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Here are some topics suggested by your teacher:

• History of perfect numbers from Euclid to the day before yesterday

• The influence of social needs on the uses of mathematics

• History of the binomial theorem

• The quadratic equation

• An insight into Islamic mathematics

• Goldbach and his famous conjecture

• The history of logarithms and logarithm tables

• Geometrical mathematical recreations

• Prime numbers

• The history of trigonometry

• Charles Babbage and his engines

• Some revolutionary curves

• Angle trisection

• Relationship of mathematics to music

• Comparison of algebra texts from 1900 to today

• American mathematics prior to 1875

• How our view of the early history of mathematics has changed in the last 100 years

• The dark ages were dark for mathematics, too

• Is mathematics discovered or invented?

• How new was the new math?

• Female mathematicians in history

• The books that most changed our present geometry texts

• The remarkable Bernoulli family

• The rise of periodical literature and how it affected mathematics

• The changing nature of function

• The calculus priority dispute

• The history of linear programming

• Quality control, with emphasis on control charts

• The role of cryptology in World War II

• Navigation and mathematics

• The Platonic solids

• Mathematics and the early Rabbis

• History of Hindu mathematics

• The history of pi