CUET BEd Syllabus 2026, Check Latest Syllabus Here

Calculus Continuity and Differentiability, Applications of Derivatives, Integrals, Applications of the Integrals, Differential Equations

Vectors and Three-Dimensional Geometry – Vectors, Three-Dimensional Geometry

Linear Programming – Linear Programming

Probability – Probability

Differential Calculus: Limits, continuity and differentiability of functions of one and two variables. Rolle’s Theorem, mean value theorems, Taylor’s theorem, indeterminate forms, maxima and minima of functions of one and two variables.

Integral Calculus: Fundamental theorems of integral calculus. Double and triple integrals, applications of definite integrals, arc lengths, areas and volumes.

Matrices: Rank, inverse of a matrix. Systems of linear equations. Linear transformations, eigenvalues and eigenvectors. Cayley-Hamilton theorem, symmetric, skew-symmetric and orthogonal matrices.

Differential Equations: Ordinary differential equations of the first order of the form y = f(x,y). Linear differential equations of the second order with constant coefficients.

Descriptive Statistics and Probability: Measure of Central tendency, Measure of dispersion, skewness and Kurtosis, Elementary analysis of data. Axiomatic definition of probability and properties, conditional probability. multiplication rule. Theorem of total probability. Bayes’ theorem and independence of events.

Random Variables: Probability mass function, probability density function and cumulative distribution functions, distribution of a function of a random variable. Mathematical expectation, moments and moment generating function. Chebyshev’s inequality.

Statistics Standard Distributions: Binomial, negative binomial, geometric, Poisson, hyper- geometric, uniform, exponential, gamma, beta and normal distributions. Poisson and normal approximations of a binomial distribution. Chi-square distribution, t-distribution and F-distribution.

Joint Distributions: Joint, marginal and conditional distributions. Distribution of functions of random variables. Product moments, correlation, simple linear regression.

Limit Theorems: Weak law of large numbers. Central limit theorem (i.i.d. with finite variance case only). Estimation: Unbiasedness, consistency and efficiency of estimators, method of moments and method of maximum likelihood. Sufficiency, factorization theorem. Completeness, Rao-Blackwell and Lehmann-Scheffe theorems, and uniformly minimum variance unbiased estimators. Rao-Cramer inequality. Confidence intervals for the parameters of univariate normal, two independent normal, and one-parameter exponential distributions

Testing of Hypotheses: Basic concepts, applications of the Neyman-Pearson Lemma for testing simple and composite hypotheses. Likelihood ratio tests.

Sampling and Designs of Experiments: Simple random sampling, stratified sampling, and Cluster sampling. One-way, two-way analysis of variance. CRD, RBD, LSD, and 2 and 25 factorial experiments.

Gaseous State, Liquid State, lonic Equilibria, Solid State, Thermodynamics. Thermochemistry, Second Law, Third law of thermodynamics, Free Energy Functions, Partial molar quantities, Dilute solutions or Colligative Properties. Molecular Spectroscopy & Photochemistry, Chemical Kinetics, Catalysis, Surface chemistry, Phase Equilibria, Introduction to Quantum Chemistry, Conductance, Electrochemistry

Atomic Structure, Periodicity of Elements, Chemical Bonding. Metallic bonding and Weak chemical forces, Oxidation-Reduction and general principle of metallurgy, Chemistry of s and p Block Elements, Noble Gases. Inorganic Polymers, Coordination Chemistry, Transition Elements, Lanthanides and Actinides, Bioinorganic Chemistry, Organometallic Compounds

Basics of Organic Chemistry, Stereochemistry, Chemistry of Aliphatic Hydrocarbons, Carbon-Carbon sigma bonds. Carbon-Carbon pi-bonds, Cycloalkanes and Conformational Analysis, Aromatic Hydrocarbons, Chemistry of Halogenated Hydrocarbons, Alcohols, Phenols, Ethers and Epoxides, Carbonyl Compounds, Carboxylic Acids and their Derivatives. Sulphur containing compounds, Nitrogen Containing Functional Groups, Polynuclear Hydrocarbons, Heterocyclic Compounds, Alkaloids, Terpenes, Basic Principles of UV Spectroscopy, Basic principles of IR Spectroscopy, NMR (1 H and 13C NMR), Basic principles of Mass Spectrometry

Geomorphology, Climatology, Oceanography, Biogeography, Physical Geography of India

B) Human Geography Geographic

Thought, Population Geography, Geography of Resources, Economic Geography, Human Geography of India

C) Geographical Techniques

Cartography, Surveying Techniques, Statistical Techniques, Remote Sensing, and GIS

• Food Science
• Home Management
• Textile
• Human Physiology
• Extension Education
• Adult Education

• Period division and naming of Hindi literature
• History of Hindi literature
• Various genres and authors of Hindi literature
• Various forms of purpose-based Hindi
• Hindi in Mass Media
• Indian poetics
• Hindi Grammar

• History of English and Indian Literature
• Indian Writing in English Literacy Terms and Figures of Speech
• Literacy Genres
• Comparative Literature and Translations
• Studies Literacy Criticism and Theory
• Awareness of Current Literacy Trends, Events, Awards etc
• Reading Comprehension

• History of Sanskrit Literature
• Sanskrit Grammar
• Sanskrit Poetics and Prosody
• Sanskrit Literacy Works