Ali Sinan Sertöz
Faculty of Science, Department of Mathematics, Room: SA-121
Office Hours: Wednesday 13:40-15:30
Assistant: Ali Adalı, Office: SA-144, Phone 290 2131, email:
The Elements of Advanced Mathematics, Second Edition, Steven G. Krantz,
Studies in Advanced Mathematics, Chapman & Hall/CRC, 2002.
|Subjects to be covered||Chapter|
|1||15 Sep||Basic Logic, AND, OR, NOT, IF-THEN||1|
|2||22 Sep||Quantifiers,Direct and indirect proof, Proof by induction||1,2|
|3||6 Oct||Set theory||3|
|4||13 Oct||Relations and functions||4|
|5||20 Oct||Cardinality Midterm Exam||4|
|6||27 Oct||Axioms of set theory||5|
|7||3 Nov||Paradoxes and rigour||5|
|8||10 Nov||Rationals and the reals||6|
|9||17 Nov||Non-standard number systems||6|
|10||24 Nov||Quaternions and the Cayley numbers||6|
|11||1 Dec||Topology on the reals||7|
|12||15 Dec||The Cantor set Midterm Exam||7|
|14||29 Dec||Euclidean geometry||8|
|15||5 Dec||Non-standard geometries||8|
Grading and Exams:
Homework problems will be assigned regularly.
You are encouraged to discuss solutions with your friends but you must write your homework yourself.
It is not acceptable to borrow your friend's written homework or for that matter to lend your written version.
Writing should be private.
However until the writing stage you may and in fact you should discuss solutions with your friends, and also with me.
|Midterm 1||25%||24 October 2008 Friday, SAZ01, 10:40||Solutions|
|Midterm 2||25%||19 December 2008 Friday, SAZ01, 10:40||Solutions|
|Final||35%||17 January 2009 Saturday, SAZ18, SAZ20, 10:00||Solutions|
Homework 2 Solutions
Homework 3 Solutions
All homeworks and solutions will be announced here in Acrobat format (pdf) for which you need to download Acrobat Reader if that is not already installed on your machine.