Colourful Mathematics 12.
MS-6312
12. évfolyam, 1. kiadás (2015. 11. 26.)
Ingyenes, online hozzáférés a kiadvány digitális változatához, interaktív extra tartalmakkal.
 
 
kód: MS-6312
ára: 4 980 Ft
méret: B5, 288 oldal
tanterv: NAT2007
 
Kapcsolódó kiadványok
A kiadvány az MS-2312 Sokszínű matematika 12. c. kötet angol nyelvű változata. This book is the English version of the Hungarian market leader textbook titled Sokszínű matematika 12.

Tartalomjegyzék
Logic and methods of proof9
1. Logic problems and statements10
2. Logical operators: negation, conjunction, disjunction15
3. Logical operators: implication and equivalence23
4. Induction (higher level courseware)28
Number sequences35
1. Definition of a number sequence, examples36
2. Recursive sequences – examples41
3. Arithmetic progressions48
4. Geometric progressions54
5. Interest calculation, computation of instalments61
Three-dimensional geometry65
1. Geometric objects in space66
2. Division of the plane and the space (extra-curricular topic)72
3. Classification of solids, Platonic solids76
4. The concept of area, area of polygons82
5. The area of the disc and its parts87
6. Concept of volume, the volume of the prism and the cylinder92
7. Volume of the pyramid and the cone98
8. Conical and pyramidal frustum103
9. The volume and surface of the sphere108
10. Inscribed solids (extra-curricular topic)112
11. Applications of three-dimensional geometry118
Probability theory, statistics121
1. Geometric probability122
2. Expected value (higher level courseware)128
3. Statistics134
Thematic summary145
Methods of reasoning146
1. Sets, statements, events146
2. Combinatorics, probability152
Algebra and number theory161
1. Numbers and operations161
2. Number theory, divisibility164
3. Powers, root, logarithm167
4. Operations with rational expressions178
5. Equations, inequalities183
6. Simultaneous equations (systems of equations)213
Functions218
1. Definition and graph of a function, simple properties218
2. Operations on functions (extra-curricular topic)221
3. Properties of functions224
Geometry230
1. Basic concepts230
2. Geometric transformations238
Congruent transformations238
Similarity transformation243
3. Vectors. Trigonometric functions248
4. Properties of notable planar objects257
5. Coordinate geometry270
Problem sets for intermediate level maturity exam276
Problem set 1277
Problem set 2279
Problem set 3281
Problem set 4283
Problem set 5286

© MOZAIK KIADÓ - SZEGED, 2017