Semester 1:
Subject
Chapters/Topics
Brief Description
Physics (PHY-331)
Mechanics
Unit-1: Vectors Analysis - Integrals (line, surface, volume), physical significance of Gradient, Divergence, Curl; Gauss’s and Stokes theorems.
Unit-2: Frame of References and Relativity - Inertial frames, Galilean transformations, postulates of special relativity, Lorentz transformations, consequences (mass, energy relation).
Unit-3: Dynamics of Rigid Bodies - Angular momentum, moment of inertia, theorems, central forces, conservative/non-conservative forces.
Unit-4: Fluid Mechanics - Ideal fluids, equation of continuity, viscous fluids, critical velocity, Poiseuille’s equation.
Physics PHY-333
Thermal Physics
Unit-1: Basic Concepts and 1st Law of Thermodynamics - Systems, zeroth law, temperature, 1st law applications, reversible/irreversible processes.
Unit-2: 2nd Law and Entropy - Carnot’s engine/cycle, theorem, entropy changes in processes, temperature-entropy diagram. Unit-3: Thermodynamics Relationships - Clausius-Clapeyron equation, second latent heat, triple point, thermodynamic potentials.
Unit-4: Thermal Conduction - Equation of heat conduction, heat waves in rods/earth’s crust.
Mathematics (MAS-321)
Differential Equations & Vector Calculus
Equations of first order/degree (separable, homogeneous, linear, exact, integrating factors); higher-order (Clairaut’s, geometrical interpretation); vector differentiation (gradient, divergence, curl); integrals (line, surface); theorems (Gauss, Green, Stokes).
Mathematics (MAS-322)
Real Analysis - I
Real numbers (Peano axioms, induction, well-ordering, integers, division/Euclidean algorithms, rationals/irrationals, axioms, Archimedean/density theorems, bounds/completeness). Sequences: Bounded/monotonic/Cauchy, limits/convergence/divergence, theorems. Series: Convergence tests (comparison, D’Alembert, Raabe, logarithmic, De-Morgan, Bertrand, Cauchy root/condensation, absolute/conditional/uniform, integral test).
Chemistry (CHEM-414)|
Introductory Organic Chemistry
Unit-1: IUPAC classification/nomenclature. Unit-2: Structure - Electronic bonding theory, wave mechanical model, atomic orbital theory, covalent bonds, hybridization, electronegativity/polarity/resonance, hydrogen bonding. Unit-3: Reactions/Mechanisms - Electron displacement, bond fission, carbonium/carbanions, attacking reagents, mechanisms/types. Unit-4: Isomerism - Types, asymmetric carbon, chirality, configurations (R/S), optical isomerism, racemic mixtures.
Chemistry (CHEM-415)
Atomic Structure & Periodic Classification
Unit-1: Atomic structure - Quantum/wave mechanical approaches.
Unit-2: Classification/Properties - Mendeleev/modern/extended/long form; periodic properties (radii, coordination/radius ratio, variations, ionization energy, electron affinity, electronegativity).
Chemistry (CHEM-416)
Chemical Kinetics & Electrochemistry
Chemical Kinetics: Rate/order/molecularity, zero/first/second/third-order derivations, methods for order, complex reactions, temperature effects, activation energy, collision theory. Electrochemistry: Reversible/irreversible cells, EMF/free energy, Nernst equation, equilibrium, electrode potentials, applications (solubility product, pH, dissociation/hydrolysis constants). Colloidal State: Lyophilic/lyophobic, charge origin, zeta potential, electrophoresis/electro-osmosis, Tyndall effect, coagulation (Hardy-Schulze), Donnan equilibrium.
Additional (MVE-301)
Moral & Value Education
Basics: Integrating heart-head-hand, values (academic/economic/social/material/moral/spiritual). Biblical Foundation: Proverbs, Ten Commandments, Jesus’ commandments, Sermon on Mount, parables. Character Formation: Conscience, virtues, life values (marriage, belonging). God-Human-Plants-Animals: Stewardship, biotechnological/exploitation issues. Constitution: Rights, principles, duties, citizenship. Interactive: Harassment, corruption, abuse, violence, communalism, cyber crime.
Semester 2:
Physics (PHY-334)
Waves & Oscillations
Unit-1: Simple Harmonic Motion - Oscillator equation/solution, energy, examples (pendulum, spring, U-tube, torsion, Helmholtz, LCR).
Unit-2: Anharmonic Oscillator/Composition - Equation/solution, compound pendulum, g determination, Lissajous figures (equal/1:2 periods).
Unit-3: Damped/Forced Oscillations/Resonance - Damping/forced equations, power/Q factor, resonance, LCR, AC power/RMS.
Unit-4: Wave Motion - General equation, de-Broglie/uncertainty, particle/wave/group velocity, progressive/longitudinal waves, energy in stationary states.
Physics (PHY-336)
Electromagnetism
Unit-1: Electric Field/Potential - Coulomb’s/Gauss’s laws, applications (spherical/cylindrical/linear/flat charges), energy (crystal), electrical images.
Unit-2: Magnetostatics - Biot-Savart’s, fields (coil/Helmholtz/solenoid), energy, Ampere’s, earth’s magnetism, galvanometer, materials/classification, Langevin’s (para/dia), hysteresis.
Unit-3: Electromagnetic Induction - Faraday/Lenz, laws, eddy currents, mutual inductance, Maxwell’s equations, EM waves/free space, Poynting.
Unit-4: Varying Currents - CR/LR circuits, high resistance/leakage, AC/DC analysis (LC/LCR, resonance/Q, Kirchoff’s, bridges, transformer/choke)
Mathematics (MAS-351)
Real Analysis – II
Functions: Limits/theorems/evaluation, indeterminate forms, continuity/discontinuities/properties, Bolzano/Intermediate theorems, differentiability/algebra/chain rule, inverse, successive/Leibnitz, Maclaurin/Taylor/Rolle/Lagrange/Cauchy/general mean-value theorems, maxima/minima (conditions/critical/stationary/tests).
Mathematics (MAS-352)
Algebra – I
Mathematics language (propositions/quantifiers/tautologies/equivalences), sets (subsets/relations/equivalence/functions/De Morgan), well-order/Zorn’s, natural numbers (Peano/recursion), integers (division/GCD/LCM/Euclidean), rationals/reals/complexes. Groups: Groupoid/monoid/semigroup/group (Klein/Hamiltonian/general linear/properties/exponents/homomorphism). Rings: Subring/integral domain/division/field/homomorphism.
Mathematics (MAS-353)
3D Coordinate Geometry
Straight Line: Direction cosines/ratios, projections, angles. Plane: Normal/intercept/general forms, points/angles/positions/distances, intersection/pair. Straight Line/Plane: Symmetrical/non-symmetrical, through points, coplanar/skew/shortest distance, perpendicular lines. Surface: (Incomplete in source, but covers basics like spheres).
Semester 3:
Physics (PHY-431)
Atomic & Nuclear Physics
Unit-1: Atomic - Spectra origin, Bohr’s theory/hydrogen series, verification, correspondence, Bohr-Sommerfeld/shortcomings, de-Broglie/Planck/photoelectric, quantum numbers/spin/Pauli/Stern-Gerlach, X-rays. Unit-2: Nuclear - Constituents/radii/moments/binding/stability/mass defect/packing/formula/forces. Unit-3: Models/Decay - Shell/magic/liquid drop, fusion/fission, alpha-decay/Geiger-Nuttall, beta-spectrum/neutrino, gamma-decay.
Unit-4: Particles - Classification (bosons/fermions/photons/leptons/mesons/baryons/hyperons/lifetimes/decays), symmetries/conservation, quantum numbers (iso-spin/lepton/baryon/strangeness/hypercharge/quarks).
Physics (PHY-433)
Optics
Unit-1: Interference - Wave front/amplitude division, Bi-prism/thin sheet/films/wedge, Newton’s rings, interferometers (Michelson/multiple), intensity/fringes. Unit-2: Diffraction - Fresnel (half-period/zone/plate/edge/integrals/Cornu’s), Fraunhofer (single/double slit/grating/overlap/absent/dispersive). Unit-3: Polarization - Representation/Brewster/Malus/double refraction, calcite/optic axis/rays, Nicol prism, circular/elliptical/dichroism/Polaroid/production/analysis/retardation, activity/dispersion/Fresnel, polarimeters, Kerr/Faraday.
Unit-4: Resolving/Geometrical - Rayleigh/prism/grating/telescope, focal length (lenses), cardinal points/eyepieces, aberrations/removal.
Chemistry (CHEM-530)
Aliphatic Compounds
Unit-1: Ethers - Structure/prep/properties/uses. Unit-2: Carbonyl - Aldehydes/ketones structure/prep/properties. Unit-3: Carboxylic Acids - Classification/structure/prep/properties. Unit-4: Di-Carboxylic - Classification/structure/prep/properties. Unit-5: Esters - Structure/prep/properties. Unit-6: Urea - Structure/prep/properties. Unit-7: Fats/Oils - Structure/composition/properties/analysis. Unit-8: Amines - Structure/prep/properties.
Chemistry (CHEM-531)
Main Group Elements
Unit-1: Alkali/alkaline earth/p-block. Unit-2: Interhalogen/pseudo halogens.
Chemistry (CHEM-532)
Thermodynamics – I & Ionic Equilibrium
Thermodynamics: Terms/statement/reversibility/work/enthalpy/heat capacity/extensive/intensive/cyclic rule/Joule-Thomson/thermochemistry (Hess/Kirchhoff/bond/resonance), catalyzed kinetics (acid-base/enzyme/negative/inhibition/surface). Ionic: Acids/bases (Bronsted/Lewis/pH/pKa/non-aqueous/buffers/indicators), salt hydrolysis, solubility product.
Mathematics (MAS-421)
Linear Algebra -I
Rings/subrings/domains/fields, linear equations/matrices/row operations/multiplication/invertible, vector spaces/subspaces/quotient/independence/bases/dimension/coordinates, transformations (algebra/kernel/range/isomorphism/matrix/change/base/functionals/dual/transpose), polynomials (algebra/Lagrange/ideals/factorization).
Mathematics (|MAS-422)
Real Analysis – III
Functions (explicit/implicit/neighborhood/maps/limits/continuity/algebra/sequences/total/partial/directional/chain/mean-value/repeated/Taylor/maxima/minima/inverse/implicit), integration (step/upper/lower/Riemann/properties/mean-value/improper).
Mathematics (MAS-423)
Statics
Catenary (intrinsic/Cartesian/approximations), gravity (parallel/curves/plane/solid/revolution/sum/difference/three-dimensional), forces (three dimensions/central axis/wrench/pitch/screw/reciprocal/null lines/planes), equilibrium (stable/unstable/body resting).
Semester 4:
Physics (PHY-434)
Modern Optics
Unit-1: X-Rays - Origin/production/properties/Laue/Bragg’s/spectrometer/Debye-Scherrer/continuous/Bremsstrahlung/characteristic/Mosley’s.
Unit-2: Lasers - Spontaneous/induced/Einstein coefficients/principles/inversion/pumping/rate equation/cavities/characteristics/Ruby/He-Ne.
Unit-3: Holography - Principle/recording/reconstruction/properties/Bragg diffraction/storage.
Unit-4: Non-linear - Polarization origin/interactions/propagation/second harmonic/phase matching/mixing/self-focusing.
Physics (PHY-436)
Statistical Physics & Astrophysics
Unit-1: Probability/distributions (binomial/Gaussian), states (macro/micro/phase), thermodynamics/contact/quantities/ensemble average/Liouville’s.
Unit-2: Ensembles (microcanonical/canonical/grand-canonical/ideal gas/harmonic/quantities/statistics - MB/FD/BE/photon/Planck/Bose condensation).
Unit-3: Sphere (sections/circles/triangles), celestial (coordinates/sun motion/ecliptic/rising/setting/latitudes/longitudes).
Unit-4: Kepler’s/Newton’s/ecliptic/anomaly/equation/Euler’s, planets/stars/galaxy/solar system/hypotheses/earth/atmosphere/solar energy/phenomena.
Physics Lab (PHY-430)
Physics Lab. – II
Experiments: Michelson/Newton rings/Bi-prism/prism/spectrometer/grating/lenses/combination/voltmeter/ammeter/potentiometer/Leclanche/resistances/meter bridge/ballistic galvanometer/Helmholtz/deflection/vibration magnetometers (18 listed, e.g., wavelengths, refractive index, calibration, magnetic fields).
Semester 5:
Chemistry (CHEM-540)
Aromatic Compounds
Unit-1: Chlorobenzene - Structure/prep/properties/uses.
Unit-2: Nitrobenzene - Structure/prep/properties/uses.
Unit-3: Aniline - Structure/prep/properties/uses.
Unit-4: Phenols - Structure/prep/properties/uses.
Unit-5: Benzaldehyde - Structure/prep/properties/uses.
Unit-6: Benzophenone - Structure/prep/properties/uses.
Unit-7: Benzoic Acid - Structure/prep/properties/uses.
Chemistry (CHEM-541)
d & f Block Elements
Unit-1: d-block.
Unit-2: Platinum metals.
Unit-3: f-block.
Chemistry (CHEM-542)
Thermodynamics – II, Phase Equilibrium & Radiochemistry
Thermodynamics: Spontaneous/Carnot/entropy/combined laws/equation/state (energy/enthalpy/Helmholtz/Gibbs/properties). Phase Rule: Phase/component/degree/applications (one-component water/sulfur, bi-component Ag-Pb/KI-H2O). Radiochemistry: Radioactivity measurement/disintegration/equilibrium/theory/artificial transmutation/induced/nuclear energy/fission/isotopes.
Mathematics (MAS-451)
Linear Algebra-II
Determinants (functions/permutations/uniqueness/modules/multilinear/Grassman), characteristic/annihilating/invariant/subspaces/triangulation/diagonalization/decompositions/theorems, inner products/spaces/functionals/adjoints/unitary/normal/forms/spectral.
Mathematics (MAS-452)
Numerical Analysis
Algebraic equations (bisection/Regula-Falsi/iteration/Newton-Raphson/Muller/nonlinear systems), interpolation (differences/Newton/Gauss/Stirling), differentiation/integration (trapezoidal/Simpson’s), ODEs (Picard/Euler).
Mathematics (MAS-453)
Dynamics
Kinematics/kinetics (two dimensions/radial/transversal/tangential/normal/angular/relative).
Physics (PHY-531)
Quantum Mechanics
Unit-1: Inadequacy - Black body (Rayleigh-Jeans/Wien/Planck), photoelectric (results/Einstein), Compton/experiment. Unit-2: Specific Heats - Einstein/Debye; Bohr’s hydrogen (verification/correspondence/Franck-Hertz/Thomson/Wilson-Sommerfeld).
Unit-3: Wave Mechanics - Dual nature/matter waves/de-Broglie/stationary/wavelength/phase/group velocity/motion/ψ interpretation/uncertainty/applications. Unit-4: Schrodinger - Free particle/box/potential step/barrier/α-decay/deep well/3D well/harmonic oscillator.
Physics (PHY-533)
Electronics – I
Unit-1: Semiconductors - Bohr’s/atomic/energy bands/insulators/semi/conductors/types/conduction.
Unit-2: Power Supplies - PN diode/rectifiers (half/full/bridge/DC/RMS/efficiency/ripple/PIV/regulation/filters/Zener).
Unit-3: Logic - Digital/analog/number systems (decimal/binary/hex/octal/conversions/complements/arithmetic/codes - BCD/Gray/Excess-3).
Chemistry(CHEM-551)
Coordination Chemistry & Isomerism
Unit-1: Introduction/nomenclature/crystal field/valence-shell electron pair theories. Unit-2: Isomerism. Unit-3: Non-aqueous solvents.
Chemistry(CHEM-552)
Solution Chemistry & Advanced Electrochemistry
Conductance/Transference: Electrolytic/specific/equivalent/molecular/dilution effects/Kohlrausch’s/applications/transport determination. Properties/Constitution: Molar volume/parachor/refraction/polarization/dipole/Debye/Clausius-Mossotti. Cells: EMF/concentration (with/without transference/junction/chemical/fuel/applications).
Chemistry(CHEM-550)
Natural Products
Unit-1: Heterocyclic - Five-membered (pyrrole/furan/thiophene structure/prep/properties); six-membered (pyridine). Unit-2: Alkaloids - Classification/structure (coniine/nicotine/atropine/properties). Unit-3: Terpenoids - Isoprene/classification/structure/properties (mycrene/citral/camphor). Unit-4: Polymers - Addition/co/condensation/thermoplastic/thermosetting/natural/synthetic rubber. Unit-5: Spectroscopy - UV/visible/IR/NMR/mass introduction.
Mathematics (MAS-521)
Algebra- II
Groups: Euler’s φ/residue/matrix/dihedral/properties/Wilson/homomorphisms/torsion/coset/Lagrange/Poincare/Euler-Fermat/direct products/normal/quotient/fundamental/isomorphism/symmetric/alternating/Cayley’s. Rings: Properties/binomial/integral domain/division/field/characteristic/homomorphism/fractions.
Chemistry(CHEM-552)
Advanced Analysis
Metric spaces (pseudo/closed/open/separable/limit/boundary/interior/closure/continuous/maps/sequences/homomorphism/complete/compact/Bolzano-Weierstrass/Borel-Lebesgue/total boundedness/Baire/Banach/connected/dense/Fσ/Gδ/functions/Cantor/perfect/Lebesgue measure/integral/differentiation/integration/uniform/connectedness).
Mathematics (MAS-523)
Hydrodynamics
Kinematics (characteristics/Lagrange/Euler/continuity/Cartesian/polar/stream/path lines). Motion: Euler’s/dynamical/momentum/D’Alembert’s/energy. Sources/sinks/doublets/images (two dimensions/cylinders/general/motion/co-axial/initial). Motion (three dimensions/doublet/sphere). Viscosity: Coefficient/general motion/stress/principal/Stokes/Navier-Stokes.
Additional (COMP-302)
Computer Applications
Introduction (computers/HW/SW/terminology), OS (DOS/Windows), applications (MS-Word/Excel), languages/C (input/output/variables/operators/control/branching/looping), networks/internet/IT applications. Practicals: OS/software/internet/C programs.
Additional (ENV-415)
Environmental Studies – I
Multidisciplinary(definition/scope/importance/ecosystems-structure/function/energy/succession/chains/types e.g., forest/grassland/desert/aquatic). Social/Environment: Unsustainable/sustainable/urban/energy/water conservation/resettlement/ethics/climate/global warming/ozone/nuclear/wasteland/consumerism/acts (environment/air/water/wildlife/forest)/visits/studies/issues/enforcement/awareness.
Semester 6:
Physics (PHY-532)
Solid State Physics
Unit-1: Crystalline - Structure/symmetry/cube/primitive/lattice/cell/unit/atoms/coordination/packing/Miller indices.
Unit-2: Planes (cubic/reciprocal/diffraction/Bragg’s/X-ray/electron/neutron), bonding (ionic/potential/covalent/Van der Waals/metallic/hydrogen).
Unit-3: Vibrations (phase/group/defects - point/line/plane/vacancies/specific heats gases/solids/Einstein).
Unit-4: Metals (Lorentz-Drude/conductivity/Ohm’s/thermal/Kronig-Penney/Bloch/relaxation/free path/mobility/drift/superconductivity).
Physics (PHY-534)
Electronics – II
Unit-1: Bipolar Junction Transistor - Working/configurations/α/β/biasing/stabilization/JFET/MOSFET/Z/y/h parameters/interrelations. (Source cuts off, but likely continues with amplifiers, oscillators, etc.)