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# BCA Semester-II^{nd} - Mathematics-II Syllabus

Here you will find the syllabus of fifth subject in BCA Semester-II^{nd},
which is Mathematics-II.

**Important** - The syllabus may vary from college to college.

## Mathematics-II Units

This course/subject is divided into total of 6 units as given below:

- Sets
- Relations and Functions
- Partial Order Relations and Lattices
- Functions of Several Variables
- 3D Coordinate Geometry
- Multiple Integration

Now let's expand the above listed units with its syllabus.

## Unit-I Syllabus - Sets

Here are the list of topics that comes under the syllabus of unit-I, that is sets:

- Sets
- Subsets
- Equal Sets
- Universal Sets
- Finite and Infinite Sets
- Operation on Sets
- Union
- Intersection and Complements of Sets
- Cartesian Product
- Cardinality of Set
- Simple Applications

## Unit-II Syllabus - Relations and Functions

Here are the list of topics that comes under the syllabus of unit-II, that is relations and functions:

- Relations
- Properties of Relations
- Equivalence Relation
- Partial Order Relations

- Function
- Domain and Range
- Onto
- Into and One to One Functions
- Composite and Inverse Functions
- Introduction to Trigonometric
- Logarithmic and Exponential Functions

## Unit-III Syllabus - Partial Order Relations and Lattices

Here are the list of topics that comes under the syllabus of unit-III, that is partial order relations and lattices:

- Partial Order Sets
- Representation of POSETS using Hasse diagram
- Chains
- Maximal and Minimal Point
- Glb
- lub
- Lattices & Algebraic Systems
- Principle of Duality
- Basic Properties
- Sub lattices
- Distributed & Complemented Lattices

## Unit-IV Syllabus - Functions of Several Variables

Here are the list of topics that comes under the syllabus of unit-IV, that is functions of several variables:

- Partial Differentiation
- Change of Variables
- Chain Rule
- Extrema of Functions of 2 Variables
- Euler's Theorem

## Unit-V Syllabus - 3D Coordinate Geometry

Here are the list of topics that comes under the syllabus of unit-V, that is 3d coordinate geometry:

- Coordinates in Space
- Direction Cosines
- Angle Between Two Lines
- Projection of Join of Two Points on a Plane
- Equations of Plane
- Straight Lines
- Conditions for a line to lie on a plane
- Conditions for Two Lines to be Coplanar
- Shortest Distance Between Two Lines
- Equations of Sphere
- Tangent plane at a point on the sphere

## Unit-VI Syllabus - Multiple Integration

Here are the list of topics that comes under the syllabus of unit-VI, that is 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

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