- 1.
- What is a derivative of a function?
- (a)
- Difference of maximal and minimal values of the function
- (b)
- Slope of the tangent at a given point
- (c)
- (d)
- Speed of function's change
- (e)
- The lowest value of a function

- 2.
- What is an integral?
- (a)
- Area under graphics of the function
- (b)
- Sum of the minimal and maximal value of the function
- (c)
- (d)
- (e)
- The largest value of the function

- 3.
- Area of a square with side
*a*is*a*. Volume of a cube with the side^{2}*a*is*a*. What is the volume of an^{3}*N*-dimensional hypercube with the side*a*? - 4.
- What is the probability to have a sum of three when throwing two dice? A sum of four?
- 5.
- What is the dimension of the phase space for a system, that has only one particle moving along a straight line? Draw a trajectory in a phase space for a particle that has a constant velocity.
- 6.
- What is the dimension for the phase space for a harmonic oscillator? Sketch its trajectory in the phase space.

© 1997

Wed Sep 3 22:38:51 EDT 1997