I agree, statisticis is in my expreience just the synthesis of the results given by probability. Markov chains, as far as I know, have been discredited due to what is essentially abuse by statisticians, that did not understand the underlying assumptions that allowed processes to be modeled with Markov Chains(and since these are matrices, you get linear algebra).
The most important ability that should come from some math course, is the axiomatic approach to generating a model. If anyone, it is CS people that should have a good understanding of relations, equivalence classes, sets and functions. CS is made of the same basic structures and basic relations as mathematics, so a rigorous understanding is definitely helpful.
Mutli-variable calculus, linear algebra, they are usefull in essentially anything modeling the real world in human-readable form (graphics, sound, forces, whatever). It is also essential for optimizing code, algorithms, etc. It is sad, however, that in this day optimization is largely neglected.
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I agree, statisticis is in my expreience just the synthesis of the results given by probability. Markov chains, as far as I know, have been discredited due to what is essentially abuse by statisticians, that did not understand the underlying assumptions that allowed processes to be modeled with Markov Chains(and since these are matrices, you get linear algebra). The most important ability that should come from some math course, is the axiomatic approach to generating a model. If anyone, it is CS people that should have a good understanding of relations, equivalence classes, sets and functions. CS is made of the same basic structures and basic relations as mathematics, so a rigorous understanding is definitely helpful. Mutli-variable calculus, linear algebra, they are usefull in essentially anything modeling the real world in human-readable form (graphics, sound, forces, whatever). It is also essential for optimizing code, algorithms, etc. It is sad, however, that in this day optimization is largely neglected.