Dept. of Commerce - Management Fest-2016National Seminar on South Asian Cultural Heteroglossia
27-03-2017
SYLABUS
Abstract Algebra
Binary operation - Definition, Examples & Properties of Groups, Subgroups - Cyclic Groups - Groups of permutation - Cayley's Theorem.
Analysis
Absolute value and Real line - The completeness property of - Application of supremum property of intervals - Nested interval property and Uncountability of - Sequence of real numbers - Sequence and their limits - Limit Theorems - Monotone sequence - Subsequence & BolzanoWeierstrassTheorem - Cauchy criterion - Property of divergence Sequence - Open and closed sets.
Linear algebra
Linear Equation - Eigen values and Eigen vectors - Vector Space - Subspace - Linear Dependence - Basis - Dimensions - Linear Transformation.


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St. Aloysius College
Elthuruth, Thrissur 680 611
Kerala, India