CUET PG Syllabus 2027: Subject-Wise Topic List, Weightage and PDF Download

Vector algebra and calculus; matrices and determinants; ordinary and partial differential equations; Fourier series and transforms; Laplace transforms; complex numbers; partial differentiation; multiple integrals; and coordinate systems (Cartesian, cylindrical, spherical).

Newton’s laws; constraints and generalised coordinates; Lagrangian and Hamiltonian formulations; central force problems; rigid body dynamics; small oscillations; special theory of relativity including Lorentz transformations, relativistic kinematics and dynamics.

Electrostatics (Coulomb’s law, Gauss’s law, potential and energy); magnetostatics (Biot-Savart, Ampere’s law); electromagnetic induction; Maxwell’s equations and electromagnetic waves; waveguides; and radiation from accelerated charges.

Wave-particle duality; Schrodinger equation (time-dependent and time-independent); operators, eigenvalues, and commutation relations; hydrogen atom; angular momentum; perturbation theory (time-independent and time-dependent); and identical particles.

Laws of thermodynamics; thermodynamic potentials; phase transitions and Clausius-Clapeyron equation; Maxwell-Boltzmann distribution; partition functions; Fermi-Dirac and Bose-Einstein statistics; and applications to ideal gases and blackbody radiation.

Nuclear structure (binding energy, nuclear models); radioactive decay (alpha, beta, gamma); nuclear reactions and cross-sections; fission and fusion; elementary particles and conservation laws; and particle accelerators and detectors.

Crystal structure and X-ray diffraction; band theory of solids; semiconductors (intrinsic and extrinsic); diodes, transistors, and amplifiers; operational amplifiers; digital electronics; Boolean algebra; and introduction to superconductivity.

Atomic structure and quantum theory; chemical bonding (VBT, MOT, VSEPR); thermodynamics (laws, Hess’s law, Gibbs energy); chemical equilibrium; electrochemistry (EMF, Nernst equation, electrode potentials); chemical kinetics (rate laws, Arrhenius, catalysis); quantum chemistry; and solid state chemistry.

Periodic table trends; s-block and p-block element chemistry; d-block and f-block elements; coordination chemistry (Werner’s theory, crystal field theory, isomerism); organometallic compounds; bioinorganic chemistry; acids and bases (hard-soft theory, Lewis concept); and nuclear chemistry.

Stereochemistry (chirality, E/Z isomerism, conformation); reaction mechanisms (SN1, SN2, E1, E2, addition, substitution); named reactions; functional group transformations; natural products (terpenes, alkaloids, carbohydrates); pericyclic reactions; heterocyclic chemistry; and spectroscopic identification (NMR, IR, UV-Vis, Mass Spectrometry).

Statistical analysis of data; gravimetric and volumetric analysis; complexometric titrations; chromatographic techniques (TLC, column, HPLC, GC); electroanalytical methods (potentiometry, polarography); and spectroanalytical methods.

Groups, subgroups, normal subgroups, quotient groups, homomorphism; rings, ideals, ring homomorphisms; fields and field extensions; vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalisation; inner product spaces; and modules.

Sequences and series of real numbers; limits, continuity, and uniform continuity; differentiation (mean value theorem, Taylor’s theorem); Riemann integration; uniform convergence of sequences and series of functions; metric spaces; and basic topology (open sets, compactness, connectedness).

Analytic functions and Cauchy-Riemann equations; conformal mappings; Cauchy’s integral theorem and formula; Taylor and Laurent series; singularities and residues; and contour integration techniques.

First-order ODEs; linear ODEs with constant and variable coefficients; systems of ODEs; Laplace transforms and applications; partial differential equations (heat equation, wave equation, Laplace equation); and boundary value problems.

Numerical solution of equations (bisection, Newton-Raphson); interpolation (Lagrange, Newton); numerical integration (Simpson’s rule, Gaussian quadrature); linear programming (graphical method, simplex method); duality; and transportation problems.

Prehistoric and Protohistoric India; Indus Valley Civilisation; Vedic Age and Painted Grey Ware culture; Mahajanapadas and rise of Buddhism and Jainism; Mauryan Empire; post-Mauryan period (Shungas, Kushans, Satavahanas); Gupta Age; and early medieval period.

Early medieval Indian polity; Delhi Sultanate (Slave, Khalji, Tughlaq, Sayyid, Lodi dynasties); Vijayanagara and Bahmani kingdoms; Mughal Empire (Babur to Aurangzeb); Bhakti and Sufi movements; economy, society, and culture in medieval India.

European advent and expansion; British territorial conquests; economic impact of colonialism; socio-religious reform movements; Indian National Movement (Swadeshi, Non-Cooperation, Civil Disobedience, Quit India); Partition and Independence.

Renaissance and Reformation; French Revolution; Industrial Revolution; imperialism and colonialism; World War I; Russian Revolution; World War II; Cold War and decolonisation.

Concepts of liberty, equality, rights, justice, and democracy; state and sovereignty; political ideologies including liberalism, conservatism, Marxism, socialism, feminism, and environmentalism.

Constitution of India (features, Preamble, Fundamental Rights, DPSP); Parliament and state legislatures; judiciary (Supreme Court and High Courts); federalism and centre-state relations; political parties; elections and the Election Commission; and public policy.

Approaches to comparative politics; political systems of USA, UK, France, China, and Russia; political development, modernisation, and democratisation.

Theories of IR (realism, liberalism, constructivism); India’s foreign policy; international organisations (UN, WTO, IMF, World Bank); regional bodies (SAARC, ASEAN, G20); and contemporary global issues including nuclear non-proliferation, climate diplomacy, and terrorism.

Consumer theory (utility, indifference curves, demand); production theory (isoquants, returns to scale); cost and revenue analysis; market structures (perfect competition, monopoly, monopolistic competition, oligopoly); factor pricing; and game theory basics.

National income accounting (GDP, GNP, NNP); income determination; IS-LM model; monetary theory and banking; inflation and unemployment; economic growth models (Harrod-Domar, Solow); and open economy macroeconomics (balance of payments, exchange rates).

Probability theory; sampling theory and distributions; hypothesis testing; simple and multiple regression analysis; time series analysis; and introduction to econometric methods including OLS, heteroscedasticity, and autocorrelation.

Indian agriculture (green revolution, land reforms, food security); industry and services sector; planning and development strategy; poverty and inequality; monetary and fiscal policy; external sector (trade, FDI, WTO implications); and recent economic reforms.

Accounting concepts and standards (Ind AS overview); partnership accounts (admission, retirement, dissolution); company accounts (shares, debentures); depreciation methods; cash flow statements; and financial statement analysis (ratio analysis, fund flow).

Management functions (planning, organising, staffing, directing, controlling); leadership theories; motivation (Maslow, Herzberg, McGregor); organisational behaviour; marketing management (4Ps, STP); human resource management; and entrepreneurship.

Demand analysis and forecasting; production and cost analysis; pricing decisions under different market structures; national income concepts; money and banking; inflation; and basics of international trade and balance of payments.

Indian Contract Act 1872; Sale of Goods Act 1930; Partnership Act 1932; Companies Act 2013 key provisions; Consumer Protection Act 2019; Income Tax Act basic provisions (heads of income, deductions, TDS); and GST overview (CGST, SGST, IGST framework).

Classification and functions of nutrients (carbohydrates, proteins, fats, vitamins, minerals, water); digestion, absorption, and metabolism of each nutrient class; nutritional requirements across the life cycle (infancy, toddlerhood, childhood, adolescence, pregnancy, lactation, elderly); malnutrition and deficiency diseases (kwashiorkor, marasmus, anaemia, xerophthalmia, rickets); therapeutic nutrition and clinical dietetics (diabetic diet, renal diet, cardiac diet); food preservation and processing methods (drying, canning, fermentation, radiation); food microbiology and food safety; food adulteration including common adulterants and detection methods; FSSAI standards and regulations; and National Nutrition Programs (POSHAN Abhiyaan, Mid-Day Meal Scheme, ICDS).

Theories of child development including cognitive (Piaget), psychosocial (Erikson), psychoanalytic (Freud), socio-cultural (Vygotsky), and ecological systems (Bronfenbrenner); developmental stages covering physical, cognitive, social, and emotional development from infancy through old age; child-rearing practices and parenting styles; family structure, functions, types, and life cycle; marriage patterns and family dynamics; family conflict and resolution; adolescent development covering identity, peer influence, and risk behaviours; counselling and guidance principles; and personality theories (trait, humanistic, social learning).

Management process covering planning, organising, implementing, and evaluating; time and energy management techniques; work simplification methods; management of financial resources including budgeting, savings, and investment; housing principles covering orientation, ventilation, lighting, and sanitation; interior design elements (colour, space, texture, line, form); consumer education covering rights and responsibilities under Consumer Protection Act 2019; consumer redressal mechanisms; and sustainable and eco-friendly living practices.

Classification of textile fibres including natural (cotton, wool, silk, linen), synthetic (polyester, nylon, acrylic), and regenerated (viscose, modal, lyocell); yarn construction methods (ring spinning, open-end spinning); fabric construction including weaving (plain, twill, satin weaves), knitting (warp and weft knitting), and non-woven fabrics; dyeing methods (direct, reactive, disperse, acid dyes); printing techniques (screen, block, digital, resist printing); fabric finishing processes (mercerising, calendering, fire-proofing); clothing construction and pattern making basics; textile testing methods (tensile strength, abrasion resistance, colour fastness); and care labelling standards and laundering principles.

Philosophy, principles, and history of extension education in India; communication process covering sender, message, channel, receiver, and feedback; barriers to effective communication; teaching and learning methods including farm visits, demonstrations, group discussions, and audio-visual aids; rural development programmes (MGNREGA, PMAY-G, PMFBY, Skill India); women empowerment schemes (Beti Bachao Beti Padhao, Mahila Shakti Kendra); community health and hygiene programmes; programme planning, implementation, and evaluation; role of NGOs, ASHA workers, and Anganwadi centres in community health; and self-help groups (SHGs) and microcredit models.

Types of communication (verbal, non-verbal, written, digital); communication models; mass media in extension covering print (leaflets, posters, newsletters), electronic (radio, television), and digital (social media, mobile apps); management of home science institutions and extension agencies; event management; public relations; and leadership development and group dynamics.

Major critical movements including New Criticism, Structuralism, Post-Structuralism, Deconstruction (Derrida), Feminism, Post-colonialism, Marxism, and Reader-Response criticism; key critics including Aristotle, Longinus, I.A. Richards, T.S. Eliot, F.R. Leavis, and Northrop Frye.

Old English (Beowulf) and Middle English literature (Chaucer); Renaissance drama and poetry; Restoration and 18th century (Dryden, Pope, Swift); Romantic period (Wordsworth, Keats, Shelley, Blake); Victorian literature (Dickens, Hardy, Tennyson, Browning); and Modernism (Woolf, Joyce, Eliot, Yeats).

American literary traditions (Whitman, Hemingway, Faulkner, Morrison); postcolonial literatures in English (Achebe, Rushdie, Ngugi, Walcott, Coetzee); diaspora writing; and Indian writing in English (Tagore, Narayan, Desai, Ghosh, Roy).

Phonetics and phonology; morphology; syntax; semantics and pragmatics; discourse analysis; sociolinguistics (language and society, bilingualism, language change); and applied linguistics covering language teaching and language acquisition.