SI & BHS (Mathematics) 2024
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Introduction Class Video
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TNPSC - Combined Technical Services Exam 2024 - Reseach Assistant, SI & BHS - Intoduction Class
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UNIT III DIFFERENTIAL EQUATIONS AND LAPLACE TRANSFORMS
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Order and Degree of a Differential Equations
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Solvable for y,x & Clairaut's Equations
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Second order differential equations with constant coefficients
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Second and Higher Order Ordinary Differential Equations Type II, III & IV
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UNIT III Differential Equations Class 5 - Method of variation of Parameters & Total DE
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Formation of PDE by eliminating arbitrary constants
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Formation of PDE by eliminating arbitrary functions & Lagrange Equation
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Solving Lagrange Equestion and Standard types
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Standard Types f(z,p,q) =0, f(x,p) = f(y,q), Clairaut's Equations & Charpits Methods
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Laplace Transforms and its Properties - Simple Problems
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Inverse Laplace Transforms
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UNIT 4 VECTOR CALCULUS
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FOURIER SERIES CLASS 1
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FOURIER TRANSFORM CLASS 1
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FOURIER TRANSFORM
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UNIT 4 Differential Calculus
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Unit 4 Vector Integration
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UNIT 4 VECTOR Differentiation class 1
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Unit 4 vector Differentiation class 2
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Unit 4 Vector Differentiation class 3
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UNIT 4 Vector Integration Class 1
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UNIT 4 Vector integration - surface integral CLASS 2
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UNIT 4 Vector Integration Question Discussion
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UNIT 4 Vector Integration Gauss ,Stock ,Green Therom
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UNIT 4 Revision class
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UG TRB UNIT 4 VECTOR CALCULUS Line Integral 2
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UNIT VII COMPLEX ANALYSIS
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Functions of a complex variable and Limits of a function
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Continuity, Differentiability and Cauchy RiemannCR Equations
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Analytic Functions and Harmonic Functions
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Complex Integration and Cauchy's Integral Formula
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Cauchy's Integral formula for Higher order Derivatives
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Taylor’s & Laurent’s series Expansion
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Laurents Series Problems and Zeros of ananlytic function
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Singularities, Poles and Calculation of Residues
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Cauchy's Residue Theorem and Removable, Essential Sigularity
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Evaluation of improper real integrals, Trigonometric Function & PYQ Discussion Class
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UNIT 10 Mathematical Statistics
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SI & BHS UNIT 10 Skewness & kurtosis
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UNIT 10 SI & BHS CORRELATION
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SI & BHS UNIT 10 Binomial Distribution
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SI & BHS UNIT 10 Regression
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SI & BHS UNIT 10 Partial & multiple CORRELATION
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SI & BHS UNIT 10 Uniform Distribution
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SI & BHS UNIT 10 Normal Distribution
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SI & BHS UNIT 10 Probability function ,Addition theorem
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SI & BHS UNIT 10 Probability Generating Function
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SI & BHS UNIT 10 Measure of Dispression
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SI & BHS UNIT 10 Probability Function
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SI & BHS UNIT 10 Measure of Central tendency
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UNIT 2 CALCULUS
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UNIT 2 nth derivative
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UNIT 2 ENVELOPE,EVOLUTE
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UNIT 2 nth derivative ,Lebiniz Theorem
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UNIT 2 Maxima minima,Lagrange Multipliers
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UNIT 2 Partial Diff Equqtion,Total Diff coefficient
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UNIT 2 Beta Gamma function
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UNIT 2 Radius of curvature
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UNIT 2 Property of Definite integral
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UNIT 2 Double integral
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UNIT 2 Triple integral
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UNIT IX OPERATIONS RESEARCH
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Basics and Models of OR, Introduction of LPP and Formulation of LPP
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Solving LPP for Graphical Method
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General LPP Degenerate and NonDegenerate BFS
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Simplex Method Introduction
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Simplex Method, Big M Method & Two Phase Method
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Primal Dual Pairs Duality Concepts
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Transportation Problems for NWCR and LCM Methods
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VAM Method and Assignment Problem
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Network Techniques Introdcution and CPM Method
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Network Techniques PERT Methods
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Game Theory - Two-person Zero-sum game with saddle point and Without saddle Point
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Game Theory Algebraic Method, Dominance Property and Graphical Method
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Inventory Models
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Sequencing problem – n jobs through 2 machines & n jobs through 3 machines
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Sequencing Problems - Two jobs through m machines & n jobs through m machines
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UNIT I ALGEBRA AND TRIGONOMETRY
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Relations between roots and Coefficients, Complex ans Irrational roots
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Symmetric functions of roots and Reciprocal equarions
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Summation of Series Binomial Series
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Exponential and Logarithmic series
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Expansion of Con^nx and Sin^nx
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Expansion of sinnx,cosnx,tannx and Expansion of sin(x), cos(x), tan(x) in terms of x
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Hyperbolic and Inverse Hyperbolic Functions
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Hyperbolic and Inverse Hyperbolic Functions problems
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Matrix Theory Introduction and Types of Matrices
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Rank of a Matrix
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Consistency of a system of simultaneous linear equations, Eigen Values of a matrix
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Cayley Hamilton Theorem, Eigen values and Eigen Vectors
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UNIT 5 -ALGEBRA
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UNIT 5 Algebra Group theory class 1
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UNIT 5 Algebra Group theory class 2
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UNIT 5 Algebra Subgroup ,Cyclic group
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UNIT 5 Algebra Normal Subgroup
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UNIT 5 Algebra Homomarphism
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UNIT 5 Algebra Perumutation
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UNIT 5 Algebra Permutation
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UNIT 5 Algebra Homeomorphism
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UNIT 5 Algebra AUTOMORPHISM
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UNIT 5 Algebra Linear Transformation
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UNIT 5 Algebra Linear Transformation class 2
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UNIT 5 Algebra Permutation
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UNIT 5 Algebra Vector space
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UNIT IV REAL ANALYSIS
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Introduction of Real Number System and Sets
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Operations on a sets
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Functions, type of functions and Countability of sets
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Limit point of a set and Dense of a set
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Sequence of real Numbers
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Monotonicaly Increasing and decreasing Problems
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Cauchy first and Second theorems on limits
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Infinite series
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Alternatiing Series
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Limits and Continuity
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Differentiable of a functions and Rolle's Theorem
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Lagrange MVT & Cauchy MVT
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Metric Space, Open Set, Closed Set , Sequences and Series of functions
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UNIT -8 DYNAMICS
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UNIT 8 Projectile
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UNIT 8 Centre of force
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UNIT 8 Simple Harmonic fuction
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UNIT 8 Centre of force Class 2
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UNIT 8 Centre of force Class 3
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UNIT 2 Pedal equation
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UNIT 2 Pedal equation
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UNIT 8 Velocity ,Relative Velosity,Angular velocity
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UNIT 8 Moment of Inertia
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