The syllabus Mathematics ( 2nd semester)

The syllabus Mathematics for( 2nd semester) 

UNIT:1

SETS: 

Sets , subset , equal sets universal sets , Finite and infinite sets, operation on sets, union , intersection and complements of sets, Cartesian product , cardinality of set , simple application.

UNIT:2

RELATION AND FUNCTION:-

Properties of relation, equivalence relation, partial order relation function: Domain and range , Onto, Into and one to one function, composite and inverse function, introduction of trigonometric, logarithmic and exponential function.

UNIT:3

PARTIAL ORDER RELATIONS AND LATTICES:

Partial order  sets, representation of POSETS hassle diagram, chains , maximal and minimal point, gild, lud , lattices & algebraic system, principal of duality, basic properties, sublattices, distributed &complemented lattices.

UNIT:4

FUNCTION OF SEVERAL VARIABLES:

Partial  differentiation , change of variables, chain rule , extreme of function of 2 variables, Euler's theorem.

UNIT:5

3D COORDINATION GEOMETRY:

3D Coordinator  Geometry: coordinates in space, direction cosines , angle between two lines, projection of join of two points on a plane, equation of plane, straight lines, conditions for a line to lie on a plane, condition for two lines to be coplanar, shortest distance between two lines, equation of sphere , tangent plane at a point on the sphere.

UNIT:6

MULTIPLE INTEGRATION:

Double integral in Cartesian and polar coordinates to find area , change of order of integration , triple integral to find volume of simple shapes in Cartesian coordinates.

                                             Book Details

            Course      :         BCA

            Semester   :        Second semester 

           Paper Code :       BCA - 201