Given once a week at 2011 Juniper Street, Philadelphia PA

Email ummaycoc@gmail.com for contact.

Usually held on Wednesdays at 8PM (Doesn't really get started till 8:30/9:00.

First bit of class is used for any recount of previous material that is requested.

Schedule:

- Introduction to Set Theory (Monday July 25th, 2005)
- Discrete Mathematics: Counting (Wednesday August 3rd, 2005)
- Introduction to Probability Theory (Wednesday August 10th, 2005)
- Proofs & Recursion (Wednesday August 31st, 2005)
- Introduction to Graph Theory (unknown)
- Analysis of the Real Line (unknown)
- Differentiation and Integration: Basic Calculus (unknown)
- Integration Theory (unknown)
- Abstract Algebra: Group Theory (unknown)
- Abstract Algebra: Rings & Fields (unknown)
- Point-set Topology (unknown)

This list is not exhaustive. i.e. there will be things taught other than what is currently listed (i.e. when I learn it or think of it). Some things, like Abstract Algebra, may be expanded across multiple classes.

Class notes and problems are given in PDF format. Windows users can download a free reader from Adobe called Adobe Acrobat which can be downloaded here.

Date |
Class |
Topics |
Remarks |

July 25th, 2005 | Introduction to Set Theory |
Definitions & Standard Notations
Operations on Sets Relations & Functions Cardinality: Finite & Infinte Sets |
Class notes are available here in PDF format. |

August 3rd, 2005 | Counting |
Pigeon Hole Principle
Variations Permutations Variations Combinations |
Class notes are available here in PDF
format. The notes contain two problems, one which I would think
is not trivial at this point in the learning. More problems will
be put into all the notes as I come up with more. Note -- notes do not yet have web links embedded. (Done soon) |