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Last Update 10/09/2024
Completion Time 5 days 5 hours 50 minutes
Members 40
  • 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 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 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
      New
    • Monotonicaly Increasing and decreasing Problems
      New
    • Cauchy first and Second theorems on limits
      New
    • Infinite series
      New
    • Alternatiing Series
      New
    • Limits and Continuity
      New
    • Differentiable of a functions and Rolle's Theorem
      New
  • UNIT -8 DYNAMICS
    • UNIT 8 Projectile
      New
    • UNIT 8 Centre of force
      New
    • UNIT 8 Simple Harmonic fuction
      New
    • UNIT 8 Centre of force Class 2
      New
    • UNIT 8 Centre of force Class 3
      New
    • UNIT 2 Pedal equation
      New