MATH32091 (previously MATH39001), Combinatorics and Graph Theory

Here is the syllabus.

Notes

Here is the link to the textbook for the second half of the course: generatingfunctionology.

Useful links

There are HELM (Helping Engineers Learn Mathematics) modules covering partial fractions, 1st order ODE's and 2nd order ODE's, which you may find useful if your knowledge of calculus has become a bit rusty.

66 combinatorial problems involving the Catalan numbers and 141 more

Squared squares and rectangles:
http://en.wikipedia.org/wiki/Squaring_the_square,
http://karlscherer.com/prosqtsq.html,
http://karlscherer.com/prosqtre.html,
http://www.squaring.net/index.html,
Numberphile video about squaring the square and some extra footage.

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