The History Of Mathematics: Number Systems
Read Chapter 1 and answer the following questions (when you read, you may skip most of the math examples which will be explained in the videos posted under MP1, and focus on the history part). Page numbers are indicated to help you locate the answers.
1. (2pts) Describe three different ways of tallying before the number systems were invented (pages 1-6). Minimum 100 words.
2. (1.5pts) Describe Mayan number system (must indicate the symbols used, the base, and whether it is a positional system; pages 7-8). Minimum 75 words.
3. (1.5pts) Describe Egyptian number system (must indicate the symbols used, the base, and whether it is a positional system; pages 11-13 and 15-16). Minimum 75 words.
4. (1.5pts) Describe Greek number system (must indicate the symbols used and whether it is a positional system; pages 16-18). Minimum 75 words.
5. (2pts) Describe Babylonian number system (must indicate the symbols used, the base, and whether it is a positional system; pages 23-26). Minimum 100 words.
6. (1.5pt) Describe Chinese number system (must indicate whether it is a positional system; pages 26-28). Minimum 75 words.
Read Chapter 2 (You may skip the solutions of the math problems in the reading because most of them are explained in the video lectures for MP2s. )
1. (2pts) Describe Egyptians' knowledge of Arithmetics(must include: what Arithmetical problems they could solve, Arithmetical skills they had and whether they knew operations of fractions; pages 37-43). Minimum 100 words.
2. (1pt) Describe Egyptians' knowledge of Algebra (must include: what kind of Algebraic problems they solved or what method they used to solve these problems; pages 46=48). Minimum 50 words.
3. (2pts) Describe Egyptians' knowledge of Geometry (must include: what geometrical formulas they had; pages 53-61) . Minimum 100 words.
4. (2pts) Describe Babylonians' knowledge of Arithmetics (must include: what Arithmetical problems they could solve, Arithmetical skills they had and whether they knew operations of fractions; pages 62-64) . Minimum 100 words.
5. (1pt) Describe Babylonians' knowledge of Algebra (must include: what kind of Algebraic problems they solved or what method they used to solve these problems; pages 64-70) . Minimum 50 words.
6. (2pts) Describe Babylonians' knowledge of Geometry (must include: whether they were aware of the Pythagorean Theorem; pages 72-79). Minimum 80 words.
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