Mathematics-II BCA 2nd SEM BCA University 2nd SEM BCA 1st Year | BCA205 notes

Scheme & Syllabus Copy of Mathematics-II BCA 2nd SEM

Mathematics-II Syllabus Copy 2nd sem

Unit 1: Sets

• Definition and types of sets
• Operations on sets: Union, intersection, difference
• Venn diagrams and set identities
• Applications of sets in problem-solving

Unit 2: Relations and Functions

• Definition of relations and functions
• Types of relations: Reflexive, symmetric, transitive
• Functions: One-to-one, onto, and bijective
• Inverse functions and composition of functions

Unit 3: Partial Derivatives and Lattices

• Introduction to partial derivatives
• Higher-order partial derivatives
• Applications of partial derivatives
• Lattices: Definition, properties, and types of lattices

Unit 4: Functions of Several Variables

• Introduction to functions of multiple variables
• Limit and continuity of functions of several variables
• Partial derivatives and total derivatives
• Optimization problems with constraints

Unit 5: 3D Coordinate Geometry

• Introduction to 3D geometry: Points, lines, and planes
• Distance formula and section formula in 3D
• Equations of lines and planes
• Curves in 3D space

Unit 6: Multiple Integration

• Introduction to multiple integrals
• Double and triple integrals
• Applications of multiple integrals in finding areas and volumes
• Change of variables in multiple integrals