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Discover the **Mathematics-II** **BCA Syllabus** notes. Learn advanced calculus, numerical techniques, and insightful knowledge for academic success. For success, improve your mathematics aptitude.

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**Unit-I: Sets** (Mathematics-II)

- 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: Relations and Functions** (Mathematics-II)

- Properties of Relations,
- Equivalence Relation,
- Partial Order Relation Function: Domain and Range, Onto, Into and One to One Functions,
- Composite and Inverse Functions,
- Introduction of Trigonometric,
- Logarithmic and Exponential Functions.

**Unit-III: Partial Order Relations and Lattices** (Mathematics-II)

- Partial Order Sets,
- Representation of Posets using Hasse Diagram,
- Chains,
- Maximal and Minimal Point,
- Glb, Lub,
- Lattices and Algebraic Systems,
- Principle of Duality,
- Basic Properties,
- Sublattices,
- Distributed and Complemented Lattices.

**Unit-IV: Functions of Several Variables** (Mathematics-II)

- Partial Differentiation,
- Change of Variables,
- Chain Rule,
- Extrema of Functions of Two Variables,
- Euler’s Theorem.

**Unit-V: 3D Coordinate Geometry** (Mathematics-II)

- 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-IV: Multiple Integration** (Mathematics-II)

- 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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