BCA Semester-IInd - Mathematics-II Syllabus

Here you will find the syllabus of fifth subject in BCA Semester-IInd, 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:

  1. Sets
  2. Relations and Functions
  3. Partial Order Relations and Lattices
  4. Functions of Several Variables
  5. 3D Coordinate Geometry
  6. 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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