GSET Syllabus: For Mathematical Sciences

• Analysis- Elementary set theory, finite, countable, and uncountable sets, Real number system as a complete ordered field, supremum, infimum, archimedean property, Metric spaces, connectedness, etc.
• Linear Algebra- Vector spaces, linear dependence, basis, dimension, algebra of linear transformations, subspaces, Eigenvalues and eigenvectors, Algebra of matrices, rank, etc.
• Complex Analysis: The complex plane, polynomials, power series, Algebra of complex numbers, transcendental functions such as exponential, trigonometric and hyperbolic functions, Analytic functions, etc.
• Algebra- Combinations, pigeon-hole principle, inclusion-exclusion principle, Permutations, Derangements, Fundamental theorem of arithmetic, divisibility in Z, congruences, Chinese Remainder Theorem, etc.
• Topology: basis, dense sets, connectedness and compactness, subspace and product topology, separation axioms.
• Ordinary Differential Equations (ODEs)- Existence and uniqueness of solutions of initial value problems for first-order ordinary differential equations, singular solutions of first-order ODEs, a system of first-order ODEs, General theory of homogeneous and non-homogeneous linear ODEs, etc.
• Partial Differential Equations (PDEs): Method of separation of variables for Laplace, Heat, and Wave equations, Classification of second-order PDEs, General solution of higher-order PDEs with constant coefficients, etc.
• Numerical Analysis- Numerical solutions of algebraic equations, Rate of convergence, Solution of systems of linear algebraic equations using Gauss elimination and Gauss-Seidel methods, etc.
• Calculus of Variations: Euler-Lagrange equation, Variation of a functional, Necessary and sufficient conditions for extrema. Variational methods for boundary value problems in ordinary and partial differential equations.
• Linear Integral Equations: Characteristic numbers and eigenfunctions, resolvent kernel, Linear integral equation of the first and second kind of Fredholm and Volterra type, Solutions with separable kernels.
• Classical Mechanics: Lagrange’s equations, Generalized coordinates, Hamilton’s canonical equations, Hamilton’s principle and the principle of least action, Euler’s dynamical equations for the motion of a rigid body about an axis, the theory of small oscillations, Two-dimensional motion of rigid bodies.
• Descriptive statistics, exploratory data analysis, Sample space, Bayes theorem, Modes of convergence, Limit theorems (i.i.d. case), Independent random variables, etc.

GSET 2022 Syllabus: For Physical Sciences

Part A ” Core”

• Mathematical Methods of Physics- Dimensional analysis, Linear algebra, matrices, Vector algebra, and vector calculus, matrices, Cayley-Hamilton, Central limit theorem, etc.
• Classical Mechanics- Newton’s laws, relativistic kinematics, and mass-energy equivalence, Non-inertial frames and pseudo forces, Conservation laws and cyclic coordinates, etc.
• Electromagnetic Theory- Electrostatics: Gauss’s law and its applications, Magnetostatics: Biot-Savart law, Ampere’s theorem, dary value problems, Magnetostatics: Biot-Savart law, etc.
• Quantum Mechanics- Wave-particle duality, Tunneling through a barrier, Motion in a central potential: orbital angular momentum, etc.
• Thermodynamic and Statistical Physics- Laws of thermodynamics and their consequences, Maxwell relations, Thermodynamic potentials, phase equilibria, etc.
• Electronics and Experimental Methods- Semiconductor devices (diodes, junctions, transistors, field-effect devices, homo- and hetero-junction devices), Operational amplifiers and their applications, etc.

Part B ” Advanced”

• Mathematical Methods of Physics- Green’s function, Finite difference methods, Tensors, Elements of computational techniques: the root of functions, interpolation, extrapolation, integration by trapezoidal and Simpson’s rule, etc.
• Classical Mechanics- Dynamical systems, invariance, and Noether’s theorem. Hamilton-Jacobi theory, etc.
• Electromagnetic Theory- Dispersion relations in plasma, Transmission lines and waveguides, etc.
• Quantum Mechanics- Relativistic quantum mechanics: Klein-Gordon and Dirac equations, etc.
• Thermodynamic and Statistical Physics- Diamagnetism, paramagnetism, and ferromagnetism. Ising model, etc.
• Electronics and Experimental Methods- Linear and nonlinear curve fitting, chi-square test, amplification (Op-amp based, instrumentation amp, feedback), etc.
• Atomic & Molecular Physics- Quantum states of an electron in an atom, Quantum states of an electron in an atom, etc.
• Condensed Matter Physics- Josephson junctions, Superfluidity, Defects and dislocations, Ordered phases of matter: translational and orientational order, etc.
• Nuclear and Particle Physics- Nature of the nuclear force, a form of nucleon-nucleon potential, charge-independence, and charge-symmetry of nuclear forces. Deuteron problem, etc.

GSET 2022 Syllabus: For Chemical Sciences

• Inorganic Chemistry- Chemical periodicity, Transition elements, and coordination compounds: structure, bonding theories, spectral and magnetic properties, reaction mechanisms, etc.
• Physical Chemistry- Basic principles of quantum mechanics, Approximate methods of quantum mechanics, Atomic structure and spectroscopy, Chemical bonding in diatomics, Chemical applications of group theory, Molecular spectroscopy, etc.
• Organic Chemistry- IUPAC nomenclature of organic molecules including regio- and stereoisomers, Principles of stereochemistry, Aromaticity, Chemistry of natural products, Pericyclic reactions, Asymmetric synthesis, etc.
• Interdisciplinary topics- Chemistry in nanoscience and technology, Catalysis and green chemistry, Medicinal chemistry, Supramolecular chemistry, Environmental chemistry.

GSET 2022 Syllabus: For Life Sciences

• Molecules and their Interaction Relevant to Biology
• Cellular Organization
• Fundamental Processes
• Cell Communication and Cell
• Developmental Biology
• Methods in Biology
• Applied Biology
• Evolution and Behavior, etc.

GSET 2022 Syllabus: For Sanskrit

• General Introduction of Vedic Literature: Main theories regarding the Vedās, Saṁhitā Literature, Dialogue Hymns, Brāhamaṇa-Literature, Āraṇyaka Literature, Vedāṅgas.
• Specific Study of Vedic Literature
• Darśana
• Darśana Literature: Special Study- Īśvarakṛṣna, Bādarāyaṇa, Laugākṣibhāskara; Arthasaṁgraha, etc.

GSET 2022 Syllabus: For History

• Negotiating the Sources: Archaeological sources: Exploration, Excavation, Myths, Legends, etc.
• Pastoralism and Food production
• Indus/Harappa Civilization
• Vedic and later Vedic periods
• Expansion of State system
• From State to Empire: Rise of Magadha
• Dissolution of Empire and Emergence of Regional Powers
• Gupta Vakataka age, etc.
• Society and Culture
• Sources of Modern Indian History
• Colonial Economy
• Rise of Indian Nationalism, etc.

GSET 2022 Syllabus: For Sociology

• Classical Sociological Traditions
• Structural- Functionalism, and Structuralism
• Hermeneutic and Interpretive Traditions
• Postmodernism, Post Structuralism and Post Colonialism
• Indian Thinkers
• Conceptualizing Social Reality
• Social Change and Processes
• Rural and Peasant Society
• Urban Society
• Political Processes in India
• Social Movements and Protests
• Science, Technology, and Society,etc.

GSET 2022 Syllabus: For Economics

• Micro Economics
• Macro Economics
• Statistics and Econometrics
• Mathematical Economics
• International Economics
• Public Economics
• Money & Banking
• Growth and Development of Economics
• Environmental Economics and Demography
• Indian Economy

GSET 2022 Syllabus: For Political Science

• Political Theory
• Political Thought
• Indian Political Thought
• Comparative Political Analysis
• International Relations
• India’s Foreign Policy
• Political Institutions in India
• Political Processes in India
• Public Administration
• Governance and Public Policy in India

GSET 2022 Syllabus: For Psychology

• Emergence of Psychology
• Research Methodology and Statistics
• Psychological testing
• The biological basis of behavior
• Attention, Perception, Learning, Memory, and Forgetting
• Thinking, Intelligence and Creativity
• Personality, Motivation, emotion, stress, and coping
• Social Psychology
• Human Development and Interventions
• Emerging Areas

GSET 2022 Syllabus: For English

• Drama
• Poetry
• Fiction, Short story
• Non-Fictional Prose
• Language: Basic concepts, theories, and pedagogy. English in Use.
• English in India: history, evolution, and futures
• Cultural Studies
• Literary Criticism
• Literary Theory post World War II
• Research Methods and Materials in English

GSET 2022 Syllabus: For Library and Information Science

• Data, Information, Knowledge, and Wisdom
• Historical Development of Libraries in India; Committees and Commissions on Libraries in India.
• Information Sources – Nature, Characteristics, Types, and Formats.
• Computer Technology
• Library Automation
• Research – Concept, Purpose, Functions, Scope, and Ethics; Types of Research – Basic and Applied, Interdisciplinary and Multidisciplinary.
• Academic Library and Information System

GSET 2022 Syllabus:For Law

• Jurisprudence
• Constitutional & Administrative Law
• Public International Law & IHL
• Law of Crimes
• Law of Torts & Consumer Protection
• Commercial Law
• Family Law
• Environment & Human Rights Law
• Intellectual Property Rights & Information Technology Law
• Comparative Public Law & Systems of Governance

GSET 2022 Syllabus: For Commerce

• Business Environment and International Business
• Accounting and Auditing
• Income-tax and Corporate Tax Planning
• Legal Aspects of Business
• Business Finance
• Business Economics
• Business Management and Human Resource Management
• Business Statistics and Research Methods
• Banking and Financial Institutions
• Marketing Management

GSET 2022 Syllabus: For Management

• Management
• Functions
• Communication
• Decision Making
• Managerial Economics
• Value-Based Organisation
• Group Behaviour
• Emotions and Stress Management
• Capital Structure, etc.

GSET 2022 Syllabus: For Computer Science & Applications

• Discrete Structures and Optimization
• Computer System Architecture
• Data Structures and Algorithms
• Data Communication and Computer Networks
• Artificial Intelligence (AI)

GSET 2022 Syllabus: For Earth Science

• Earth, Atmospheric, Ocean & Planetary Sciences
• Mineralogy & Petrology
• Structural Geology & Geotectonics
• Paleontology & Its Applications
• Sedimentology & Stratigraphy
• Physical Meteorology
• Atmospheric Electricity
• Cloud Physics
• Chemical Oceanography

GSET 2022 Syllabus: For Physical Education

• Teaching Aptitude
• Recreation
• Physical education and adapted physical education
• Social aspects of sports
• Muscle
• Neuro
• Management- its principles and theories

GSET 2022 Syllabus: For Home Science

• Food Science & Food Service Management
• Nutrition & Dietetics
• Textiles
• Apparel Designing
• Resource Management & Consumer Issues
• Housing & Interior Design
• Child/Human Development
• Family Studies
• Communication for Development
• Extension Management & Community Development

GSET 2022 Syllabus: For Social Work

• Nature and Development of Social Work
• Areas of Social Work Practice
• Research in Social Work
• Social Work with Individuals and Groups
• Indian Constitution, Social Justice, Human Rights, and Social Work Practice