SI & BHS (Mathematics) 2024

Private Course

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Last Update	09/18/2024
Completion Time	3 days 13 hours 2 minutes
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Course

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
  
  New
- UNIT 2 Radius of curvature
  
  New
- UNIT 2 Property of Definite integral
  
  New
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
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
  
  New
- Exponential and Logarithmic series
  
  New
- Expansion of Con^nx and Sin^nx
  
  New
- Expansion of sinnx,cosnx,tannx and Expansion of sin(x), cos(x), tan(x) in terms of x
  
  New