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Colorful Mathematics
Mathematics 12.
Manual
MS-6312 - Ediția 1, 2015 - 288 pagini
Autori: József Kosztolányi PhD, István Kovács, Klára Pintér, János Urbán PhD, István Vincze
Publicații asociate
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Logic and methods of proof
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Number sequences
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Three-dimensional geometry
- 1. Geometric objects in space 66
- 2. Division of the plane and the space (extra-curricular topic) 72
- 3. Classification of solids, Platonic solids 76
- 4. The concept of area, area of polygons 82
- 5. The area of the disc and its parts 87
- 6. Concept of volume, the volume of the prism and the cylinder 92
- 7. Volume of the pyramid and the cone 98
- 8. Conical and pyramidal frustum 103
- 9. The volume and surface of the sphere 108
- 10. Inscribed solids (extra-curricular topic) 112
- 11. Applications of three-dimensional geometry 118
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Probability theory, statistics
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Thematic summary
- Methods of reasoning 146
- 1. Sets, statements, events 146
- 2. Combinatorics, probability 152
- Algebra and number theory 161
- 1. Numbers and operations 161
- 2. Number theory, divisibility 164
- 3. Powers, root, logarithm 167
- 4. Operations with rational expressions 178
- 5. Equations, inequalities 183
- 6. Simultaneous equations (systems of equations) 213
- Functions 218
- 1. Definition and graph of a function, simple properties 218
- 2. Operations on functions (extra-curricular topic) 221
- 3. Properties of functions 224
- Geometry 230
- 1. Basic concepts 230
- 2. Geometric transformations 238
- Congruent transformations 238
- Similarity transformation 243
- 3. Vectors. Trigonometric functions 248
- 4. Properties of notable planar objects 257
- 5. Coordinate geometry 270
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Problem sets for intermediate level maturity exam