Math 406 History of Calculus-G13


Time/Location: MWF, 3-3.50 pm, Altgeld 341

Instructor: Marius Junge, Altgeld  363,  Office hour, Thuessday 5-6 pm.

Text: Edwards,  The Historical Development of the Calculus, Springer Verlag

Topics


1. Early Greek  Math


2. Archimedes


3. The Dark Age and the Arab contribution


4. Tangent Constructions


5. Arithemtic of the Infinite


6. Newton


7. Leibniz


8.
Euler

and more -depending on time


 





This is a math course!

There is a lot to learn and sicover in this class. But make no mistakes, were are not just reviewing history.  The main intentions is to understand the math behind the sophisticated arguments which eventually lead to what is now caled calculus. You  will also see that even some of the form and examples taight today have historical roots.

There will be a distinctive active learning component in this class-essentailly every Friday you will work on some problems in groups, and
this work has to be prepared in advance.



Grading:  Three Midterms (51% each),  Homework (19%),  Final (30%)
(submission in pairs-to practice team work-every Wednesday)

Course hotline (email to students and instructor):  Share your questions on homework, course material,  homework problems will only be
discussed after explicit request.



1 Midterm: September 25, 2 Midterm October 24, 3 Midterm  November 22


Links and material


1)

Ancient Mathematics  Egyptian,
egyptian volume calculations,
Overview greek mathematician, summary Babylonian mathBabylonian square root
 

2)  Euclid's elements


3) Cubic roots: 
http://en.wikipedia.org/wiki/Cubic_equation


hw1,

some sol1,


work1

pb1

pb2

pb3

pb4


hw2,

solution

work2

work2a,
work2b

hw3,

work3

Prop17

hw4,

estimate for sphere


errorestimate

solutionhw4

exam1-solution

hw5,

greekdecline

hw6,

solutionProblem2ofhw6

hw7,

Joyce's notes

A rigourous version of Cavaierlieri's calculus

More practice problems

Fermats trinagular numbers

Practice problems-solutions

hw7sol

hw7sol

exam2sol

hw8, hw9,  hw10 , hw11hw12hw13,  hw14,  hw15, hw16,

Quiz: Friday November 20 (comments)


Presentations

topiclist

Joyce' presentation

Heidi and Alex' presentation

Courses webpage
Department of Mathematics