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.
Calculus (Full Notes)
PDFComprehensive notes covering limits, continuity, differentiability, and integral calculus for competitive exams.
Sequences & Series
BlogConvergence of sequences, Cauchy sequences, series convergence tests — Ratio, Root, Raabe's, Alternating Series, Weierstrass M-Test.
Point Set Topology
BlogOpen and closed sets, limit points, interior/exterior/boundary, compact sets, Heine-Borel theorem, connected sets, dense and nowhere dense sets.
Differentiation & Integration
Coming SoonRiemann integration, fundamental theorem of calculus, uniform continuity, differentiability, mean value theorems, and Taylor series.
Vector Spaces & Matrices
PDFMatrix operations, rank, vector spaces, basis, dimension, linear transformations, eigenvalues, and diagonalization.
Ordinary Differential Equations
PDFFirst and second order ODEs, series solutions, Laplace transforms, systems of ODEs, existence and uniqueness theorems.
Partial Differential Equations
PDFFormation of PDEs, Lagrange's method, Charpit's method, and second-order linear PDEs including Heat, Wave, and Laplace equations.
Request Notes on a Specific Topic
Can't find notes on a topic you need? Send a request and I will prioritise it for the next update.
Request on Telegram