Your cart is empty
Colorful Mathematics
Mathematics 11.
Textbook
Mozaik
MS-6311 - Edition 4,
2024
296 pages
Authors: József Kosztolányi PhD, István Kovács, Klára Pintér, János Urbán PhD, István Vincze
Related publications
Combinatorics, graphs
- 1. Fibonacci numbers10
- 2. Permutations, variations13
- 3. Combinations without repetition, Pascal's triangle20
- 4. Binomial coefficients, combination with repetition28
- 5. Miscellaneous counting exercises (extra-curricular topic)34
- 6. GRAPHS - points, edges, degree38
- 7. GRAPHS - path, trail, walk, cycle, Eulerian trail (extra-curricular topic)48
- 8. Tree graphs (extra-curricular topic)57
- 9. Practical applications of combinatorics63
Powers, roots, logarithms
- 1. Exponentiation and computing the roots (reminder)66
- 2. Power functions and root functions71
- 3. Power with fractional (rational) exponent74
- 4. Power with irrational exponent, exponential function80
- 5. Exponential equations, simultaneous exponential equations and exponential inequalities85
- 6. The concept of the logarithm92
- 7. The logarithm function98
- 8. The logarithmic identities102
- 9. Logarithmic equations, simultaneous logarithmic equations and logarithmic inequalities107
- 10. Practical applications115
Applications of trigonometry
- 1. Vector operations, applications (reminder)120
- 2. The dot product125
- 3. Dot product in the coordinate system130
- 4. The sine rule134
- 5. The cosine rule139
- 6. Applications of the trigonometric relations143
- 7. Addition formulae147
- 8. Applications of the addition formulae150
- 9. Trigonometric equations, inequalities156
- 10. The application of trigonometry for positioning163
Functions
- 1. The exponential and the logarithm function166
- 2. Equations and functions170
- 3. Trigonometric functions172
- 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 functions189
Coordinate geometry
- 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 vectors195
- 3. The coordinates of the point of division of a line segment. The coordinates of the centroid of a triangle198
- 4. Data defining a straight line in the coordinate system204
- 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 lines219
- 8. The equation of a circle225
- 9. The mutual position of a circle and a straight line; the common points of two circles233
- 10. The equation of a parabola244
- 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 geometry258
Calculation of probability, statistics