Week  Topics  Study Materials  Materials 
1 
Symbolic Logic. Logical Operations.


S. Galovich, An Introduction to Mathematical Structures , 1989.

2 
Quantifiers, Demaorgan's Law


S. Galovich, An Introduction to Mathematical Structures , 1989.

3 
Proof Techniques


S. Galovich, An Introduction to Mathematical Structures , 1989.

4 
Proof Techniques


S. Galovich, An Introduction to Mathematical Structures , 1989.

5 
Sets and set operations


S. Galovich, An Introduction to Mathematical Structures , 1989.

6 
Relations. Equivalence relations. Partitions


S. Galovich, An Introduction to Mathematical Structures , 1989.

7 
Ordered sets, partial ordering, total ordering.


S. Galovich, An Introduction to Mathematical Structures , 1989.

8 
Functions.


S. Galovich, An Introduction to Mathematical Structures , 1989.

9 
Injective, surjective and bijective functions. Composition of functions.


S. Galovich, An Introduction to Mathematical Structures , 1989.

10 
Image an inverse image of a function.


S. Galovich, An Introduction to Mathematical Structures , 1989.

11 
Cardinality, countability.


S. Galovich, An Introduction to Mathematical Structures , 1989.

12 
WellOrdering principle. Zorn's Lemma. Axion of Choice.


S. Galovich, An Introduction to Mathematical Structures , 1989.

13 
Induction principle and its applications.


S. Galovich, An Introduction to Mathematical Structures , 1989.

14 
Basic algebraic structures: Binary operations, groups, rings, fields.


S. Galovich, An Introduction to Mathematical Structures , 1989.

15 
Final Exam


S. Galovich, An Introduction to Mathematical Structures , 1989.
