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Unformatted text preview: T H E M EC HAN ICAL U N I V ERSE Name: Mai Nguyen Video 7. I n tegration Class: P HY2425.1P1 1. What mathematical tool did Isaac Newton invent? Calculus 2. For what is Leibnitz best remembered? Calculus 3. What does "geometry" mean in Greek? Land measurement 4. What is the "method of exhaustion" used to calculate? Putting in polygons to estimate the area of a circle. 5. How did Kepler help mathematics? Computed the areas and volume of very many shapes 6. Who invented the "method of f luxions?" Newton 7. What is the method of f luxions called today? The derivative 8. How long did Newton keep his Calculus to himself? 30 years 9. At what age did Newton die? 85 10. What does the integral sign mean in Latin? Sum 11. Describe the relationship between differentiation and integration: In tegration is the antiderivative. They are inverse processes. 12. Describe the Fundamental Theorem of Calculus: First Fundamental Theorem of Calculus, shows that an indefinite integration can be reversed by a differentiation. The Second Fundamental Theorem of Calculus, allows one to compute the definite integral of a function by using any one of its infinitely many antiderivatives 13. Whose calculus notation was better, that of Newton or Leibnitz? Leibnitz ...
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- Spring '08