Wednesday 27 June 2012

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
For Updates Please revisit again or Bookmark us (ctrl+D)

No comments:

Post a Comment

This Blog is not managed by anyone, If you are interested then Contact me avinashkgec@gmail.com

Related Post