LECTURE   NOTES

 

The most important thing, that should be kept in mind that, these notes are just to help you -Math 110 students- to understand the subject in class. These are my own notes, so they may contain errors, misprints, informal notations, and may not contain all the examples covered in class. Thus, I am not responsible for those errors. If you have some doubts, please let me know.

If you submit your opinions and give us some feedback, I can improve/change/modify the content of the page.

Finally, I am trying my best. I hope you will do the same... ;)

        Week 1:   Set Theory

        Week 2:   Propositions. Mathematical Induction

        Week 3:   Methods of Proof. Combinations. Permutations

             Week 4:   Repetitions. Discrete Probability. Binary relations

              Week 5:   Equivalence relations and Partitions.

          Week 6:   Partial Ordering Relations.

          Week 7:   Lattices. Functions. The Pigeonhole Principle

           Week 8 Graphs

           Week 9 Weighted Graphs

           Week 10 Euler trails and circuits. Hamiltonian paths and cycles.

                 Week 11  Hamiltonian paths and cycles(continuation)

                                     Week 12:   Trees. Groups

                        Week 13:   Subgroups. Homomorphisms

                        Week 14:   Isomorphisms. Lagrange's Theorem