One-variable Calculus: Real and Complex numbers; Convergence of sequences and series; Continuity,
intermediate value theorem, existence of maxima and minima; Differentiation, mean value theorem,Taylor
series; Integration, fundamental theorem of Calculus, improper integrals. Linear Algebra: Vector spaces
(over real and complex numbers), basis and dimension; Linear transformations and matrices.

Suggested books :

Apostol, T. M., Calculus, Volume I, 2nd edition
,Wiley, India, 2007.

Strang, G., Linear Algebra and its Applications, 4th Edition
,Brooks/Cole, 2006.