List of Expected Important Topics for CUET 2022 Mathematics

Name of the Unit

Important Topics

Algebra

• Matrices and types of Matrices
• The inverse of a Matrix
• Determinants

Calculus

• Maxima and Minima
• Continuity and Differentiability
• Tangents and Normals
• Applications of Derivatives
• Higher-order derivatives

Differential Equations

• Formulating 
• Solving of differential equations with variable separable

Integration and its Applications

• Indefinite integrals of simple functions
• Definite Integrals

Relations and Functions

• Inverse Trigonometric Functions
• Types of relations

Probability Distributions

• Random variables and its probability distribution, 
• Binomial Distribution
• Variance and Standard Deviation of a random variable

Linear Programming

• Mathematical formulation of LPP
• Feasible and infeasible regions
• Graphical method of solution for problems in two variables

Integrals

• Definite integrals as a limit of a sum
• Applications of the Integrals
• Integration as inverse process of differentiation
• Differential Equations
• Fundamental Theorem of Calculus

3D Geometry

• Cartesian and vector equation of a line
• Direction cosines/ratios of a line joining two points

Vectors

• Vectors and scalars
• Components of a vector
• Scalar triple product
• Vector (cross) product of vectors

Probability

• Multiplications theorem on probability
• Baye’s theorem
• Conditional probability

Numbers, Quantification and Numerical Applications

• Modulo Arithmetic
• Allegation and Mixture
• Congruence Modulo
• Numerical Problems
• Pipes and Cisterns
• Boats and Streams
• Races and Games

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