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Learning More by Solving Series of Problems

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. Find. Problem 4. Problem 3. Find. Problem 5. Find.

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Learning More by Solving Series of Problems

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

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

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

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

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

  6. Thank you for your activity

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