Republic of the Philippines POLYTECHNIC UNIVERSITY OF THE PHILIPPINES Office of the Vice President for Branches and Campuses MARAGONDON BRANCH, ALFONSO CAMPUS, Cavite SEMA 30013: HISTORY OF MATHEMATICS NAME:___________________________ QUIZ #1 / BSE 2M Prof. CHERRY E. ANGELES/ 1st-sem 2021-2022 I. IDENTIFICATION: Write/type the correct answer on the space provided in each number. ______________ 1. It was the birthplace of writing, the wheel, agriculture, the arch, the plow, irrigation and many other innovations and is often called the Cradle of Civilization. _______________2. A pictographic writing system using wedge-shaped characters inscribed on baked clay tablets developed by Sumerians. _______________3. Sumerian and Babylonian mathematics was based on a system called ___________. _______________4. The smallest integer divisible by all integers from 1-6. _______________5. Members of the Pythagorean who extended and developed the more mathematical and scientific work that Pythagoras began. _______________6. The over-riding dictum of Pythagoras’ school. _______________7. The holiest number of all where a triangular number composed of the sum of one, two,three and four. _______________8. He discovered the existence of a whole new world of numbers, the irrational numbers. _______________9. A base 10 system developed in 450BC by Greeks. _______________10. A Greek mathematician who is considered to have been the first to lay down guidelines for the abstract development of geometry. _______________11. The oldest mathematical text from ancient Egypt discovered so far, which dates from the Egyptian Middle Kingdom around 2000 - 1800 BC. _______________12. Egyptian number system _______________13. It is one of the primary sources of Egyptian mathematics that contains over 80 problems and solutions as well as a table of decomposition of fractions of the form 2/n. _______________14. The clay tablet with catalogue number 322 that was scribed in the Old Babylonian period between 1900BC and 1600BC. _______________15. A great philosopher who is famous for paradoxes as that of Achilles and the Tortoise _______________16. Most famous for his prescient ideas about all matter being composed of tiny atoms, was also a pioneer of mathematics and geometry in the 5th - 4th Century BC. _______________17. He is credited with the first implementation of the “method of exhaustion” (later developed by Archimedes), an early method of integration by successive approximations which he used for the calculation of the volume of the pyramid and cone. _______________18. It is a lucid and comprehensive compilation and explanation of all the known mathematics of his time, including the work of Pythagoras, Hippocrates, Theudius, Theaetetus and Eudoxus _______________19. He wrote perhaps the most important and successful mathematical textbook of all time which represents the culmination of the mathematical revolution which had taken place in Greece up to that time. _______________20. He also wrote works on the division of geometrical figures into into parts in given ratios, on catoptrics (the mathematical theory of mirrors and reflection), and on spherical astronomy. II. ENUMERATION: List the answers by typing in the space provided (6) Prehistoric discoveries: 1. ________________________________ 4. ________________________________________ 2. ________________________________ 5. ________________________________________ 3. ________________________________ 6. ________________________________________
MIDTERM EXAM
Republic of the Philippines POLYTECHNIC UNIVERSITY OF THE PHILIPPINES Office of the Vice President for Branches and Campuses MARAGONDON BRANCH, ALFONSO CAMPUS, Cavite (5) Platonic Solids 7. _________________________________ 10. _______________________________________ 8. _________________________________ 11. _______________________________________ 9. _________________________________ (3) Three Classical Problems 12. ________________________________ 14. _______________________________________ 13. ________________________________ (6) Mathematicians who studied and taught at Alexandria 15. __________________________________ 18. _______________________________________ 16. __________________________________ 19. _______________________________________ 17. __________________________________ 20._______________________________________ III. MATCHING TYPE: Write only the letter that corresponds the correct answer of A from B. A B ______1. Arithmetica a. Hipparchus ______2. Elements b. Pythagoras ______3. Backgammon c. Heron ______4. From Samos d. Apollonius ______5. Intercept Theorem e. Diophantus ______6. Dichotomy f. Archimedes ______7. Academy g. Zeno ______8. Method of Exhaustion h. Aristotle ______9. Father of Algebra i. Babylonians ______10. Algorithm for prime numbers j. Erathostenes ______11.triangles with integer sides & area k. Euclid ______12. Sphaerica l. Menelaus ______13. Conics m. Thales ______14. Trigonometry n. Plato ______15. Croton ******************************** G O O D L U C K *************************************