Math 123 Abstract Mathematics
2008 Fall

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:

Text Book:
The Elements of Advanced Mathematics, Second Edition, Steven G. Krantz,
Studies in Advanced Mathematics, Chapman & Hall/CRC, 2002.

Schedule:
TUE 13:40-15:30 SAZ01  
FRI 10:40-12:30 SAZ01  

Syllabus:

Week

Date

 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
  29 Sep    
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
  8 Dec    
12 15 Dec The Cantor set   Midterm Exam 7
13 22 Dec Groups 8
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  
Homeworks 15%      

 

Homework 1  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.