# Department of Mathematics Syllabus

This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.

**Approved:**2010-03-01 (revised 2013-07-01, )

**Suggested Textbook:**(actual textbook varies by instructor; check your instructor)

Search by ISBN on Amazon: 978-0321387004

**Prerequisites:**

**Suggested Schedule:**

Lecture(s) |
Sections |
Comments/Topics |

1 |
1.1 |
Egypt |

2, 3 |
1.2 |
Mesopotamia |

4 |
2.1, 2.2 |
Earliest Greek Mathematics, The Time of Plato |

5 |
2.3 |
Aristotle |

6, 7, 8 |
3.1 – 3.7 |
Euclid and The Elements |

9, 10 |
4.1, 4.2 |
Archimedes and Physics, Numerical Calculations |

11 |
5.1 |
Astronomy Before Ptolemy |

12 |
5.2 |
Ptolemy and The Almagest |

13 |
5.3 |
Practical Mathematics in Hellenistic Times |

14 |
6.1, 6.2, 6.4 |
Nichomachus, Diophantus, and Hypatia; the End of Greek Mathematics |

15 |
7 |
Mathematics of Ancient and Medieval China |

16 |
8 |
Mathematics of Ancient and Medieval India |

17 |
9.1, 9.2, 9.3 |
Mathematics of Islam – Decimal Arithmetic, Algebra |

18 |
10.1, 10.2 |
Mathematics of Medieval Europe |

19 |
11.1, 11.2 |
Mathematics Around the World at the Turn of the Fourteenth Century |

20 |
12.1, 12.4, 13.1-13.3 |
Mathematical Methods in the Renaissance |

21 |
13.4, 16.1 |
Logarithms, Isaac Newton |

22 |
16.1 |
Isaac Newton |

23 |
16.2 |
Gottfried Wilhelm Leibniz |

24 |
17.4 |
The Foundations of Calculus |

25 |
22.1 |
Rigor in Analysis |

26 |
25.1 |
Set Theory: Problems and Paradoxes |

**Learning Goals:**

Students also will learn about life and accomplishments of many of the great mathematicians, from Thales, Euclid, Archimedes, Al-Khowrizmi, Euler, Gauss, Newton, Leibniz and many others.

This course is an introduction to history of mathematics and designed to help mathematics majors and in particular those students interested in teaching be familiar with basic development of ideas in mathematics. Mastery of this course enhances students writing skills, analytic and problem solving skills and it enhances the communication skills of the students and their well-organized scientific thinking process.

**Assessment:**