Are there any algorithms for resource scheduling of courses-teachers-classes?

I’m developing an application to help school principals in dedicating teachers to classes and courses over the hours of a week (scheduling). The scenario is roughly something like this:

Scale an image with unscalable parts

Brief description of problem: imagine having some vector picture(s) and text annotations on the sides outside of the picture(s).

How do I express subtle relationships in my data?

“A” is related to “B” and “C”. How do I show that “B” and “C” might, by this context, be related as well?

C# Algorithms for * Operator

I was reading up on Algorithms and came across the Karatsuba multiplication algorithm and a little wiki-ing led to the Schonhage-Strassen and Furer algorithms for multiplication.

Computer vision algorithms (how is this possible?)

I recently stumbled across a company that has created what appears to be a computer vision technology that is capable of detecting shoplifting automatically and alert its users.

Sublinear Extra Space MergeSort

I am reviewing basic algorithms from a book called Algorithms by Robert Sedgewick, and I came across a problem in MergeSort that I am, sad to say, having difficulty solving. The problem is below:

How to test if a hashing algorithm is good? [duplicate]

Possible Duplicate:
Which hashing algorithm is best for uniqueness and speed?

Chambers In A Castle Algorithm

Problem Statement –

Labeling algorithm for points

I need an algorithm to place horizontal text labels for multiple series of points on the screen (basically I need to show timestamps and other information for a history of moving objects on a map; in general there are multiple data points per object). The text labels should appear close to their points–above, below, or on the right side–but should not overlap other points or text labels.

Matrix Pattern Recognition Algorithm

I am designing a logic analyzer and I would like to implement some Matrix Algorithm.
I have several channels each one represented by a row in the matrix and every element in the column would be the state, for example: