Math 473 – History of Mathematics – Spring 2017



Lecture room: EDUC SCI 212
Lecture time: TueThu 2:30-3:45

 

Lecturer: Gheorghe Craciun
Office: 405 Van Vleck

Tel. (608) 265-3391
E-mail: craciun at math dot wisc dot edu
Office hours: Wednesdays 12-1:15pm.

 

Main textbook:

Mathematics and Its History, by John Stillwell.

Other recommended books:

Mathematics in Western Culture,  by Morris Kline.

The History of Mathematics: An Introduction, by David Burton.

A History of Mathematics, by Carl Boyer and Uta Merzbach.

Proofs from THE BOOK, by Martin Aigner and Günter M. Ziegler.

Proofs without Words: Exercises in Visual Thinking, by Roger B. Nelsen.

 

 

Online resources:

The Story of Mathematics http://www.storyofmathematics.com/sources.html

MacTutor History of Mathematics archive http://www-history.mcs.st-and.ac.uk

History of Mathematics in 50 Minutes https://www.youtube.com/watch?v=YsEcpS-hyXw

The History of Mathematics by G. Donald Allen http://www.math.tamu.edu/~dallen/masters/hist_frame.htm

 

Course Content: This course is intended for students with an interest in mathematics as a discipline/field of study, its history, its people, important developments, different schools of thought, and its contributions to different areas of society.


Prerequisites: An introductory course in analytic geometry and calculus is required. In addition, a linear algebra course is strongly recommended.

 

Grading:
Homework and class participation (including class projects) : 33%
Midterm exam: 33%
Final exam: 33%

 

 

 

You can sign up for the PIAZZA webpage for this class here: http://www.piazza.com/wisc/spring2017/math473

 

 

 

Homework #1:

1.    Before each class read the next textbook section and do any other reading assigned in the previous class.

2.    Solve and hand in solutions to all the Exercises in Chapter 1 of the Stillwell textbook (due Thursday Jan 26, just before class).  Solutions to problems where “computer assistance is recommended” (such as 1.2.1 and 1.2.2) are encouraged, but not required. 

 

Some youtube videos related to the Pythagorean Theorem:

https://www.youtube.com/watch?v=RksVPKaJU00

https://www.youtube.com/watch?v=NSd4A4Qqh50

https://www.youtube.com/watch?v=pDdQB-pUH9c

Vi Hart: https://www.youtube.com/watch?v=X1E7I7_r3Cw

 

 

Homework #2:

1.    Before each class read the next textbook section and do any other reading assigned in the previous class.

2.    Solve and hand in solutions to Exercises 2.1.1, 2.1.2, 2.2.1, 2.2.2, 2.2.3, 2.2.8, 2.2.9, 2.3.1, 2.3.2, 2.3.3, 2.3.4, 2.4.1, 2.4.2, 2.4.3, 2.4.4, 2.5.1, 2.5.2 in Chapter 2 of the Stillwell textbook (due Thursday Feb 2, Tuesday Feb 7 just before class). 

 

 

 

Future Homework assignments are available on the PIAZZA webpage.  (For example,  Homework #3 was already uploaded on PIAZZA.)