Introduction to Modern Mathematics

What 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

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