Colorful Mathematics
Mathematics 11.
Textbook
Imosoft Kft.
MS2311EN  Edition 1, 2014  295 pages
Authors: József Kosztolányi PhD, István Kovács, Klára Pintér, János Urbán PhD, István Vincze
Further publications for Grade 11

Combinatorics, graphs

Powers, roots, logarithms
 1. Exponentiation and computing the roots (reminder) 21
 2. Power functions and root functions Reminder 26
 3. Power with fractional (rational) exponent 29
 4. Power with irrational exponent, exponential function 35
 5. Exponential equations, simultaneous exponential equations and exponential inequalities 40
 6. The concept of the logarithm 47
 7. The logarithm function 53
 8. The logarithmic identities 57
 9. Logarithmic equations, simultaneous logarithmic equations and logarithmic inequalities 62
 10. Practical applications 70

Applications of trigonometry
 1. Vector operations and applications (reminder) 75
 2. The dot product 80
 3. Dot product in the coordinate system 85
 4. The sine rule 89
 5. The cosine rule 94
 6. Applications of the trigonometric relations 98
 7. Addition formulae (higher level courseware) 102
 8. Applications of the addition formulae (higher level courseware) 105
 9. Trigonometric equations, inequalities 111
 10. The application of trigonometry for positioning 118

Functions
 1. The exponential and the logarithm function 121
 2. Equations and functions 125
 3. Trigonometric functions 127
 4. Trigonometric equations, inequalities (extracurricular topic) 131
 5. Miscellaneous exercises (extracurricular topic) 136
 6. Inverse functions (extracurricular topic) 141
 7. A practical application of the functions 144

Coordinate geometry
 1. Vectors in the coordinate system. Operations with vectors given with coordinates (reminder) 147
 2. The distance between two points. The angle of inclination of two vectors 150
 3. The coordinates of the point of division of a line segment. The coordinates of the centroid of a triangle 153
 4. Data defining a straight line in the coordinate system 159
 5. The equation of a straight line I 167
 6. The equation of a straight line II 170
 7. The intersection point, the distance and the angle of inclination of two straight lines 174
 8. The equation of a circle 180
 9. The mutual position of a circle and a straight line; the common points of two circles 188
 10. The equation of a parabola (higher level courseware) 199
 11. The parabola and the quadratic function (higher level courseware) 205
 12. Conic sections and their equations in the coordinate system (extracurricular topic) 208
 13. Two practical applications of coordinate geometry (higher level courseware) 213

Calculation of probability,statistics