Basic concepts of set theory – Mathematical logic-introduction-statements-connectives-negation, conjunction, disjunction- statement formulas and truth tables- conditional and bi-conditional statements- tautology-contradiction-equivalence of formulas-duality law-Predicates and Quantifiers, Arguments.
Operations on sets – power set- venn diagram Cartesian product-relations -functions- types of functions -composition of functions.
Matrix algebra-Introduction-Types of matrices-matrix operations- transpose of a matrix -determinant of matrix – inverse of a matrix- Cramer’s rule
Matrix: finding rank of a matrix – normal form-echelon form-Cayley Hamilton theorem-Eigen values
Differential calculus – Functions and limits – Simple Differentiation of Algebraic Functions –– Evaluation of First and Second Order Derivatives – Maxima and Minima]