Pre-Requisite: None
Introduction to partial differential equations, linear and quasi-linear equations of first order.
Classification of integrals, Pfaffian differential equation in three variables.
Lagrange’s Method of solution and its geometrical interpretation, compatibility condition,
Charpits method, special types of first order equations.
Second order partial differential equations with constant and variable coefficients,
classification and reduction of second order equation to canonical form., characteristics.
Cauchy problem, Cauchy’s, Neumann and Dirichlet problems.
Fourier series solution of wave equation, vibrations of a string.
Method of separation of variables to solve heat equation, Laplace equation, Diffusion equation.
Integral transform method to solve second order partial differential equations.
2.Environmental Science, Technology and Management (ESTM)
Module-I: Introduction to Environmental System (10-12 Lectures)
Components of Earth System: Lithosphere, Cryosphere, Atmosphere, Hydrosphere, Biosphere
and Outer space, Science of Weather and Climate systems and their variabilities, Energy,
Water, Carbon and Nitrogen Cycles in the Atmosphere, Environmental Pollution (Air, Water,
energy and adaptation to Climate change, Observations-modeling-prediction of environmental
systems. Role of ocean on earth’s climate system no
Module-II: Green and Sustainable Technology (6-8 Lectures)
Pollution issues in Industries, Introduction to Green Technology, Emerging and sustainable
practices in Electronics, Chemical, Petroleum and Mineral Processing Industries, 12 Principles
Module-III: Environmental Economics and Policies (8-10 Lectures)
Components of Earth System: Sustainable development, economics of renewable and non-
renewable natural resources, Green growth, Environmental valuation, accounting and audit,
Carbon Trading, Command and control approach and
market-based instruments for reducing
pollutions, Environmental policies and acts (Air, Noise, Water, Forest, E-waste, Hazardous
waste acts).
3.Theory of Machines – II (TOM-II)

4.Mechanics of Solids (MOS)
Review of Elementary Mechanics of Materials, Methods of Analysis, Stress – Strain Relations,
Failure and Limits on Design. Analysis of Stress and Strain: Definition of Stress at a point,
Stress Notation, Symmetry of the stress Array on an Arbitrarily Oriented plane,
Transformation of Stress, Principal Stresses, and Other Properties, Differential Equations of
Motion of a Deformable Body, Deformation of a Deformable body, Strain Theory,
Transformation of Strain, and Principal Strains, Small – Displacement Theory, Strain
Measurements and Strain Rosettes. Theories of Failure or Yield Criteria: General Concepts.
Applications of Energy Methods. Bending of Straight Beams, Shear Center for Thin – Wall
Beam Cross Sections, Curved Beams, Axisymmetric Problems, Torsion and Elastic Stability.
5.Thermodynamics
Introduction, Thermodynamic equilibrium; Qasi-static process; Zeroth law and reference
points in thermometry; Work and heat transfer; First law for a closed system; Steady flow
energy equation; Second law: Kelvin-Planck and Clausius statements; Causes of irreversibility;
Carnot’s theorem; Absolute temperature scale; Inequality of Clausius; Entropy principle;
Entropy transfer and entropy generation; Quality of energy; Energy principle; Guoy-Stodale
theorem; Properties of a pure substance; p-v, p-T, T-s and h-s diagrams; Properties of gases
and gas mixtures, Equations of state; Law of corresponding states; Maxwell’s equations; Joule-
Kelvin effect; Clausius-Clapeyron equation; Brayton cycle; Jet propulson; Turboprop, turbojet
and ramjet engines.
Core Labs
1.Materials Testing Laboratory
Tests using UTM (Tensile test, Three point bend test, compression test etc.; Hardness tests;
Impact test; Fatigue test (Rotary and Axial); Torsion test; Cupping test; Spring compression
test; Stresses in pressure vessels; Introduction to Photoelasticity; Strain measurements using
strain gauges.
2.Machines and Mechanisms Laboratory
Breadth-I
HS2L002: Speaking and Presentation [L10S] [Dr. A Satapathy]
HS2L007: Introduction to Economics [L11S] [Dr. S Panda]
HS2L008: Macroeconomics and Business Environment [L13S] [Dr. M
Dash]
HS2L022: Language and Writing [L20S] [Dr. A K Rath]
HS2L023: Introduction to Cognition [L15S] [Dr. A Pandey]
HS3L001: Applied Organizational Psychology [L21S] [Dr. P
Bhattacharya]
HS3L005: Introduction to Indian Philosophy [L18S] [Dr. R
Venkataraghavan]
HS3L009: Fiction and Social Change [L19S] [Dr. S Krishna]
Lateral-I
ML3L011: Recent Advances in Composite Materials [L10S] (RACM)
[Dr. A Dash]
EE2L002: Transducers, Sensors and Measurements [L19S] (TSM) [Dr.
A R Deshmukh]
CE3L021: Traffic Engineering and Management [L13S] (TEM) [Dr. P P
Dey]
CS2L003: Digital Logic and System [L15S] (DLS) [Dr. D Tripathy]
EC2L008: Introduction to Signal Processing [L24S] (ISP)
PH3L002: Condensed Matter Physics [L18S] (CMP) [Dr. R Ghosh]
👉 Mid-Semester Question papers