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