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Wednesday, 2 September 2015

Online Math Tuition Ireland

Online Math Tuition Ireland

Online Math Tuition Ireland, Math tutors Ireland Math teachers, B. Sc. Math tuition Ireland, online Math tuition, online Math tutors.

Mathematics tutors available for all classes like A level Mathematics, O level Math tuition, Science, B.Sc, M.Sc. Math, Edexcel Mathematics, Ireland Math tutors, O and A level math tuition, I.B. math teachers, online Math tutors, online B. Sc. Math, crash B. Sc. Math classes, AS level Math tutor, O level Mathematics tutors available, Online B.Sc Mathematics, Math tutoring, Online Mathematics teachers for A.Q.A., Math tutoring BA, Online Tuition B.Sc math, B.com Mathematics, B.Sc. Mathematics, MA Mathematics, A.C.C.A., Mathematics,  C.A. Mathematics, M.Sc. Mathematics etc.,

We cover the following Algebra B. Sc. syllabus during classes:

Number System: Real and complex number system, Demoivres theorem with applications, exponential, trigonometric, hyperbolic, logarithmic, inverse hyperbolic and inverse circular functions.

Infinite Series: Sequences, limits and bounds of sequences, infinite series, comparison test, limit comparison test, integral; ratio and root tests. Alternating series, absolute and conditional convergence.

Set Theory: Binary relation, functions and their graphs, composition of functions.

Group Theory: Groups and their properties, subgroups, order of groups, cyclic groups, co sets, lagrange's theorem, permutation groups. Rings, fields, vector spaces, sub spaces, linear combinations and spanning set, linear dependence and basis, dimension, linear transformations.

Matrices: Elementary row operations, echelon and reduced echelon forms, Inverse, rank and normal form of a matrix. Matrix of linear transformation. Partitioning of a matrix.

Determinants: Axiomatic definitions of a determinant, determinant as sum of products of elements, Ad joint and inverse of matrix.

System of Linear Equations: Gauss elimination and Gauss Jordan methods, Cramer's Rule, consistent and inconsistent systems.

Equations: Solution of cubic and bi quadratic equations, Numerical solution of equations, Newton-Raphson, Regular Falsi and bisection methods.

Probability: Axioms of probability, conditional probability, Discrete and continuous random variables, probability distributions, Binomial, Poisson's and normal distributions.




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