COURSE DETAIL
COURSE DETAIL
This course introduces mathematical tools required in the study of computer science. Topics include: Logic and proof techniques: propositions, conditionals, quantifications; relations and functions: equivalence relations and partitions; partially ordered sets; Well-Ordering Principle; function equality; Boolean, identity, inverse functions; Bijection; mathematical formulation of data models (linear model, trees, graphs); counting and combinatoric: Pigeonhole Principle, Inclusion-Exclusion Principle; number of relations on a set, number of injections from one finite set to another, diagonalisation proof: An infinite countable set has an uncountable power set; Algorithmic proof: An infinite set has a countably infinite subset; subsets of countable sets are countable.
COURSE DETAIL
COURSE DETAIL
COURSE DETAIL
COURSE DETAIL
COURSE DETAIL
COURSE DETAIL
COURSE DETAIL
COURSE DETAIL
Humans have always actively borrowed from other cultures. Such borrowing is a creative process which influences aspects of life ranging from basic material needs to aesthetic appreciation. Often, however, cultural borrowing is labelled as simple imitation. This results in cultural stereotypes that impede understanding of other cultures. Using Chinese and Japanese cultural borrowings as illustration, this course teaches how to analyze the creative process of cultural exchange. By developing theoretical perspectives from the study of China and Japan, the course teaches about exchanges among culture in general.
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