Poster

MATH BC2006
Combinatorics
Spring 2016


http://www.math.columbia.edu/~bayer/S16/Combinatorics


Tuesdays and Thursdays, 10:10am - 11:25am
237 Milbank Hall (Barnard)

Dave Bayer
Office Hours
bayer@math.columbia.edu
426 Mathematics

Directory of Classes | Spring 2016 Mathematics | MATH BC2006


Content

This is an introductory course in combinatorics, with a focus on counting problems. As there are many methods that have been developed in calculus and analysis for measuring continuous quantities, there are also many methods that have been developed in combinatorics for counting finite sets. We will survey these methods, with a focus on problem solving.


Exams

Including our final, there will be a total of three exams:

Please discuss other conflicts with me in advance of the exam in question. Missed exams will become grades of zero.

Barnard Final Examinations, Spring 2016
Master University Examination Schedule
University Academic Calendar
Columbia Disability Form
Religious Holidays


Preparation for Exams

The following pages are study guides for each exam.


Blackboards

The following are a few blackboards that we decided to save between classes:


Textbooks

Our textbooks are available freely online to Columbia University affiliates, through SpringerLink.

These books overlap in content, with varying styles and levels. As we study each topic, please work with the book(s) that you prefer.

The following books are good to read from the beginning, matching fairly well the material that we will cover in class. Go back and forth, or stick with the book that you prefer:

The following is a great topics book. We are likely to study a few sections from this book, later in the course:

The following are also of interest, but don’t match our syllabus as closely:

For reference and the curious, here is the definitive graduate text on enumeration:

I found this text after teaching this course; it looks like a good choice for future semesters:


Previous semesters


Calendar

This calendar gives our schedule of classes and exams:

Monday Tuesday Wednesday Thursday Friday
18 Jan 19 20 21 22
25 Jan 26 27 28 29
1 Feb 2 3 4 5
8 Feb 9 10 11 12
15 Feb 16   Exam 1    17 18 19
22 Feb 23 24 25 26
29 Feb 1 Mar 2 3 4
7 Mar 8 9 10 11
14 Mar 15 16 17 18
21 Mar 22 23 24 25
28 Mar 29   Exam 2    30 31 1 Apr
4 Apr 5 6 7 8
11 Apr 12 13 14 15
18 Apr 19 20 21 22
25 Apr 26 27 28 29
2 May 3 4 5 6
9 May 10   Final    11 12 13

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