IMM
Introduction to Modern MathematicsWhat to expect ?
Ordered sets, Functions, Equipollence relation and cardinals
For example.
- Prove, that =< is partial order. Draw a Hasse diagram of P. Find minimal, maximal, largest, smallest elements if they exist in P.
- Find sup and inf for all pairs of elements of P.
- Is relations f a function? Is it one-to-one function? Explain your answer.
- Find f(A) and f^{-1}(f(A))
- Prove by definition, that the following pairs consist of equipollent sets
- What is the cardinality of the following sets (and why)?
Test 25.11.2009
Consultations 24.11.2009 10.10 room 228.
Preparing to the test take special attention to tasks: 1.3, 1.4, 1.8, 1.9, 2.7, 2.9, 3.1, 3.2, 3.3, 4.1, 4.3.
Test from previous year 2008
Subject descroption http://www.mini.pw.edu.pl/~tomtracz/itmm/itmm.html
Imm1 - Logic
Imm2 - Sets
Imm3 - Unions and intersections of families of sets
Imm4 - Relations
IMM5 - Ordered sets
IMM6 - Functions
IMM7 - Equipollence relation and cardinals
IMM8 - Induction
IMM9 - Metric spaces