| 5. Miscellaneous counting exercises (extra-curricular topic) | 34 |
| 6. GRAPHS - points, edges, degree | 38 |
| 7. GRAPHS - path, trail, walk, cycle, Eulerian trail (extra-curricular topic) | 48 |
| 8. Tree graphs (extra-curricular topic) | 57 |
| 9. Practical applications of combinatorics | 63 |
| Powers, roots, logarithms | 66 |
| 1. Exponentiation and computing the roots (reminder) | 66 |
| 2. Power functions and root functions | 71 |
| 3. Power with fractional (rational) exponent | 74 |
| 4. Power with irrational exponent, exponential function | 80 |
| 5. Exponential equations, simultaneous exponential equations and exponential inequalities | 85 |
| 6. The concept of the logarithm | 92 |
| 7. The logarithm function | 98 |
| 8. The logarithmic identities | 102 |
| 9. Logarithmic equations, simultaneous logarithmic equations and logarithmic inequalities . | 107 |
| 10. Practical applications | 115 |
| Applications of trigonometry | 120 |
| 1. Vector operations, applications (reminder) | 120 |
| 2. The dot product | 125 |
| 3. Dot product in the coordinate system | 130 |
| 4. The sine rule | 134 |
| 5. The cosine rule | 139 |
| 6. Applications of the trigonometric relations | 143 |
| 7. Addition formulae | 147 |
| 8. Applications of the addition formulae | 150 |
| 9. Trigonometric equations, inequalities | 156 |
| 10. The application of trigonometry for positioning | 163 |
| Functions | 166 |
| 1. The exponential and the logarithm function | 166 |
| 2. Equations and functions | 170 |
| 3. Trigonometric functions | 172 |
| 4. Trigonometric equations, inequalities (extra-curricular topic) | 176 |
| 5. Miscellaneous exercises (extra-curricular topic) | 181 |
| 6. Inverse functions (extra-curricular topic) | 186 |
| 7. A practical application of the functions | 189 |
| Coordinate geometry | 192 |
| 1. Vectors in the coordinate system. Operations with vectors given with coordinates (reminder) | 192 |
| 2. The distance between two points. The angle of inclination of two vectors | 195 |
| 3. The coordinates of the point of division of a line segment. The coordinates of the centroid of a triangle | 198 |
| 4. Data defining a straight line in the coordinate system | 204 |
| 5. The equation of a straight line I. | 212 |
| 6. The equation of a straight line II. | 215 |
| 7. The intersection point, the distance and the angle of inclination of two straight lines | 219 |
| 8. The equation of a circle | 225 |
| 9. The mutual position of a circle and a straight line; the common points of two circles | 233 |
| 10. The equation of a parabola | 244 |
| 11. The parabola and the quadratic function (extra-curricular topic) | 250 |
| 12. Conic sections and their equations in the coordinate system (extra-curricular topic) | 253 |
| 13. Two practical applications of coordinate geometry | 258 |
| Calculation of probability, statistics | 264 |
| 1. Classical probability model | 264 |
| 2. Sampling with replacement | 273 |
| 3. Sampling without replacement (extra-curricular topic) | 280 |
| 4. Probabilistic games on graphs (extra-curricular topic) | 286 |
| 5. Reality and statistics | 293 |
A kiadvány bevezetője
| Guide to use the course book. The notations and highlights used in the book help with acquiring the courseware. - The train of thought of the worked examples show samples how to understand the methods and processes and how to solve the subsequent exercises. - The most important definitions and theorems are denoted by colourful highlights. - The parts of the courseware in small print and the worked examples noted in claret colour help with deeper understanding of the courseware. These pieces of knowledge are necessary for the higher level of graduation. - Figures, the key points of the given lesson, review and explanatory parts along with interesting facts of the history of mathematics can be found on the margin. The difficulty level of the examples and the appointed exercises is denoted by three different colours: Yellow: drilling exercises with basic level difficulty; the solution and drilling of these exercises is essential for the progress. Blue: exercises the difficulty of which corresponds to the intermediate level of graduation. Claret: problems and exercises that help with preparing for the higher level of graduation. These colour codes correspond to the notations used in the Colourful mathematics workbooks of Mozaik Education. The workbook series contains more than 3000 exercises which are suitable for drilling, working on in lessons and which help with preparing for the graduation. The end results of the appointed exercises can be found on the following website: www.mozaik.info.hu. Website www.mozaweb.hu offers more help material for processing with the course book. |
