These are the mathematics notes I prepared for my GATE preparations (2015). Although I do not expect any major mistakes in these notes, I do not guarantee the complete correctness or the exhaustive coverage as per current GATE syllabus.
Functions and their behaviour [pdf]
Some theorems on differentiable functions [pdf]
Definite integrals [pdf]
Differential equations; Set 1 [pdf] ; Set 2 [pdf] ; Set 3 [pdf] ; Set 4 [pdf] ; Set 5 [pdf]
Linear algebra [pdf] (I took these notes in Prof. Vijaya Krishna's lectures. I owe many thanks to Prof. Vijaya Krishna for these nice lectures.)