Kavayitri Bahinabai Chaudhari North Maharashtra University, Maharashtra, Information Technology Semester 1, Mathematics - I Syllabus

Mathematics –I

Semester credits 4

Unit–I: 

Matrices:
Introduction to rank of a matrix; System of linear equations; Symmetric and orthogonal matrices; Eigen values and Eigenvectors, Diagonalization of matrices. Application of matrices (Rotation )

Unit–II: 

Differential and Integral Calculus:
Rolle‟s Theorem, Mean value theorem, Taylor‟s and Maclaurin‟s theorem; Gamma function, Beta function

Unit–III: 
Partial Differentiation:
Partial derivatives, Eulers theorem, Composite function, total derivative; Method of Lagranges multipliers.

Unit–IV: 

A) Fourier series
Full range Fourier series, Half range sine and cosine series.

B)Vector Calculus : Gradient ,Curl, Divergence, Directional Derivatives.

Unit–V: 

Complex Number:
Circular functions, Hyperbolic and Inverse Hyperbolic functions, logarithms of complex number,
resolving real and imaginary parts of a complex number.

Text Books:
1. H.K.DASS “Advance Engineering Mathematics” S. Chand publications.
2. N.P. Bali and Manish Goyal, A text book of Engineering Mathematics, Laxmi Publications,Reprint, 2010,2016.
3. DebashisDatta “Textbook of Engineering Mathematics‟‟ New Age International Publication. Revised second edition.
4. “Engineering Mathematics A Tutorial Approach”. Ravish R..Singh, Mukul Bhatt.Tata McGraw Hill Education Private Limited .New Delhi.
Reference Book:
1. G.B. Thomas and R.L. Finney, Calculus and Analytic geometry, 9th Edition, Pearson, Reprint, 2002.
2. Erwin kreyszig, Advanced Engineering Mathematics, 9th Edition, John Wiley & Sons,2006.
3. Veerarajan T., Engineering Mathematics for first year, Tata McGraw-Hill, New Delhi,2008.
4. Ramana B.V., Higher Engineering Mathematics, Tata McGraw Hill New Delhi, 11th Reprint, 2010.
5. D. Poole, Linear Algebra: A Modern Introduction, 2nd Edition, Brooks/Cole, 2005..
6. B.S. Grewal, Higher Engineering Mathematics, Khanna Publishers, 36th Edition, 2010