Linear Algebra:

Linear algebra is very important branch of mathematics ,which deals the system of linear equations, matrices, determinants, vector space and transformations. 

Learning outcomes :

After completion of this course, students will be able to provide fundamentals of solution for system of linear equations, operations on system of equations, Matrix properties, solution and study of their properties. 

Course contents:

Introduction to vectors, solving the linear equations, elimination, factorization, vector spaces and subspaces.Orthogonally ,determinants, eigenvalues and eigen vectors. Graphs and networks, Markov matrices, population and economics, linear programming. Fourier series, Linear algebra for functions. Linear algebra for statistics and probability. Computer Graphics, numerical linear algebra. Complex vectors and matrices. Discrete transform and simple applications. 

Recomended books:

Introduction to linear algebra by Gilbert Strang,  Wellesley combridge press, 4th Edition (February 10th,2009).ISBN. 10:080232716.

Suggested books:

(i) Elementry linear algebra with applications by Bernard kolman, David Hill, 9th Edition prentice Hall PTR, 2007,ISBN.10:0132296543.

(ii) Strang's linear algebra and its applications by Gilbert strang, Brett Coonly Andy Bulman Flemming, Andrew Bulman Flemming, 4th Edition, Brooks/cole,2005.

(iii) Elementry linear algebra :Applications version by Haward Anton, Chris Rorres, 9th edition, Wiley, 2005.

(iv) Linear algebra and its applications by David C. Lay, 2nd Edition, Addison -Wesley 2000.

(v)  Linear Algebra by Haroled M. Edwords, Birkhausar, Ist Edition (2004).ISBN. 10:0817643702.

(vi) Linear Algebra:A modern introduction by David Poole, Brooks cole, 3rd Edition (May 25,2010),ISBN. 10:0538735457.

Assignments :

(i)  Formation of linear system. 

(ii)  Types of solutions of homogeneous and non homogeneous linear system. 

(iii) Prperties of Determinants. 

(Conversion of linear systrm into matrices form. 

Assessment criteria:

Sessional:20(Assignment 10, attandance 05,Quiz 05)

Mid term exam:30

Final term exam: 50

Key dates and time of class meeting:

Thursday:12 noon-2:30pm

Friday: 10:40am -12noon.

Commencement of classes:March 02,2020.

Mid term exam: April 24-May 04, 2020.

Final term exam:Jun 22 -28,2020.

Declaration of results May 19,2020.