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## Tutor Profile # ARYAN P.

Verified

M Sc @ Central University of South Bihar Post Graduate Diploma in Statistical Methods and Analytics @ Indian Statistical Institute, Chennai

Table Tennis Player at University Level, Dancing, Cooking food of all kind. Love to travel and explore across globe.

## I can Teach:

Abstract/Modern Algebra, Algebra, Algebra Basics, Applied Mathematics, Arithmetic, Basic Geometry, Basic Operations, Basic Statistics, Bessel Functions, Decimals

## Teaching Experience

Coming from a strong background of Mathematics and Statistics, I can ensure you that I provide simple, understandable solutions to your complex problems. Taking the aid of contemporary audio , board and video technologies, I make it a point to make learning interesting for everyone. Reach out to me and let's make learning fun together!

## My Expertise

• Abstract/Modern Algebra
• Algebra
• Algebra Basics

## Top subjects

Trigonometry

there are so many formulas that is so difficult for one to memorize. I'm expert in teaching trigonometry from the basic fundamentals so that students can easily see how these formulas are interlinked and one can easily transform trigonometrical identities. At the end, practice is everything.

Algebra Basics

Basic structure of General Linear Group, Special linear group and Projective speciallinear group, Simplicity of Projective special linear group, Bruhat decomposition in generallinear group. Free groups, Generators and relations, Todd Coxeter Algorithm, Semidirect product, Free product of groups, Generalized free products, Presentation of group, Finitely presented group, Central product. Lower and Upper central series, Nilpotent group, \$p\$-group, Commutator calculus, Characterizations of finite nilpotent group, Fitting theorem, Fitting subgroup, \$P\$-Hallcriteria for nilpotency, Frattini subgroup, Quaternion group, The Burnside basis theorem,Dedekind groups, Extra special \$p\$-groups. Groups of order \$p^m\$, \$p^mq\$, \$p^2q^2\$ or \$pqr\$ are solvable.

Probability and Statistics

Counting, Random variables, distributions, quantiles, mean variance Conditional probability, Bayes' theorem, base rate fallacy Joint distributions, covariance, correlation, independence, Central limit theorem, Bayesian inference with known priors, probability intervals, Conjugate priorsBayesian inference with unknown priors, significance tests and confidence intervals, Resampling methods: bootstrapping, Linear regression, MLE

Precalculus

Set theory, Real numbers: field properties and order properties, representation as points on real line, sup and inf, completeness, rationals and irrationals and their properties, intervals,Sequences and Series, Functions, Integration, ..

Basic Statistics

Use minitab, R or python to explain interpretation and data manipulation.

Discrete Mathematics

Sets & Logic, Mathematical Induction, Equivalence and Validation, Recursive Algorithm , Counting Method & Pigeonhole, Euler & Hamiltonian, Isomorphism, Planar Graph, Network Modelling, Boolean Algebra and Combinatorics, and so on.

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