Materials Science

Fluid statics, hydrostatic thrust on curved and planar surfaces (dams, gates), buoyancy, metacentric stability of floating bodies, and conservation of mass, momentum, and energy in pipe networks.

Fundamental atomic bonding, Bravais lattices, crystal defects, mechanical behavior (stress-strain, hardness), electrical conduction, and degradation mechanisms across metals, ceramics, and polymers.

Statics and dynamics of engineering assemblies: shear force and bending moment diagrams (SFD/BMD), pin-jointed trusses, rigid body 2D kinematics, impulse-momentum, and single-degree-of-freedom vibrations.

Algorithmic problem-solving, structured programming with Python, data structures, file I/O, modular functional decomposition, and basic embedded microcontroller hardware control.

Linear DC circuit analysis with Kirchhoff's laws, single-phase AC theory, phasors, three-phase balanced systems (Star/Delta), and domestic wiring regulations and protective devices.

Complex numbers, vector algebra, matrix algebra (eigenvalues, Gaussian elimination, diagonalization), real analysis, Taylor series, Riemann integration, and first/second-order linear ODEs.

Holistic engineering design process, customer requirement elicitation, weighted decision matrices, hands-on workshop fabrication, and embedded hardware prototyping for innovative consumer products.

Laws of classical thermodynamics, Gibbs phase rule, Clausius-Clapeyron equation, free energy-composition curves, binary phase diagrams (eutectic, peritectic), and electrochemical equilibrium.

The materials paradigm, interatomic bonding energies, unit cell geometry, reciprocal lattices, Ewald sphere, Brillouin zones, non-crystalline/semicrystalline states, and functional materials for sensors/actuators.

Orthographic and isometric projections, sectional views, assembly drawings, interpenetration curves of solids, development of surfaces, and 3D parametric solid modeling in CAD environments.

Semiconductor diodes, BJT and MOSFET transistor switching/biasing, op-amp signal conditioning circuits (amplifiers, comparators, integrators), A/D-D/A conversion, and digital combinational logic.

Numerical root finding, numerical calculus, multivariate calculus (Jacobians, Hessians, Lagrange multipliers), double integrals, first-order PDEs, and probability distributions.

Graphical user interface (GUI) development, event-driven programming on the .NET framework, forms and controls, exception handling, data binding, and relational database connectivity.

Advanced professional English, technical discourse synthesis, technical presentations, engineering process descriptions, and graphical data interpretation.

Extractive metallurgy of iron and steel, blast furnace thermochemistry, plain carbon steels, alloy steels, cast irons, TTT/CCT transformation kinetics, and solution annealing heat treatment protocols.

Polymer chemistry, step-growth and chain-growth polymerization mechanisms, Carothers equation, copolymerization kinetics, molecular weight averages, rubber compounding, and shaping operations.

Continuum stress-strain tensors, yield criteria (Tresca, Von Mises), Griffith fracture mechanics, stress intensity factors ($K_{IC}$), high-strain-rate dynamics, Goodman-Gerber fatigue life, and creep.

High-level academic research synthesis, literature review methodologies, oral technical defense, interpersonal team dynamics, and structured engineering reporting.

Single-phase and three-phase transformers, induction motor torque-speed curves, DC machines, stepper motors, industrial electric lighting, resistance/arc welding transformers, and power factor correction.

Series solutions (Frobenius method), Legendre polynomials, Bessel functions, Laplace transforms, Fourier series, and canonical classification of second-order PDEs (Hyperbolic, Parabolic, Elliptic).

Vector calculus (div, grad, curl), line/surface/volume integrals, Green's, Stokes', and Divergence theorems, complex analysis, Cauchy-Riemann equations, Cauchy's integral theorem, and residue calculus.

Linear system solvers (LU decomposition, Cholesky), non-linear systems, spline curve fitting, numerical optimization (steepest descent), Runge-Kutta ODE solvers, and shooting/finite difference BVP methods.

Engineering quantum mechanics, time-independent Schrödinger equation, Drude model, Fermi-Dirac statistics, density of states, reciprocal space, Brillouin zones, band theory, and semiconductor physics.

Chemical kinetics, reaction rate laws, Arrhenius temperature dependence, Fick's 1st and 2nd laws of solid-state diffusion, interdiffusion, Kirkendall effect, and nucleation and growth kinetics.

Ceramic powder synthesis, comminution, particle size characterization, colloid rheology, slip casting, extrusion, sintering kinetics (solid-state, liquid-phase), glazes, and advanced electro/bioceramics.

Statistical rubber elasticity, Mooney-Rivlin theory, linear viscoelasticity models (Maxwell, Kelvin-Voigt), time-temperature superposition (WLF equation), polymer melt rheology, and spherulite morphology.

Stress flow in machine parts, stress concentration, ISO limits and fits, design of power transmission shafts, belt drives, spur gears (Lewis beam strength), keys, splines, bolted/welded joints, and rolling bearings.

Kinematic velocity and acceleration diagrams for planar mechanisms, Coriolis acceleration, epicyclic gear trains, static and dynamic balancing of rotating shafts, and harmonic vibration transmissibility.

Microcontroller architectures (ARM Core, ESP32), C/C++ firmware, sensor interfacing (I2C, SPI, UART), PWM actuator control, wireless telemetry (MQTT, Wi-Fi), and PCB layout design rules.

Vector spaces, linear combinations, bases, dimension, inner product spaces, Gram-Schmidt orthogonalization, linear transformations, Cayley-Hamilton theorem, and QR matrix factorization.

Discrete and continuous distributions, confidence intervals for means and variances, hypothesis testing ($Z, t, F, \chi^2$), contingency tables, goodness-of-fit, and simple/multiple linear regression.

Complete design of complex mechanical transmissions: tractive power sizing, geometric gear progression, case-hardened alloy steels, shaft fatigue (Soderberg/Goodman), SKF bearing schedules, and production drawings.

Powder X-ray Diffraction (XRD, Bragg's law, structure factors), FTIR vibration spectroscopy, UV-Vis spectrophotometry, atomic absorption, thermal analysis (DSC/TGA), and electron microscopy (SEM, TEM, EDS).

Electrochemical corrosion thermodynamics (Pourbaix diagrams), Evans polarization diagrams, localized corrosion (pitting, crevice, intergranular), high-temperature oxidation, cathodic protection, and forensic failure analysis.

Plastic deformation mechanics, yield criteria in metal forming, bulk processes (forging, rolling, extrusion, wire drawing), sheet metal forming (deep drawing), fusion welding metallurgy (HAZ), and defect inspection.

Foundry operations (sand casting, investment casting, die casting), metal solidification dendritic kinetics, gating and riser design, powder metallurgy compaction/sintering, and metal additive manufacturing.

Natural rubber field latex composition, colloidal stabilization/destabilization, concentration techniques (centrifugation, creaming), latex compounding, prevulcanization, and dipped/foam goods manufacture.

24-week industrial internship at Consulting Engineering & Contractors (Pvt) Ltd. (CEC). Trainee Material Engineer on an RDA road rehabilitation project in Homagama. Civil materials QA/QC, asphalt plants, and Excel VBA automation.

Engineering ethics, IESL professional code of conduct, societal and environmental impact assessments (EIA), occupational health and safety (HSE) management systems, and sustainable development goals.

Multi-scale materials modeling: continuum scale Finite Element Analysis (FEA), Molecular Dynamics (MD) atomistic simulations, potential energy functions, and Density Functional Theory (DFT) quantum calculations.

Cognitive psychology, emotional intelligence, organizational behavior, interpersonal relationship dynamics, stress management, and psychological factors in leadership and decision-making.

The pinnacle engineering capstone: complete, from-scratch design of a 1.6m marine propulsion shaft for a CAT 3406C marine engine. Ansys Granta Ashby material selection (Super Duplex SAF 2507), Abaqus FEA, and cathodic protection.

Applied Finite Element Analysis (FEA) using Abaqus CAE: direct stiffness methods, iso-parametric element formulation, elasto-plastic material definitions, contact mechanics, and mesh convergence validation.

Ashby material property charts, performance indices, multi-constraint optimization, shape efficiency factors, microstructural architecture, and techno-economic material selection strategies.

Design criteria for extruded and molded plastics/rubbers: rubber springs, tires, seals, injection-molded components, hollow blow-molded containers, plastic gears, and molding troubleshooting.

Quality philosophies (Deming, Juran, Ishikawa), 7 basic quality control tools, statistical process control (SPC), quality circles, cross-functional improvement teams, and international standards (ISO 9001).

Time value of money, discounted cash flows, Net Present Value (NPV), Internal Rate of Return (IRR), Benefit-Cost Ratio (BCR), macro-economic shadow pricing, and sensitivity risk analysis.

Comprehensive 3-semester capstone research project: 'Synergistic Effects of Rice Husk Ash and Polypropylene Fiber on Modified Expanded Polystyrene Cement Mortar'. Lab mix formulation, ASTM testing, and failure mechanics.

Photovoltaic physics, SCAPS-1D perovskite solar cell simulation, lithium-ion battery electrochemistry, graphene supercapacitor fabrication, cyclic voltammetry, and high-temperature superconductors.

Biocompatibility, bone histology, metallic orthopedic alloys (316L SS, Co-Cr-Mo, Ti-6Al-4V), osseointegration, sandblasted acid-etched (SLA) surfaces, plasma-sprayed Hydroxyapatite, and cardiovascular stents.

Industrial environmental auditing, material balance and resource flow diagrams, waste cause analysis (Ishikawa diagrams), Life Cycle Assessment (LCA), green chemistry, and circular economy strategies.

Polymer mixing thermodynamics, mixing indices, compounding machinery, nano-composite dispersion, elastomer blends (NR, SBR, EPDM), and standardized mechanical/thermal testing protocols.

Die and mold steel metallurgy, hardening treatments, compression/transfer mold design, blow mold pinch-off, extrusion die land/die swell geometries, and multi-cavity injection mold runners and cooling circuits.

Physical principles and standards for industrial Non-Destructive Testing: Ultrasonic Testing (UT), Radiographic Testing (RT), Magnetic Particle Testing (MPI), Dye Penetrant Testing (DPT), and Eddy Current Testing.

Strategic management of technology, technology-strategy alignment, R&D commercialization pipelines, organizational innovation cultures, technology transfer agreements, and National Innovation Systems (NIS).

Hiragana, Katakana, and basic Kanji writing systems, conversational expressions, Japanese business and engineering etiquette, and social/cultural frameworks in Japan.