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Sequence and Series of Functions

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Introduction
Pointwise Convergence
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Algebraic Operations on Matrices

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Matrix Representation of Linear Transformations
Theorems on Matrix Representation of Linear Transformations

Inner Product Spaces

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Introuction to Inner Product Space
Properties of Inner Products
Norm of Vector in Inner Product Space
Conjugate Transpose of a Matrix
Orthogonal and Orthonormal Sets
Theorems on Inner Product Space: Part-1
- Theorem-1

Previous Year Question Papers

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Vidyasagar University- Quesitions Papers

Integral Calculus

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Area Bounded by Curves
- 1-Find The Whole Area of The Curve
- 2-Find The Whole Area of The Curve

Hyperbolic Functions

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Formulas: Hyperbolic Functions

Differential Calculus

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Asymptotes
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- 1-Obtain The Asymptotes of The Curve

Group Theory

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Conjugacy Classes
Finite Abelian Groups
- Exploring Finite Abelian Groups: Problem Set Part-II
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Automorphism
Sylow's Theorem
- Sylow p-subgroup Fundamentals in Group Theory

Probability and Statistic

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Probability Distributions
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LPP

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Characteristic of an Optimal Solution
Simplex Method
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Partial Differential Equations

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Cauchy Problem and Wave Equations
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Construction of PDE
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Second Order PDE
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Laplace Transformations

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Piecewise Continuous: Definition and Examples
Exponential Order: Definition and Examples

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Introduction to Complex Numbers
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Neighbourhood, Open Sets, Closed Sets

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Question Papers & Solutions
- Vidyasagar University
  - Mathematics Honours
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Orthogonal set

Orthogonal and Orthonormal Sets
Theorem-1

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