Lecture Notes

My own lecture notes — carefully structured for B.Sc., M.Sc. students and CSIR NET / GATE / IIT JAM aspirants. Notes are continuously updated.

Foundations of Mathematics

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Comprehensive notes covering Sets, Relations, Functions and Many More!.

Sets Relations Functions

Calculus

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Comprehensive notes covering limits, continuity, differentiability, and integral calculus for competitive exams.

Limits & Continuity Integration Applications

Abstract Algebra

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Comprehensive notes covering complete Abstract Algebra including group and ring theory.

Group Subgroups Cyclic Group

Real Analysis

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Comprehensive notes covering complete Real Analysis.

Real Numbers Point Set Topology Real Sequence and Series Limit, Continuity, and differentiability Riemann Integration

Linear Algebra

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Matrix operations, rank, vector spaces, basis, dimension, linear transformations, eigenvalues, and diagonalization.

Vector Spaces Linear Maps Eigenvalues

Differential Equations

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First and second order ODEs, series solutions, Laplace transforms, systems of ODEs, existence and uniqueness theorems.

First Order Laplace Transform Series Solutions

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Formation of PDEs, Lagrange's method, Charpit's method, and second-order linear PDEs including Heat, Wave, and Laplace equations.

Lagrange Method Heat/Wave Eq. Boundary Value

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