GGSIPU Lesson Plan B.TECH Ist sem Mathematics-I

Academic Plan for Semester-I

                                                      http://ipuedu.blogspot.in/       Subject code: ETMA-101

Subject : Applied Mathematics-I                                                         credits: 04

                                                                                                              

S.No.	Contents	No. of Lectures
	Ist Term
1.	De Moivre’s theorem and roots of complex numbers	2
2.	Euler’s theorem, Logarithmic Functions, Circular functions	2
3.	Hyperbolic Functions and their Inverses	2
4.	Convergence and Divergence of Infinite series	1
5.	Comparison test d’Alembert’s ratio test	2
6.	Higher ratio test, Cauchy’s root test. Alternating series, Leibnitz test, Absolute and conditioinal convergence.                                              Successive differentiation. Leibnitz  theorem (without proof)	2 2
7.	McLaurin’s and Taylor’s expansion of functions, errors and approximation	2
8.	Asymptotes of Cartesian curves	1
9.	Curvature of curves in Cartesian, parametric and polar coordinates	2
	IInd Term
10.	Tracing of curves in Cartesian, parametric and polar coordinates	2
11.	Reduction Formulae area under the curves	2
12.	Length of the curves volume and surface of solids of revolution	2
13.	Rank of matrix, Linear transformations	2
14.	Hermitian and skew – Hermitian forms	1
15.	Inverse of matrix by elementary operations	1
16.	Consistency of linear simultaneous equations Diagonalisation of a matrix	2
17.	Eigen values and eigen vectors	2
18.	Caley – Hamilton theorem (without proof)	1
	IIIrd Term
19.	First order differential equations	1
20.	exact and reducible to exact form	2
21.	Linear differential equations of higher order with constant coefficients	2
22.	Solution of simultaneous differential equations Variation of parameters	2
23.	Solution of homogeneous differential equations – Canchy and Legendre forms.	2

 Source : Internet

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