
NM combines mathematics, applied mechanics and structures, fluid mechanics and marine hydrodynamics, naval architecture and ocean engineering, and thermodynamics and marine engineering.
Naval Architecture and Marine Engineering is tested within a 100-mark paper. The unit list below separates subject coverage from General Aptitude and explains the applicable section choices.
| Unit | Topics |
|---|---|
| Engineering Mathematics | Determinants and matrices, Systems of linear equations, Eigen values and eigen vectors. Functions, gradient, divergence, curl, chain rules, partial derivatives, directional derivatives, definite and indefinite integrals, line surface and volume integrals, theorems of Stokes, Gauss and Green. Linear, non -linear, first and higher order ordinary and partial differential equations, separation of variables.; Laplace transformation, analytical functions of complex variables, Fourier series, numerical methods for differentiation and integration, complex analysis, probability and statistics. |
| Applied Mechanics and Structures | Engineering Mechanics: Free-body diagrams and equilibrium; Mechanics of Materials: Stress and strain, elastic constants, Poisson’s ratio; Vibrations: Free and forced vibration of damped and undamped systems, single and multi DOF systems. |
| Fluid Mechanics and Marine Hydrodynamics | Fluid Mechanics: Fluid properties; Boundary layer theory- Prandtl’s boundary layer equations, criterion for separation, Blasius solution, Skin friction, displacement thickness, momentum thickness, Turbulent boundary layer, Boundary layer control. Airfoils - Lift, drag, circulation, pressure distribution -theory of thin aerofoils, wings of infinite and finite span, circulation distribution, Cavitation.; Vorticity and Kelvin’s theorem, Potential flow theory, Sources, Sinks and Doublets, hydrodynamic forces in potential flow, D’Alembert’s paradox, added -mass, slender-body theory, hydrodynamic model testing, scaling laws, application of potential theory to surface waves, energy transport, wave/body forces, linearised theory of lifting surfaces. |
| Naval Architecture and Ocean Engineering | Ship geometry and physical fundamentals - Archimedes’ principle, buoyancy and weight of ship, laws of flotation, heel and trim, stable and unstable equilibrium of ships, importance of streamlined hull shape, ship main particulars, hydrostatic calculations,; Stability and Trim of Ships: Statical stability at small angles of heel, Inclining experiment. Shift of centre of gravity due to addition or removal of mass, transverse movement of mass and effect, Free surface effect, Effect of; suspended mass, Stability at large angles of heel, angle of loll, curves of statical stability, dynamical stability, Probabilistic and deterministic Damage Stability Different Characteristic curves of dynamic stability. Floodable length calculations and curves. Loss of stability due to grounding, docking stability. |
| Thermodynamics and Marine Engineering | Thermodynamics: First law of thermodynamics - Closed system undergoing a cycle; Marine Diesel Engines: General engine principles, Low speed and medium speed diesel engines, Two and Four stroke engines, Scavenging and turbo charging, Fuel oil system, Lubricating oil systems, cooling systems, torque and power measurement, Starting air systems and reversing systems, controls and safety devices, Couplings and Gearboxes, Specific Fuel Consumption. Waste heat recovery system, MARPOL regulations and Energy Efficiency Design Index (EEDI), Ship Energy Efficiency Management Plan (SEEMP).; Marine Steam Turbines: Types of turbines, compounding, reheat, turbine construction, rotors, blades, casing, Gland sealing, diaphragms, nozzles, bearings etc. Lubrication systems, expansion arrangements, Gearings. Marine gas turbines – fundamentals of G.T, Structure of gas turbines, gearing, operational features, controls, combined cycles. Nuclear propulsion – physical principles of the operation of nuclear reactors – use of nuclear propulsion on seagoing vessels, Electrical Propulsion, |
| Section | Marks | Selection |
|---|---|---|
| General Aptitude | 15 | Compulsory |
| Engineering Mathematics | 13 | Part of the subject paper |
| Core subject | 72 | All listed technical units are in scope |
There is no optional subject block in this paper. The syllabus defines what can be tested; it does not offer a choice to replace one subject with another. Leaving a question unanswered earns zero, but it does not reduce the set of topics that may appear.
Engineering Mathematics carries 13 marks within the subject portion.
| Aptitude area | Coverage |
|---|---|
| Verbal | Tenses, articles, adjectives, prepositions, conjunctions, verb-noun agreement and other parts of speech; words, idioms and phrases in context; reading comprehension and narrative sequencing |
| Quantitative | Data graphs, 2D/3D plots, maps and tables; numerical computation and estimation; ratios, percentages, powers, exponents, logarithms, permutations and combinations, series, mensuration, geometry, elementary statistics and probability |
| Analytical | Deduction, induction, analogy, numerical relationships and reasoning |
| Spatial | Translation, rotation, scaling, mirroring, assembling, grouping, paper folding and cutting, patterns in two and three dimensions |
Connect hydrostatics and stability with ship geometry before moving to resistance and propulsion. Keep vessel stability calculations separate from the strength and stress calculations for its structure.
| Question type | Wrong-answer deduction |
|---|---|
| One-mark MCQ | 1/3 mark |
| Two-mark MCQ | 2/3 mark |
| MSQ / NAT | No negative marking; MSQ requires the complete correct set |
Choose questions by current topic and paper code from GATE question papers.
*The article might have information for the previous academic years, please refer the official website of the exam.
For the UG Engineering courses, candidates need to have 10+2 with 45% for the general category. However, the aggregate percentage will be 40% for SC/ST/OBC. For the PG Engineering courses, candidates need to have graduation with 50% and 45% for the SC/ST/OBC.
The Fee for the B.Tech Computer Science and Engineering at VIT University is INR 1.73 Lakhs with an INR 3k caution deposit which is refundable and a One-time payment only.
Pt. Ravishankar Shukla University (PRSU) in Raipur, Chhattisgarh offers a variety of interdisciplinary research opportunities, including:
Interdepartmental linkage
Research opportunities include herbal drug technology, university industry, and centers for cognitive, translational, nano-science, and geriatrics.
School of Regional Studies and Research
Research opportunities include rural development, anthropology, sociology, psychology, economics, geography, history, linguistics, literature, medical science, home science, social work, education, agriculture, and management.
School of Studies in Environmental Science
Research opportunities include renewable energy, water pollution, soil pollution, heavy metal pollution, air quality monitoring, and analysis.
School of Studies in Biotechnology
Research opportunities include bioprocess engineering, fungal biotechnology, bio-fuel technology, environmental biotechnology, and plant physiology.
Center for Basic Sciences (CBS)
Research opportunities include Inspire Internship Camps, which attract talented youth to take up research by working with scientists like Nobel Prize Winners.