Casa Bonita

my reactions to events happening around me. and some useful information about computer science.

Thursday, July 26, 2007

Mathematics for Computer Science


These are some resources from different universities about Dicrete Math.










Aduni University (with lecture videos)

A basic introduction to Calculus and Linear Algebra. The goal is to make students mathematically literate in preparation for studying a scientific/engineering discipline. The first week covers differential calculus: graphing functions, limits, derivatives, and applying differentiation to real-world problems, such as maximization and rates of change. The second week covers integral calculus: sums, integration, areas under curves and computing volumes. This is not meant to be a comprehensive calculus course, but rather an introduction to the fundamental concepts. The third and fourth weeks introduce some basic linear algebra: vector spaces, linear transformations, matrices, matrix operations, and diagonalization. The emphasis will be on using the results, not on their proofs.


MIT University

Fundamental concepts of Mathematics: definitions, proofs, sets, functions, relations. Discrete structures: modular arithmetic, graphs, state machines, counting. Discrete probability theory.
(including problem sets,solved in class solutions , old midterm questions and quizzes)



Princeton University

The fundamental mathematical foundations required for computer science. Topics: propositional and predicate logic, proof techniques, induction, recursion, combinatorics, and functions.

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