THE COURSE WILL BE ONLINE THIS TERM. FOLLOW THE LECTURES ON THE SAKAI SYSTEM: https://online.deu.edu.tr/
This web page is not updated frequently, follow the course in the Sakai system!
The documents, homeworks etc. for the course that we have given/assigned are the below files ordered by date.
First lecture: Main aim is problem solving! Discussion on problem solving.
Some Problems in the High School Level to Develop The Joy of Problem Solving
(and its Turkish translation: Problem Çözme Zevki̇ni̇ Geli̇şti̇rmek İçi̇n Li̇se Sevi̇yesi̇nde Bazı Problemler)
First lecture: Main aim is problem solving! The above problems are from the following wonderful book which you shall read to develop your problem solving skills:
Polya, G. How to Solve It. A new aspect of mathematical method. Expanded version of the 1988 edition, with a new foreword by John H. Conway. Princeton University Press, 2004.
Turkish translation: George Polya. Nasıl Çözmeli. Tübitak Yayınları, 2019.
From the foreword to this book by John H. Conway: "How to Solve It is a wonderful book! This I realized when I first read right through it as a student many years ago, but it has taken me a long time to appreciate just how wonderful it is. Why is that? One part of the answer is that the book is unique. In all my years as a student and teacher, I have never seen another that lives up to George Polya's title by teaching you how to go about solving problems."
In this book, Polya gives the following list to solve problems and explores this to explain how to develope the heuristic to solve problems:
Polya's "How to Solve It" List
Lecture Notes through Problems 1
See also the following lecture notes (presentations) that is prepared using your textbook:
Presentation 1 - Permutations, combinations; Binomial and Multinomial Theorems
Presentation 2 - Combinations with repetition; Compositions of a positive integer
Presentation 3 - Catalan Numbers and Review of Fundamental Principles of Counting
Presentation 4 - The Pigeonhole Principle; Compositions of a positive integer;Binomial identities
Presentation 5 - The Principle of Inclusion and Exclusion; The Number of Onto Functions; Stirling Numbers of the Second Kind
Presentation 6 - Review of Induction (Induction is a very important tool that we use to prove many results. For a review of induction that you have already seen in your other courses, you may use that review)
Distribution of Objects into Containers
THIS WEB PAGE IS NOT UPDATED FREQUENTLY. FOLLOW THE ONLINE LECTURES AND MATERIALS IN THE ONLINE EDUCATION SYSTEM OF DEU USING SAKAI, you you will find lecture recordings and some supporting videos for these topics there: