- #1
john Snow
- 1
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goging back to university this year and been a while since i was a school so i need to brush up on my maths skills before. was decent at maths at school basically average the program I am going to study includes a course in IT Mathematics. What books do you guys recommend i should be reading before hand?
below is what is going to be covered
Set Theory/Logic.
Sets, relations, equivalence relations and partitions, partial ordering, inverse relations, composition of relations, applications of relations to databases, predicate logic as a language, methods of proof, mathematical induction. Boolean algebra, equivalent boolean expressions..
Probability.
Basic probability to iclude axioms, independent events, conditional probability and some probabilty distributions..
Functions.
Functions as a special case of relations, Injective, surjective and bijective functions, one-sided inverses, inverse functions, polynomials and the remainder theorem. Domain and range of functions. Inequalities..
Limits & Continuity.
Simple finite and infinite limits. Simple tests to establish if piecewise-defined functions are continuous..
Calculus.
Techniques of differentiation (first principles, product, quotient and chain rules) and integration (substitution and integration-by-parts). Curve sketching, optimisation and area under the curve applications..
below is what is going to be covered
Set Theory/Logic.
Sets, relations, equivalence relations and partitions, partial ordering, inverse relations, composition of relations, applications of relations to databases, predicate logic as a language, methods of proof, mathematical induction. Boolean algebra, equivalent boolean expressions..
Probability.
Basic probability to iclude axioms, independent events, conditional probability and some probabilty distributions..
Functions.
Functions as a special case of relations, Injective, surjective and bijective functions, one-sided inverses, inverse functions, polynomials and the remainder theorem. Domain and range of functions. Inequalities..
Limits & Continuity.
Simple finite and infinite limits. Simple tests to establish if piecewise-defined functions are continuous..
Calculus.
Techniques of differentiation (first principles, product, quotient and chain rules) and integration (substitution and integration-by-parts). Curve sketching, optimisation and area under the curve applications..