Mathematics III [BCA -301] Syllabus BCA 3rd-III Sem Syllabus for DAVV Indore Affiliated Institutions

 DEVI AHILYA VISHWAVIDYALAYA (DAVV), INDORE

Bachelor Of Computer Applications (BCA) (Full-Time) 
Third-3rd-III Semester Curriculum/ Syllabus 2011-12 Academic Year Onwards

Mathematics III Syllabus 

Mathematics III [BCA-301] (Differential Equations) Syllabus /Course contents

Max.Marks:50

UNIT-I

Differential Equations of first order and first degree: Homogeneous differential equation, Reducible to homogenous differential equations, Linear differential equations(Bernoulli’s equation),exact Differential equation ,change of variables.

Differential equations of first order and higher degree: Differential equations solvable for P, solvable for Y, solvable for X, Clairaut’s Equation.

UNIT-II

Family of curves: Trajectories, orthogonal Trajectories, self orthogonal families, Linear differential equations of higher order with constant coefficients, differential equations reducible to linear differential equations with constant coefficients.

UNIT-III

Linear Differential, Equations of Second order, method of variable of parameters: simultaneous Differential Equations of first order.

UNIT-IV

Initial and boundary value problem, Picard’s method of successive approximation, Series’ solution method of ferobenius.

UNIT-V

Partial differential equations: definition and formation, partial differentials equation of first order Lagrange’s method standard forms. Charpit’s method, linear partial differential equation of higher order with constant coefficients.

Text Book

1. A text book of differential equation by H.K.PATHAK
2. D.C.Agrawal.(Text) shiksha sahitya prakashan .Meerut.

Reference Books:

1. A text book of differential equation by M.M.Kapoor Pithampur pub. Co.888,   East part Road Karol bagh NewDelhi.
2. A text book of differential equation S.N..Agrawal Yougbodh   prakashan,Raipur.
3. Ordinary differential equation by Gunandhar paria,Scholar pub.Indore

Objective: To introduce the concept of mathematics.

Examination: The internal examination will carry 20% marks i.e. 10 marks. The internal 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 sub section in each question.