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UG TRB
Open Unit 01 – Algebra & Trigonometry
Open Unit 02 – Differential Calculus, Integral Calculus & Analytical Geometry (2D)
Open Unit 03 – Differential Equations & Laplace Transform
Open Unit 04 – Vector Calculus, Fourier Series & Fourier Transforms
Open Unit 05 – Algebraic Structures
Open Unit 07 – Complex Analysis
Open 06 – DIFFERENTIAL GOMETRY
Open 07 – DIFFERENTIAL EQUATIONS
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CHAPTER 1 – THEOREY OF EQUATION
Open 02 – DIVISION ALGORITHM, REMAINDER & FACTOR THEOREM
Open 03 – IMAGINARY AND IRRATIONAL ROOTS
Open 04 – PROBLEMS ON IMAGINARY & IRRATIONAL ROOTS – PART 1
Open 05 – PROBLEMS ON IMAGINARY & IRRATIONAL ROOTS – PART 2
Open 06 – RELATION BETWEEN ROOTS AND COEFFICIENTS
Open 07 – STANDARD RESULTS IN CUBIC EQUATION – PART 1
Open 08 – PROBLEMS SOLVING IN CUBIC EQUATION – PART 2
Open 09 – STANDARD RESULTS IN BI-QUADRATIC EQUATION – PART 3
Open 10 – PROBLEMS SOLVING IN BI-QUADRATIC EQUATION – PART 4
Open 11 – SYMMETRIC FUNCTION OF ROOTS IN TERMS OF COEFFICIENTS
Open 12 – PROBLEMS IN CUBIC EQUATION – PART 1
Open 13 – PROBLEMS IN BI-QUADRATIC EQUATION – PART 2
Open 14 – SUM OF THE POWERS OF THE ROOTS
Open 15 – PROBLEMS BASED ON SUM OF THE POWER OF THE ROORS – PART 1
Open 16 – TRANSFORMATION OF EQUATION (ROOTS MULTIPLIED BY GIVEN NUMBER) – PART 1
Open 17 – TRANSFORMATION OF EQUATION (ROOTS WITH SIGNS CHANGED) – PART 2
Open 18 – TRANSFORMATION OF EQUATION (ROOTS ARE DIMINISHED BY h) – PART 3
Open 19 – RECIPROCAL ROOTS – PART 1
Open 20 – RECIPROCAL EQUATION – PART 2
Open 21 – STANDARD RECIPROCAL EQUATION – PART 3
Open 22 – PROBLEMS BASED ON RECIPROCAL EQUATION – PART 4
Open 25 – NATURE & POSITION OF ROOTS
Open 26 – PROPERTIES OF POLYNOMIAL – PART 1
Open 27 – DESCARTES RULE OF SINGS – PART 2
Open 28 – PROBLEMS ON DESCARTES RULE OF SINGS – PART 3
Open 31 – BINOMIAL SERIES – PART 1
Open 32 – BINOMIAL COEFFICIENTS – PART 2
Open 33 – SUMMATION OF BINOMIAL SERIES – PART 3
Open 34 – EXPONENTIAL SERIES – PART 4
Open 35 – LOGARITHMIC SERIES – PART 5
CHAPTER 2 – MATRICES
Open Eigen Values & Eigen Vectors
Open Countable and Uncountable Set
Open Bounded and Unbounded Set
Open Problems on Limits: Part – 1
Open Problems on Limits: Part – 2
Open Problems on Continuity: Part – 1
Open Problems on Continuity: Part – 2
Open Problems on Comparison Test
Open Problems on Ratio Test: Part – 1
Open Problems on Ratio Test: Part – 2
Open Riemann Stieltjes Integral
Open Problems on Fourier Series
Open Problems on Analytic Functions
Open Problems on Harmonic Function
Open Types of Bilinear Transformation
Open Cauchy’s Integral Formula
Open Cauchy’s Integral Formula for Higher Derivatives
Open Zeros of Analytic Function
Open Problems on Singularities
Ordinary Differential Equation:
Equation of I-Order & I-Degree:
Open (i) Variable Separable Method
Open (iii) Linear Differential Equation
Open (iv) Bernoulli’s Equation
Linear DE with Constant Co-efficient:
Homogeneous Equations:
Open Method of Variation of Parameter
Open Exact Differential Equation
Equation of I-Order & Higher Degree:
Open (v) Extended Clairaut’s Form
Total Differential Equation:
Open (ii) Dividing Common term
Wronskian:
Partial Differential Equation:
Formation of PDE:
Open (i) Elimination of Arbitrary Constants
Open (ii) Elimination of Arbitrary Functions
I – Order Non-linear PDE:
Lagrange’s Linear Equation:
Second & Higher Order PDE:
Open (ii) Non-Homogeneous Type
Open Classification of Second order PDE
Open Linear Programming Problem
Open Artificial Variable Technique
Open Non-Linear Programming Problem
Open Problems on Queueing Models
Open Geometric & Harmonic Mean
Measures of Dispersion:
Open Correlation & Rank Correlation
Open Partial & Multiple Correlation
Open Problems on Probability Function
Open Joint Probability Function & Problems
Open Problems on Chebychev’s Inequality
Discrete Distributions:
Open Problems on Binomial Distribution
Open Problems on Poisson Distribution
Continuous Distribution:
Open Problems on Uniform Distribution
Open Problems on Normal Distribution
Open Student – t – Distribution
Open Problems on Binomial Distribution
Open Problems on Binomial Distribution
Open Problems on Poisson Distribution
Open Problems on Poisson Distribution
Open Problems on Uniform Distribution
Open Problems on Exponential Distribution
Open Problems on Normal Distribution
