Learning More by Solving Series of Problems Martin Kollar, Comenius University, Bratislava Jozef Hvorecky, University Bellevue, Bratislava, Slovakia.

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Learning More by Solving Series of Problems Martin Kollar, Comenius University, Bratislava Jozef Hvorecky, University Bellevue, Bratislava, Slovakia

L’Hospital’s Rule – it gets harder Problem 3. Find Problem 4. Find Problem 5. Find

Sensitivity of solutions of systems of linear equations Problem 1. Study the sensitivity of solutions of the system Problem 2. The same problem for the system Problem 3. to the small change of the coefficients. Again the same problem for the system Problem 4. Find range for parameter m, for which the system is sensitive.

Lines and circles in analytical geometry Problem 1. Display the line passing through points [4, 3] and [1, 7] and a circle Problem 2. Find the coordinates of common points of line What is their mutual position? and a circle

Animations in planar geometry Problem 1. Animate the sliding ladder. Problem 2. Which trace travel the midpoint of the ladder by sliding? Problem 3. Animate the circle rolling on the ground. Problem 4. Which trace travel the point on the circle by rolling?

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