UG TRB MATHS 2026

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Last Update	02/24/2026
Completion Time	4 days 1 hour 46 minutes
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UNIT I ALGEBRA and TRIGONOMETRY
- TNPSC - CTS - AD/ASI/ BHS Exam 2026 & UG TRB 2025 -Basic Matrix Theory Class
- Symmetric, Skew Symmetric, Hermitian and Skew Hermitian Matrix
- Symmetric, Skew Symmetric, Hermitian and Skew Hermitian Matrix
- Orthogonal, Unitary Matrix and Rank of a Matrix
- Rank of a matrix Class II
- Consistency and Inconsistency of a System of Linear Equations
- Eigen Values and Eigen Vectors
- Properties of Eigen Values and Eigen Vectors
- Eigen Values and Eigen Vectors Problems Discussion
- Cayley Hamilton Theorem, Diagonalization of a Matrix and Similar Matrices
- UNIT I MATRIX THEORY PYQ'S PART I CLASS
- UNIT I MATRIX THEORY PYQ'S PART II CLASS
- UNIT I MATRIX THEORY MOCK TEST I QP.pdf
- UNIT I MATRIX THEORY MOCK TEST I ANSWER KEY.pdf
- UNIT I MATRIX THEORY MOCK TEST II QP.pdf
- UNIT I MATRIX THEORY MOCK TEST II ANSWER KEY.pdf
- UNIT I MATRIX THEORY MOCK TEST III QP.pdf
- UNIT I MATRIX THEORY MOCK TEST III ANSWER KEY.pdf
- UNIT I MATRIX THEORY FULL TEST QP.pdf
- UNIT I Matrix Theory Full Test Answer Key.pdf
- Theory of Equations Class I
- Theory of Equations Class II
- Theory of Equations Class III
- Theory of Equations Class IV
- Theory of Equations Class V
- Theory of Equations Class VI
- Theory of Equations Class VII
- Theory of Equations Class VIII
- Theory of Equations Class IX
- Newtons Theorem & Theory of Equations PYQ's Explanation
- UNIT I Theory of Equations PYQ'S Part II Discussion Class(2016-2025)
- Descartes’s rule of signs - Summation of series using Binomial –Exponential Series
- Logarithmic Series
- Expansions of Power of sinnx, cosnx & tannx
- Expansions of Trigonometric functions & Hyperbolic functions
- Relation Between Circular and Hyperbolic Function
- Relation Between Circular and Hyperbolic Function Class II
- Logarithm of a complex number
- Telescopic Summation
- Summation of trigonometric series using C+iS Method
UNIT X STATISTICS/PROBABILITY
- Binomial Distribution
- Poisson Distribution
- NORMAL DISTRIBUTION
- t Distribution Class 1
- t Distribution Class 2
- F Distribution
- CHI SQUARE DISTRIBUTION
- F Distribution class 2
- Probability class 1
- Probability class 2
- Probability class 3
- Probability class 4
- Probability Mathematical Expectation Class I
- Probability Mathematical Expectation Class II
- Probability Mathematical Expectation Class III
- Moments Class 2
- Moments Class 1
- Statistics MGF
- Statistics- Cumulants
- Statistics - Characteristic Function
- Statistics-Skewness & Kurtosis
- Statistics Correlation Class 1
- Statistics Correlation and Regression Class II
- Statistics Regression Problems
- CGL AND CTS Estimation Theory Class 1
- Statistics Probability Distribution PYQP
- Statistics Probability Distribution PYQP Class 2
- UG TRB & CGL UNIT 10 Statistics Index Number Class 1
- UGB TRB Measure of Central Tendency
- UGB TRB Measure of Dispersion
UNIT III Differential Equations and Laplace Transforms
- Differential Equations - Introduction Class
- Linear Higher order ODE with constant coefficients - Complementary Function (C.F)
- Linear Higher order ODE with constant coefficients PI for Type I & II
- Linear Higher order ODE with constant coefficients PI for Type III
- Linear Higher order ODE with constant coefficients PI for Type IV
- Formation of Partial Differential equations by eliminating arbitrary constants
- Formation of PDE by Eliminating arbitrary functions Part I
- Formation of PDE by Eliminating arbitrary functions Part II & Lagrange Equation Part I
- Lagrange PDE - Method of Multipliers
- Standard types for solving PDE Type I,II,III & V
- Standard types for solving PDE Type IV & Clairaut's Form
- PDE PYQ'S Discussion Class (2013-2025)
UNIT IV Vector Calculus, Fourier Series and Fourier Transforms
- Gradient of a scalar function and its properties
- Directional derivative of a scalar function
- Angle between two surfaces
- Divergent and Curl of a Vector Function
- Divergence, Curl and Scalar Potential of a Vector
  
  New
- Expansion formula involving Divergent and Curl of a vector function
  
  New
- Velocity and Acceleration of a Vector Function
  
  New
UNIT IX Operations Research
- UGB TRB IX Operation Research Basics Class 1
- UGB TRB IX Operation Research Graphical Method class 2
- OR Graphical Method & Formulation of LPP
  
  New