Kuvempu University Bsc PCM Syllabus

I have come to collect Kuvempu University B.sc PCM Syllabus ,s o would you plz let me know from where I can collect it , will you plz provide me same , if you have it ??

[Arvind Kumar]

As you are asking for Kuvempu University B.sc PCM Syllabus, so on your demand I am providing same for you :


FIRST SEMESTER: PAPER-I
PART-A:
Matrices:Algebra of Matrices; Row and column reduction, Echelon form, Rank of
a matrix; Inverse of a matrix by elementary operations; Solution of system of linear
equations; Criteria for existence of non trival solutions of homogeneous system. Eigen
values and eigenvectors of square matrices, real symmetric matrices and their properties,
reduction of such matrices to diagonal form, Cayley-Hamilton theorem, inverse of matrices
by Cayley-Hamilton theorem.
(40-Hrs)
Groups: Definition of a group with examples and simple properties, Subgroups,
centre of groups, cyclic groups, Coset decomposition, Lagrange’s theorem and its
consequences. Fermat’s and Euler’s theorem. Permutation groups: Even and odd
Permutations.
(20-Hrs)
PART-B:
Differential Calculus: Limits of a function of a real variable. Bounds of a function
(Definition and examples). Algebra of limits-continuity, continuity of sum and product
(problems). Differentiability, Differentiability of sum, product and quotient of functions
(problems). Differentiability implies continuity. Converse is not true (examples only)

Kuvempu University B.sc PCM Syllabus