Sunday, March 15, 2015

Pascal + 6.7 + 6.8

 Pascal, mathematician and Christian philosopher.  I'm encouraged to see brilliant, intelligent man who put their faith in Jesus Christ.

http://en.wikipedia.org/wiki/Blaise_Pascal

Blaise Pascal (French: [blɛz paskal]; 19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, writer andChristian philosopher. He was a child prodigy who was educated by his father, a tax collector in Rouen. Pascal's earliest work was in the natural and applied sciences where he made important contributions to the study of fluids, and clarified the concepts ofpressure and vacuum by generalizing the work of Evangelista Torricelli. Pascal also wrote in defense of the scientific method.

In 1642, while still a teenager, he started some pioneering work on calculating machines. After three years of effort and fifty prototypes,[1] he invented the mechanical calculator.[2][3] He built 20 of these machines (called Pascal's calculators and later Pascalines) in the following ten years.[4] Pascal was an important mathematician, helping create two major new areas of research: he wrote a significant treatise on the subject of projective geometry at the age of 16, and later corresponded with Pierre de Fermat on probability theory, strongly influencing the development of modern economics and social science. Following Galileo and Torricelli, in 1646 he refuted Aristotle's followers who insisted that nature abhors a vacuum. Pascal's results caused many disputes before being accepted.

In 1646, he and his sister Jacqueline identified with the religious movement within Catholicism known by its detractors asJansenism.[5] His father died in 1651. Following a religious experience in late 1654, he began writing influential works on philosophy and theology. His two most famous works date from this period: the Lettres provinciales and the Pensées, the former set in the conflict between Jansenists and Jesuits. In that year, he also wrote an important treatise on the arithmetical triangle. Between 1658 and 1659 he wrote on the cycloid and its use in calculating the volume of solids.

 

 

Blog.

 

Lesson 6.7

A.      Using permutations http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-582s.html

B.      Evaluating combinations http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-583s.html

 

Lesson 6.8

A.      Pascal's Triangle  http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-584s.html

B.      Using Pascal's Triangle with coefficient greater than 1. http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-585s.html

C.      The binomial theorem http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-586s.html

D.      Using the binomial theorem to solve probability problems. http://www.phschool.com/atschool/academy123/english/academy123_content/wl-book-demo/ph-587s.html

 

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