IIIT West Bengal

Can you provide me the syllabus of First Year (B-Tech, First Year) of Indian Institute of Information Technology (IIIT), Kalyani in West Bengal, India?

[Shaleen]

The Indian Institute of Information Technology (IIIT) was set up at Kalyani, Nadia District by Government of India (MHRD), Government of West Bengal and Industry Partners on a Not-for-profit Public Private Partnership (N-PPP) basis to set up a model of education which can produce best-in-class human resources in IT and harnessing the multidimensional facets of IT in various domains.

First Year (B-Tech, First Year) Syllabus

MA 101 Mathematics-I

Contract Periods: (3 L + I T) TIME – 3Hrs Full Marks -70+ Internal Assessment Full Marks =30

Function of Single Variable: Successive Differentiation, Rolle’s Theorem (statement only).
Geometrical Interpretation, MVT, Geometrical Interpretation, Taylor’s Theorem, Cauchy & Lagrange’s form of reminders, Taylor’s and Maclaurin’s series, expansion of function, Indeterminate forms.

Application of Calculus: Intrinsic and Pedal equation of curves, Curvature, Asymptote.
Test of Convergence of Infinite Series: Comparison test, D Alenbert’s Ratiotest, Gauss test and
Cauchy’s Root test, Power series.

Functions of Several variables: Limit, Continuity, Differentiability (definition and sample examples only), Partial derivatives, Differentials & small errors, Euler’s theorem, Taylor’s theorem & series, Expansion of functions, Maxima &minima.

Complex Algebra: De Moivre’s theorem, Extraction of roots of complex numbers, complex functions, e.g., az and sin z, cos z, log z, sin-1z, cos –1z, tan –1z etc.