Given the description, give the name of the specific area of mathematics in each case.
1. The behaviour of dynamic systems, which renders long-term prediction almost impossible
2. The study of symbols and the rules for manipulating symbols
3. Concerning rates of change and slopes of curves
4. Concerned with shape, size, angles, & relative position of figures
5. Study of the collection, analysis, interpretation, presentation, and organization of data
6. Continuous deformations including stretching and bending, but not tearing or gluing.
7. The traditional operations of numbers, addition, subtraction, multiplication and division.
8. The analysis of random phenomena, and the calculations involved in prediction
9. Relationships between lengths and angles of triangles
10. Study of motion and forces producing motion.