Mathematics – 1 [BCA -101] Syllabus BCA 1st-I Sem Syllabus for DAVV Indore Affiliated Institutions

 DEVI AHILYA VISHWAVIDYALAYA (DAVV), INDORE

Bachelor Of Computer Applications (BCA) (Full-Time) 
First-1st-I Semester Curriculum/ Syllabus 2011-12 Academic Year Onwards

Mathematics – 1 Syllabus

Mathematics – 1 [BCA -101] Syllabus /Course contents

UNIT - I

Review of concepts of function of one variable: define a function. Types of function: Limits: define working rule for finding out the limit, fundamental property of limit, problems based on limits: Continuity : define point of discontinuity, classification of discontinuity, problems based on continuity & discontinuity Differentiability : condition for derivability and problems.

UNIT - II

Successive differentiation, Rolles theorem, Mean value theorem, Taylor’s theorem, Taylor’s & Maclaurin’s series, Intermediate forms.

UNIT - III

Tangents, Normals, Curvature, asymptotes, integration of hyperbolic function and reduction formula

UNIT - IV

Differentiation of vector function, gradient, directional derivatives, divergence and curl, vector function of several scalar variables and their partial derivative, level surface gradient in Cartesian and polar coordinates, divergences of vector and curl of a vector.

UNIT - V

Matrix – definition, types of matrix, special matrix elementary transformation of matrix, inverse of matrix – adjoint methods and Gaussian elimination, normal from of matrix, rank of matrix, nullity of matrix (their applications) consistency and solution of linear simultaneous equations.

TEXT BOOK

A text book of calculus by Dr. H.K.Pathak, & D.C. Agrawal 2010

REFERENCE BOOKS :

1. A text book of calculus by Dr. H.S.Sharma, Ratan Prakashan

2. Vector Calculus & Geometric by Dr. H.K.Pathak, & D.C. Agrawal

3. Discrete Mathematics by Dr. H.K.Pathak, & D.C. Agrawal – (shikha sahitya prakashan)

OBJECTIVE : The objective of this course is to familiarize the students with Calculus.

EXAMINATION: The internal examination will carry 20% marks i.e. 10 marks. The external examination will be of 80% marks i.e. 40 marks. The question paper will contain questions equally distributed in all units. The balance of the paper will be maintained by including appropriate (numerical/objective/conceptual/analytical/theoretical) combination of subsection in each question.