COURSE SUMMARY
Course Title:
Mathematical Foundation
Course Code:
18MAT102
Year Taught:
2018
Semester:
1
Degree:
School:
School of Arts and Sciences
School of Engineering
Campus:
Kochi
Mysuru
Amritapuri

'Mathematical Foundation' is a course offered in the first semester of B. C. A. (Bachelor of Computer Applications) program at Amrita Vishwa Vidyapeetham.

#### COURSE CONTENT

Unit 1

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.

Unit 2

Operations on sets - power set- venn diagram Cartesian product-relations -functions- types of functions -composition of functions.

Unit 3

Matrix algebra-Introduction-Types of matrices-matrix operations- transpose of a matrix -determinant of matrix - inverse of a matrix- Cramer’s rule

Unit 4

Matrix: finding rank of a matrix - normal form-echelon form-Cayley Hamilton theorem-Eigen values

Unit 5

Differential calculus - Functions and limits - Simple Differentiation of Algebraic Functions –– Evaluation of First and Second Order Derivatives – Maxima and Minima

#### TEXT BOOKS / REFERENCES

TEXT BOOKS

REFERENCE

• B.S.Vatsa-Discrete Mathematics –New Age International Limited Publishers,New Delhi