Hülya Yavuz

Mathematics I

Hülya Yavuz

Departmant of Computer Technology and Programing


Course Outline

Week Topics to be covered
1 Introduction of the course and sets
2 Sets
3 Relations: Diagraph, properties of relations
4

Functions: Domain, range, properties, special functions

Quiz I

5 Logic: Propositions, Logical connectives, compound statements, truth tables.
6 Tautologies and reasoning, contradictions, quantifiers
7 MIDTERM EXAMINATION
8 Basic proof techniques, Induction and recursion, pegionhole principle
9 Percentages
10 Number Bases: Demical, binary, octal and hexademical conversions
11 Boolean Algebra: Basic theorems and properties, Boolean functions
12

Canonical and standard forms, digital lagic gates

MIDTERM EXAMINATION

13 The Karnaugh map method, two and three variable maps, four, five and six variable maps.
14 Product of sums simplification, dont care conditions
15 General Review