|
UNIT I |
LINEAR ALGEBRA |
9 |
|
Vector spaces - Definition and properties, Basis and Dimension, Row and
column spaces, Rank , Finding Basis, Inner Product spaces, Orthonormal bases,
Gram schmith Process. |
|
UNIT II |
MATRICES |
9 |
|
Eigen values and eigen vectors
of a real matrix - Digitalization Orthogonal matrices-Orthogonal
Digonalization - symmetric matrices -
Reduction of Quadratic form to Canonicalform by orthogonal
transformation. |
|
UNIT III |
FOURIER SERIES |
9
|
|
Dirichlets Conditions,
Statement of Fourier Theorem, Fourier Coefficients, Change of scale,
Half range series. |
|
UNIT IV |
BOUNDARY VALUE PROBLEMS |
9 |
|
Separable partial differential
equations - Classical equations - Boundary value problem one Dimensional wave
equation, one dimensional heat equation two dimensional heat equation -
Solution by Fourier series. |
|
UNIT V |
PARTIAL DIFFERENTIAL EQUATION |
9 |
|
Formation of
Partial differential equation by elimination of arbitrary constants and
arbitrary functions solution of standard types of first order partial
differential equations - Lagrange Linear equation - Linear partial
differential equations of second and higher order with constant coefficients.
TOTAL : 45 + 15 |
|
TEXT BOOKS: |
|
Sl. No. |
Author(s) |
Title of the Book |
Publisher |
Year of
Publication |
|
1. |
Kandasamy
P,
Thilagavathy K and Gunavathy K |
Engineering Mathematics |
S Chand and Co New Delhi |
1996 |
|
2. |
Grewal B S |
Higher Engineering Mathematics |
Khanna Publishers |
2004 |
|
3. |
Herstain I N |
Topics in Algebra |
John Wiley and Sons |
- |
|
REFERENCE BOOKS: |
|
Sl. No. |
Author(s) |
Title of the Book |
Publisher |
Year of
Publication |
|
1. |
Kreyszig E |
Advanced Engineering
Mathematics |
John Wiley and Sons, Singapore |
2001 |
|
2. |
Venkataraman
M K |
Engineering Mathematics |
National Publishing Co.,
Chennai, |
2000 |
|
3. |
Veerarajan
T |
Engineering
Mathematics(for first year) |
Tata
McGraw Hill Publishing Co., New
Delhi |
2005 |
|
4. |
Arumugam S
P |
Linear
Algebra |
Scitech
Publications |
- |
|
5. |
Sharma
J N and Vasista A P |
Linear
Algebra |
Krishna Prakash Publications |
- |
|
WEB URLs:
- www.mathworld.wolfram.com.
- www.answers.com/topic/differential-equation
- www.intmath.com/Matrices-determinants
|
