CUET PG Syllabus 2027: 150+ Domain Papers, Subject-Wise Topics and PDF Download

Vector algebra and calculus; Matrices and determinants; Complex numbers and functions; Ordinary differential equations (first and second order); Partial differential equations; Fourier series and transforms; Laplace transforms; Numerical methods basics; Tensor analysis fundamentals

Newton’s laws; Lagrangian mechanics; Hamiltonian mechanics; Conservation laws; Central force problems; Two-body problem; Small oscillations and normal modes; Rigid body dynamics; Non-inertial frames; Special theory of relativity (Lorentz transformations, relativistic mechanics)

Electrostatics: Gauss’s law, boundary conditions, Laplace and Poisson equations; Magnetostatics: Biot-Savart law, Ampere’s law, vector potential; Maxwell’s equations; Electromagnetic waves in free space and media; Wave polarisation; Reflection, refraction, and total internal reflection; Waveguides and cavities

Wave-particle duality; Schrodinger equation; Operators and observables; Infinite square well and potential barrier; Harmonic oscillator; Angular momentum and spherical harmonics; Hydrogen atom solutions; Spin and Pauli matrices; Perturbation theory (time-independent and time-dependent); Identical particles; WKB approximation

Laws of thermodynamics; Thermodynamic potentials (free energy, enthalpy, Gibbs); Phase transitions; Maxwell relations; Kinetic theory of gases; Maxwell-Boltzmann statistics; Bose-Einstein statistics and condensation; Fermi-Dirac statistics; Partition functions; Blackbody radiation

Geometric optics; Interference (Young’s double slit, Newton’s rings); Diffraction (Fraunhofer, Fresnel); Polarisation; Lasers: Einstein coefficients, types of lasers; Holography; Atomic spectra; Bohr model; Vector atom model; LS and jj coupling; Zeeman and Stark effects

Nuclear properties (size, binding energy, spin); Nuclear models; Radioactivity and decay laws (alpha, beta, gamma); Nuclear reactions; Fission and fusion; Particle physics: quarks, leptons, gauge bosons, fundamental forces; Standard Model overview; Radiation detectors; Particle accelerators

Crystal structure and lattice; X-ray diffraction; Lattice vibrations and phonons; Free electron theory; Band theory of solids; Semiconductors: intrinsic and extrinsic; p-n junction; Transistors; Operational amplifiers; Digital logic gates; Flip-flops; ADC and DAC basics

Particle in a box; Harmonic oscillator; Rigid rotator; Hydrogen atom wavefunctions; Molecular orbital theory (LCAO, HMO); Rotational spectroscopy; Vibrational (IR) spectroscopy; Electronic spectroscopy (UV-Vis); NMR spectroscopy (chemical shift, coupling constants); ESR spectroscopy; Mass spectrometry basics

Laws of thermodynamics; Chemical potential; Gibbs and Helmholtz energies; Chemical equilibrium; Phase rule and phase diagrams; Electrode potentials; Electrochemical cells; Nernst equation; Electrolysis; Corrosion; Batteries and fuel cells

Rate laws and rate constants; Integrated rate equations; Temperature dependence (Arrhenius equation); Reaction mechanisms; Activated complex theory; Homogeneous catalysis; Enzyme kinetics (Michaelis-Menten); Heterogeneous catalysis; Adsorption isotherms (Langmuir, Freundlich); Colloids and micelles

Electronic effects (inductive, resonance, hyperconjugation); Substitution reactions (SN1, SN2); Elimination reactions (E1, E2, E1cb); Addition to alkenes and alkynes; Markovnikov and anti-Markovnikov additions; Stereoisomerism; R-S and E-Z nomenclature; Optical activity; Conformational analysis; Aromaticity and electrophilic aromatic substitution

Aldehydes and ketones; Carboxylic acids and derivatives; Amines; Heterocyclic compounds (pyridine, furan, thiophene, imidazole, indole); Amino acids and peptides; Carbohydrates (mono- and polysaccharides); Lipids; Nucleic acid structure; Alkaloids; Terpenes; Steroids

Woodward-Hoffmann orbital symmetry rules; Diels-Alder cycloaddition; Sigmatropic rearrangements; Electrocyclic reactions; Photochemical vs thermal reactions; Excited states; Norrish type I and II reactions; Photosensitisation; Chemiluminescence

Werner’s theory; Isomerism in coordination compounds; Crystal field theory; Ligand field theory; Electronic spectra of d-block complexes; Organometallics (ferrocene, Zeise’s salt, carbonyls); Fluxional molecules; Homogeneous catalysis; Bioinorganic chemistry (haemoglobin, chlorophyll, vitamin B12, nitrogenase)

Periodic trends; s- and p-block element chemistry; Lanthanides and actinides; Acid-base theories (Bronsted-Lowry, Lewis, HSAB); Gravimetric and volumetric analysis; Chromatography (TLC, GC, HPLC); Atomic absorption spectroscopy; Flame photometry; Nuclear and radiochemical methods

Vector spaces; Subspaces; Bases and dimension; Linear transformations; Matrix representation; Rank-nullity theorem; Eigenvalues and eigenvectors; Cayley-Hamilton theorem; Diagonalisation; Jordan canonical form; Inner product spaces; Gram-Schmidt orthogonalisation; Symmetric and Hermitian matrices

Real number system and completeness; Sequences (convergence, Cauchy sequences); Series and convergence tests; Continuity; Uniform continuity; Differentiability; Mean value theorems; Taylor’s theorem; Riemann integration; Uniform convergence; Power series; Functions of several variables; Partial derivatives; Multiple integrals; Metric spaces

Complex numbers and Argand plane; Analytic functions; Cauchy-Riemann equations; Complex integration; Cauchy’s theorem; Cauchy’s integral formula; Taylor and Laurent series; Isolated singularities; Residues and Cauchy’s residue theorem; Contour integration; Conformal mappings; Mobius transformations

Groups: subgroups, cyclic groups, cosets, Lagrange’s theorem, normal subgroups, quotient groups, homomorphisms, isomorphism theorems; Permutation groups; Sylow theorems; Rings: ideals, quotient rings, ring homomorphisms; Integral domains; Fields; Polynomial rings; Finite fields; Extension fields basics

First-order ODEs (separable, linear, exact, Bernoulli); Second-order ODEs (constant and variable coefficients); Method of undetermined coefficients; Variation of parameters; Laplace transforms and their application; Systems of linear ODEs; Partial differential equations: heat equation, wave equation, Laplace equation; Separation of variables; Method of characteristics; Sturm-Liouville problems

Numerical solution of equations (Bisection, Newton-Raphson); Interpolation (Newton, Lagrange); Numerical differentiation and integration (Trapezoidal rule, Simpson’s rule); Probability theory; Random variables; Distributions (binomial, Poisson, normal, t, chi-square, F); Estimation and hypothesis testing; Regression and correlation; ANOVA; Linear programming (simplex method)

Amino acids, protein structure and function; Enzyme kinetics and regulation; Carbohydrates (mono-, oligo-, polysaccharides); Lipids and membranes; Nucleotides and nucleic acids; DNA replication; Transcription; Translation; Post-translational modifications; Gene regulation (prokaryotic and eukaryotic); Signal transduction; Recombinant DNA technology; PCR; Genomics and proteomics

Prokaryotic and eukaryotic cell structure; Organelles (nucleus, mitochondria, chloroplast, ER, Golgi); Cell cycle; Mitosis; Meiosis; Mendelian genetics; Chromosomal theory of inheritance; Linkage and crossing over; Gene mapping; Mutation types; Chromosomal aberrations; Population genetics (Hardy-Weinberg); Quantitative genetics; Developmental biology; Stem cells

Plant classification (Algae, Fungi, Bryophytes, Pteridophytes, Gymnosperms, Angiosperms); Plant anatomy (root, stem, leaf structure); Photosynthesis (light and dark reactions); Photorespiration; Plant respiration; Water relations; Mineral nutrition; Plant hormones (auxin, gibberellin, cytokinin, ABA, ethylene); Seed germination; Flowering and photoperiodism; Economic botany

Animal diversity and classification; Comparative anatomy; Physiology: digestion, respiration, circulation, excretion, nervous system, endocrine system; Reproductive biology and embryology; Immunology basics; Ecology: ecosystems, energy flow, nutrient cycles; Population ecology; Community ecology; Biodiversity and conservation; Environmental biology; Evolution (Darwinism, Neo-Darwinism)

Arrays, stacks, queues, linked lists; Trees (BST, AVL, B-trees, heaps, tries); Graphs (BFS, DFS, shortest path algorithms: Dijkstra, Bellman-Ford; MST: Prim, Kruskal); Sorting algorithms (merge sort, quicksort, heapsort); Searching (binary search); Algorithm analysis (time and space complexity, Big-O notation); Dynamic programming; Greedy algorithms; Divide and conquer

Digital logic (Boolean algebra, gates, flip-flops); Processor organisation (ALU, registers, pipelining); Memory hierarchy (cache, virtual memory, paging, segmentation); I/O systems; Interrupt handling; Process management; CPU scheduling algorithms; Memory management; File systems; Deadlocks (detection, prevention, avoidance); Synchronisation (semaphores, mutex, monitors)

ER model and ER diagrams; Relational model; SQL (DDL, DML, DCL); Relational algebra; Normalisation (1NF to BCNF); Transactions and ACID properties; Concurrency control; Recovery; OSI reference model; TCP/IP model; Data link layer; IP addressing and subnetting; Routing algorithms; TCP and UDP; DNS; HTTP; Network security (cryptography basics, firewalls)

Finite automata (DFA, NFA); Regular expressions; Context-free grammars; Pushdown automata; Turing machines; Decidability and undecidability; NP-completeness; Compiler phases (lexical analysis, parsing, syntax-directed translation, code generation); C and C++ programming (pointers, structures, OOP); Java (classes, inheritance, interfaces); Software engineering (SDLC, design patterns, testing)

Old and Middle English (Chaucer’s Canterbury Tales, Beowulf); Renaissance (Shakespeare’s major plays and sonnets, Marlowe, Sidney, Spenser); Milton’s Paradise Lost; Restoration and 18th century (Dryden, Pope, Swift, Johnson); Romantic poets (Wordsworth, Coleridge, Keats, Shelley, Byron); Victorian literature (Dickens, George Eliot, Hardy, Tennyson, Browning); 20th century (Yeats, T.S. Eliot, Virginia Woolf, James Joyce, Samuel Beckett)

American literature (Walt Whitman, Emily Dickinson, Hemingway, Faulkner, Toni Morrison, Sylvia Plath); Postcolonial literature (Achebe, Walcott, Ngugi, Rushdie); Indian writing in English (Tagore, R.K. Narayan, Mulk Raj Anand, Arundhati Roy, Amitav Ghosh); African-American literature; Feminist writings

Classical criticism (Aristotle’s Poetics, Plato); Neo-classical to Romantic criticism; New Criticism (close reading, ambiguity); Russian Formalism; Structuralism (Saussure, Levi-Strauss); Post-structuralism and Deconstruction (Derrida, Barthes); Psychoanalytic criticism (Freud, Lacan); Feminist criticism; Marxist criticism; Postcolonial theory (Said, Spivak, Bhabha); Reader-response theory; Cultural studies

Phonetics and phonology; Morphology; Syntax and grammar; Semantics and pragmatics; Discourse analysis; Sociolinguistics; History of the English language; Reading comprehension (unseen passage analysis); Vocabulary in context; Error detection and sentence correction

Prehistoric cultures; Harappan Civilisation (urban features, decline theories); Vedic Age (Rig Vedic and Later Vedic); Mahajanapadas and early polities; Magadha rise; Maurya Empire (administration, Ashoka’s Dhamma); Post-Mauryan polities (Kushana, Satavahana); Gupta Age (culture, science, administration); South Indian kingdoms (Sangam, Pallavas, Chalukyas, Cholas); Economy, society, religion; Temple architecture

Arab and Turkish invasions; Delhi Sultanate (Slave, Khalji, Tughlaq, Sayyid, Lodi dynasties); Administrative and revenue systems; Vijayanagara and Bahmani kingdoms; Mughal Empire (Akbar to Aurangzeb); Mughal administration and land revenue; Bhakti movement (Kabir, Mirabai, Tulsidas, Chaitanya); Sufi movement; Regional kingdoms (Marathas, Rajputs, Bengal); Indo-Islamic architecture; Trade and economy

European trading companies; British consolidation; Socio-religious reform movements (Brahmo Samaj, Arya Samaj, Prarthana Samaj); Revolt of 1857; Peasant and tribal movements; Early Indian nationalism (Moderates vs. Extremists); Home Rule Movement; Gandhi and mass movements (Non-Cooperation, Civil Disobedience, Quit India); Communalism; Partition and Independence; Nehru era and nation-building

Renaissance and Reformation; Scientific Revolution; Industrial Revolution; French Revolution and Napoleon; Imperialism and colonialism; World War I (causes, consequences); Russian Revolution; World War II (causes, Holocaust, aftermath); Cold War; Decolonisation; Historiography: Enlightenment historiography, Annales school, Marxist historiography, Postcolonial history, Subaltern Studies (Ranajit Guha)

Liberalism (Locke, Mill, Rawls); Marxism and Neo-Marxism; Conservatism; Socialism; Anarchism; Rights and justice; Democracy (direct, representative, deliberative); State theory; Power, authority, and legitimacy; Nationalism; Feminism; Multiculturalism; Postcolonialism; Green political theory

Making of the Indian Constitution; Fundamental Rights and Duties; Directive Principles; Constitutional amendments; Parliament (Lok Sabha, Rajya Sabha, legislative process); Executive (President, Prime Minister, Cabinet); Judiciary (Supreme Court, High Courts, judicial review); Federalism and Centre-State relations; Panchayati Raj and Urban Local Bodies; Electoral system; Political parties; Coalition politics; Social movements

Theories of IR: Realism, Liberalism, Constructivism, Marxist; Cold War and post-Cold War order; United Nations system; India’s foreign policy (Panchsheel, Non-Alignment, Look East/Act East); India-Pakistan, India-China, India-US relations; Nuclear non-proliferation; Globalisation; Human security; Terrorism; Climate change diplomacy

Comparative methods; Democratic and authoritarian regimes; Westminster vs. presidential systems; Electoral systems (FPTP, PR, mixed); Political culture and socialisation; Public administration: classical to contemporary theory; Bureaucracy (Weber’s model); New Public Management; E-governance; Governance and civil society; Decentralisation; Policy analysis

Emergence of sociology; Classical thinkers (Comte, Spencer, Durkheim, Weber, Marx, Simmel, Tonnies); Structural functionalism (Parsons, Merton); Conflict theory; Symbolic interactionism (Mead, Goffman); Phenomenological sociology; Post-structuralism and postmodernism; Feminist sociology; Contemporary Indian sociological thought

Caste system (hierarchy, discrimination, reservation); Tribe and tribal movements; Religion and secularism; Family forms and marriage in India; Social stratification (caste, class, gender); Gender inequality and women’s empowerment; Agrarian structure and rural society; Urbanisation and urban problems; Communalism; Nationalism and national identity; Social movements (Dalit, environmental, feminist); Globalisation and Indian society

Family, marriage, and kinship; Education and social reproduction; Religion as social institution; Economy and society; Political institutions; Media and society; Qualitative methods (participant observation, interview, ethnography); Quantitative methods (survey, questionnaire, sampling); Content analysis; Grounded theory; Social statistics (mean, median, mode, standard deviation, correlation); Research ethics

Consumer theory (utility maximisation, indifference curves, budget constraint, demand curve derivation); Producer theory (production functions, isoquants, costs, supply curve); Perfect competition; Monopoly and price discrimination; Monopolistic competition; Oligopoly (Cournot, Bertrand, Stackelberg); Game theory (Nash equilibrium); Factor markets; General equilibrium; Welfare economics; Market failures and externalities; Public goods

National income accounting; Classical and Keynesian models; IS-LM framework; Aggregate demand and aggregate supply; Inflation: theories and measurement; Unemployment: types and Phillips curve; Consumption (Keynes, Friedman, Modigliani) and investment theories; Monetary policy; Fiscal policy; Open economy macroeconomics (Mundell-Fleming); Business cycles; Economic growth theories (Solow, endogenous growth)

Calculus for economists (optimisation, constrained optimisation, Lagrangian); Matrix algebra; Input-output analysis; Differential and difference equations; Probability theory; Probability distributions (binomial, Poisson, normal); Statistical estimation; Hypothesis testing (t-test, chi-square test, F-test); Simple and multiple regression; Time series (trend, seasonality); Index numbers

Theories of development (Lewis, Rostow, dependency theory); Poverty measurement and poverty traps; Human development (HDI, capabilities approach); Indian economy: agriculture, industry, services, infrastructure; Fiscal federalism in India; Balance of payments; Exchange rate systems; International trade theories (comparative advantage, HO model); WTO and trade policy; FDI and foreign capital; IMF and World Bank

Geomorphology: landforms, fluvial, glacial, aeolian, and coastal processes; Climatology: atmospheric structure, pressure belts, wind systems, climate classification (Koppen), global warming and climate change; Oceanography: ocean currents, tides, waves, coral reefs, ENSO; Biogeography: biomes, vegetation zones, soil formation; Remote sensing and GIS basics

Population: distribution, density, growth, migration, demographic transition; Rural settlements: types, patterns, rural-urban fringe; Urban settlements: urban hierarchy, urbanisation, urban morphology, urban problems; Agricultural geography: farming systems, Green Revolution; Industrial geography: location theories (Weber), industrial regions; Transport geography; Political geography; Cultural geography; Development geography

History of geographic thought (Classical, German school, French Possibilism, Regional synthesis, Quantitative revolution, Radical geography); Physiographic divisions of India; Drainage systems; Climate of India (monsoon, seasons, variability); Soils and natural vegetation of India; Agriculture in India; Mineral and energy resources; Industries; Population and urbanisation in India; Environmental issues in India

Accounting principles and concepts; Journal, ledger, trial balance; Final accounts (Trading, P&L, Balance Sheet); Partnership accounts (admission, retirement, dissolution); Company accounts (issue of shares and debentures); Cash flow statement; Ratio analysis; Fund flow statement; Auditing: principles, types (internal, statutory, concurrent); Audit procedures; Internal controls

Management functions (planning, organising, directing, controlling); Leadership theories (trait, behavioural, contingency, transformational); Motivation theories (Maslow, Herzberg, McGregor, Vroom); Organisational behaviour; Organisational structures; Marketing concepts and evolution; Consumer behaviour; Segmentation, targeting, positioning; Marketing mix (4Ps); Advertising and sales promotion; E-commerce and digital marketing

Cost concepts and classification; Cost-volume-profit analysis; Marginal costing vs. absorption costing; Standard costing and variance analysis; Budgetary control; Financial planning and forecasting; Capital structure theories (MM theorem, trade-off, pecking order); Sources of finance; Capital budgeting (NPV, IRR, Payback period); Working capital management; Dividend policy theories

Indian Contract Act 1872 (essentials, void agreements, breach); Sale of Goods Act 1930; Negotiable Instruments Act 1881; Companies Act 2013 (types of companies, incorporation, Memorandum, Articles, share capital); Consumer Protection Act 2019; GST basics (concept, CGST, SGST, IGST); Income Tax Act: residential status; Heads of income (salary, house property, business, capital gains, other sources); Deductions; Tax liability computation

Demand theory and elasticity; Production and cost analysis; Market forms (perfect competition, monopoly, oligopoly); National income and macroeconomic concepts; Monetary and fiscal policy basics; Measures of central tendency (mean, median, mode); Measures of dispersion (range, standard deviation, variance); Correlation; Regression; Index numbers; Time series analysis; Sampling methods