Egypt:
- Number system base 10
- Used doubling, unit fractions and 2/3
- linear & quadratic equations through false position
- pi=3.160493827
*Pertinent assignments
- Midterm
- Chapter 1 HW
Babylonians/Mesopotamia:
- Sexadecimal system(base 60)
- diameter=1/3(circumference), area= 1/12(circumference)^2
- barge area=1/72(circumference)^2, bulls eye area= 1/32 (circumference)^2
- Pythagorean triples
- False position
- Quadratic formula
*Pertinent assignments
- Library Assignment 2
- Midterm
- Cultural Essay 2
Greek:
- Pythagoras-theorem, etc.
- Squaring Circle, Doubling Cube, Trisecting general angle
- Hippocrates
- Aristotle-symbols
- Euclid-The Elements, triangle, geometry polygons, pi
- Method of Exhaustion
- Theaetetus
- Archimedes-the method, three propositions for circle(pi), spirals, induction
- Apollonius-conics
- Eratosthesus
- Hipparchus
- Ptolemy-Mathematical Collection, cords, etc
- Diophantus-Arithmetica
- Pappus
- Hypatia
*Pertinent assignments
- Library Assignment 2
- Midterm
- Cultural Essay 5
- Chapter 2 HW
- Cultural Essay 3
- Cultural Essay 6
- Cultural Essay 4
- Library Assignment 2 (Leonardo de Pisa)
- Chapter 3 HW
Chinese:
- Arithmetical Classic…, The Nine Chapters(right triangle, linear eq.,binomial coeff., geometry
- Liu Hui
- Gnomons (square roots)
- Zu Chang Zhi
- Jia Xian-polynomial division
- Marco Polo
- Modular Congruence
- Remainder Theorem
*Pertinent Assignments
- Cultural Essay 7
- Midterm
- Chapter 5 HW
India:
- Vedas
- Alexander the Great
- Hindu numerals
- Brahmagupta-Correct Astronomical System of Brahm”
- The Indian Mathematics
- Bhaskara
- Combinatorics
- Half cord for trig
*Pertinent Assignments
- Midterm
- Chapter 6 HW
Islam
- No decimals, number system ten, fractions
- Al-Khwazarzini-algebra
- Omar Al-Khayyan
- Combinatorics
- Ahmal ab’du I’n Mun’im
- Al-Biruni
- Al-Kashi
*Pertinent Assignments
- Chapter 7 HW