# Mathematics-II BCA Syllabus Notes Pdf 1st Year

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.