Lucknow University B.Sc. Mathematics Entrance Exam 2025 with LUUpdate App

The Lucknow University B.Sc. Mathematics Entrance Exam 2025 assesses candidates on subjects including Physics, Chemistry, Mathematics (10+2 level), Mental Aptitude, and basic Computer Applications.❗️ 🚀To enhance your preparation, download the LUUpdate App now for comprehensive study materials and practice tests.🚀

🔢 Mathematics Syllabus

1. Sets
   • ❗️Types of Sets, Subsets, Union, Intersection, Complement, and Difference of Sets
   • Venn Diagrams
2. Relations and Functions
   • Types of Relations
   • Types of Functions
3. Trigonometric Functions
   • Trigonometric Ratios and Identities
   • Graphs and Transformations
4. Principle of Mathematical Induction
   • Induction Process and Applications
5. Complex Numbers and Quadratic Equations
   • Algebra of Complex Numbers
   • Modulus and Argument
   • Square Root of Complex Numbers
6. Linear Inequalities
   • Algebraic Solutions of Linear Inequalities
7. Permutations and Combinations
   • Fundamental Principle of Counting
   • Permutations and Combinations
8. Binomial Theorem
   • Expansion of (a + b)ⁿ, Middle Term, General Term
9. Sequence and Series
   • Arithmetic Progression (AP) and Geometric Progression (GP)
   • Sum of n terms
10. Straight Line
    • Various Forms of Equations of a Line
11. Conic Sections
    • Parabola, Ellipse, Hyperbola
12. Introduction to Three-dimensional Geometry
    • Distance Formula, Section Formula
13. Limits and Derivatives
    • Differentiation of Polynomials and Trigonometric Functions
14. Statistics and Probability
    • Measures of Dispersion
    • Probability Theorems
15. Inverse Trigonometric Functions
    • Properties and Graphs
16. Matrices
    • Types, Operations, and Transpose
17. Determinants
    • Properties, Minors, and Cofactors
18. Applications of Derivatives
    • Rate of Change, Increasing and Decreasing Functions
19. Integrals
    • Indefinite and Definite Integrals
20. Differential Equations
    • Formation and Solutions
21. Vectors and Three-dimensional Geometry
    • Vector Algebra, Dot and Cross Product
22. Linear Programming
    • Optimization Techniques
23. Probability
    • Conditional Probability and Bayes’ Theorem

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🔬 Physics Syllabus

• Units and Measurements
• Motion in a Straight Line
• Newton’s Laws of Motion
• Work, Energy & Power
• Gravitation
• Thermodynamics
• Oscillations
• Electric Charges and Fields
• Current Electricity
• Magnetism and Matter
• Ray Optics and Optical Instruments
• Semiconductor Electronics

🔫 Chemistry Syllabus

• Structure of Atom
• Chemical Bonding and Molecular Structure
• Redox Reactions
• Equilibrium
• Hydrocarbons
• Solid State
• Electrochemistry
• Alcohols, Phenols, and Ethers
• Aldehydes, Ketones, and Carboxylic Acids
• Coordination Compounds

🧐 Reasoning & Mental Ability

• Series Completion
• Analogy
• Coding-Decoding
• Puzzle Test
• Blood Relation
• Time & Distance
• Profit & Loss

💻 Computer Basics

• Basics of Computers
• Number Systems
• MS Office (Word, Excel, PowerPoint)
• Networking Basics
• E-Governance and Digital India Initiatives

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