Instructor:
Steven Wepster (for email see bottom of page)
tel. 030253 1531.
Classroom:
Hans Freudenthal Building (formerly Wiskundegebouw)
Budapestlaan 6
6th floor room 611
Times:
Fridays, 14:15 to 16:00
Course description:
This course fits well in a Science & Education Master programme.
However, this is NOT a general introduction into the history of mathematics.
Participants investigate the emergence and the historical
context of a number of subjects that populate modern highschool
courses, such as: classical geometry, conics (synthetic as well
as analytical), algebraical notations, early developments towards
the calculus, the emergence of the function concept, analytic geometry.
Extra topics varying from year to year, e.g., fortification,
emergence of abstract algebra, spherical trigonometry.
A significant part of the course consists of excercises and assignments which have to be finished at home and/or with colleague students. At the end of the course, students write a paper on a research project. The best examples of projects designed in this course are collected on this page
Aims:
After the course, students have a general knowledge of the history of
the usual topics of highschool mathematics. Students are familiar with
different ways to incorporate history in mathematics education
and can identify pros and cons of using history in
mathematics education. Students are able
to find and use both primary and secondary sources. Students can
design an activity that incorporates historical components for the
learning of mathematics.
Prerequisites:
Mathematics at Bachelor level and some general knowledge of the
history of mathematics. The latter may be acquired by reading a
general history of mathematics textbook (for suggestions see
here)
and will be tested during the course. For those who fail the test there will
be extra remedial work to catch up.
Literature:
Students are required to have read a general introduction in the
History of Mathematics (see above for link to suggested reading).
We make use of a READER which is available for EUR10,.
Some necessary downloads are in this zipfile.
Credits:
6 ECTS.
Examination:
20% history test,
30% homework excercises,
50% research assignment.
Credits can only be awarded to participants who have attended all classes and score at least 5.5 on each of the examination categories.
A maximum of two absences is granted. Please send me an email in case you cannot attend class.
WARNING: PLAGIARISM 
All text handed in by the students, whether worked exercises, papers, or otherwise, must be the formulation of their own thoughts. It is NOT acceptable to copy text from other places (books, journals, the internet, etc.) except when such text is put between quotes and provided with an exact reference to the source. It is NOT acceptable to change some words and subsequently pretend that the text is your own work. Failure to give sufficient references to your sources is considered as plagiarism and will be reported to the Board of Examination which can impose severe sanctions. 
date  subject  excercise  remarks 
7 Feb 
General introduction  Hipparchos PLEASE COMMENT ON THESE COLLECTED RESULTS 

14 Feb  Euclid: geometric algebra  Euclid bk.II  
21 Feb  Four Milennia of Algebra Snippets  Snippets due next week. Ask hints when needed.  Preparation: read text of Hoyrup: Four Sides and the Area 
28 Feb  Conic Sections  Conics  Some nice classroom examples in reader: Jan van Maanen, "Alluvial Deposits..." 
7 Mar  Classroom examples  Eagle excercise  Eagle text 
14 Mar  Trigonometry (guest lecture by Viktor Blåsjö)  Excercise  Slides 
21 Mar  Circle Quadrature 
Cusanus  Prospectus Deadline 
28 Mar  Library START AT 14:00  Sources  Heidelberglaan 3, 6th floor 
4 Apr 
Roots and Logs  workshop, sine table, log sine table  
11 Apr  Mathematical Practitioners  Mathematical Practitioners  images 
25 Apr  No class meeting  
2 May  Roots  
9 May  Analytic Geometry  HISTORY TEST  
16 May  (pre) Calculus  7 minute student presentations  
23 May  Sundials?  7 minute student presentations  
20 June  No class, but feel free to drop into my office for handing things in, giving your feedback on the course, or just a cup of tea.  office = Freudenthal Building, 7th floor, 705 time = 15:00  17:00 
DEADLINE handin project 