### TANCET Part III Architecture Syllabus | TANCET Part III Physics and Material Science Syllabus | Mathematics Syllabus for TANCET Part III

**11. ARCHITECTURE**

**i) Building Materials, Construction and Technology :**Lime, Brick, Stone, Clay products; Timber, Industrial timber; Paints and varnishes, Concrete, Special concrete and light weight concrete; Ferrous metals; non ferrous metals; Glass; Plastics; Eco friendly materials; Thermal insulation materials and acoustic materials. Construction techniques and practices using the above listed materials; Damp and water proofing; Pest control;; Construction systems and equipment; Pre- stressed concrete and Tensile Structures; Grids domes; folded plates; Flat Slabs. Low cost construction & appropriate technologies.

**ii) History of Architecture :**Indian architecture- Hindu and Islamic; Indo Saracenic; Secular

architecture of the princely states; Colonial and Post Independence Architecture; Works of masters such

as Charles Correa; B V Doshi; Ananth Raje; Raj Rewal; Laurie Baker; Nari Gandhi; Kanvinde.

Western architecture- Ancient Greek and Rome; Early Christian; Gothic and Renaissance; Baroque; Neo

Classicism; Chicago School and development of skyscraper; Modern architecture: Art and Crafts; Art

Noveau; Expressionism and Cubism; Bauhaus; International style; Post Modernism and De constructivism; Critical Regionalism; Theories and projects of F L Wright; Le Corbusier; Gaudi; Gropius; Aalto; Mies; Eisenmann; Zaha Hadid; Soleri; Hasan Fathy; Ando; Bawa; Gehry; Libeskind; Toyo Ito; Louis Khan; Tschumi; Greg Lynn; Assymptote.

**iii) Theory and principles of architecture :**Elements and ordering principles; Organisation of form and space; Design methodology and Creative thinking; Pattern language; Contemporary process: Diagrams, Shape grammar, fractals, Digital hybrid, Liquid architecture.

**iv) Building Services :**Water supply and distribution systems; water and waste management; Sewerage system; Electrical systems; Illumination and lighting; Air conditioning; Fire Safety; building automation and IBMS.

**v) Building Science :**Climate responsive architecture; design of solar shading devices; acoustics & building design; Architecture & Energy- Active & passive solar architecture, Day lighting & natural ventilation, Landscape designs; Landscape & environment control.

**vi) Housing; Urban Design and Town Planning :**National Housing Policy; Indra Awas Yogana; Housing standards; housing projects in India; Urban morphology of early and contemporary cities; Case Studies on urban revitalization from developed and developed economies; Planning concepts- Patrick Geddes, Ebeneezer Howard, Le Corbusier, C A Perry; Urban planning, regional planning and Urban renewal in the Indian context.

**12. PHYSICS AND MATERIAL SCIENCE**

**i) Mechanics, Heat and Sound :**Vectors – equilibrium – moment of a force – Newton’s laws of motion – gravitation – work – energy – power – Impulse and momentum – coll itions – recoil. Thermometry of thermal expansion – calorimetry and specific heats – transfer for heat – thermal process of matter – Law and processes of thermodynamics – Applications. Travelling waves – oscillations – spring – simple pendulum – forced oscillations – resonance – sound waves –Acoustic Phenomena and its applications- Doppler effect.

**ii) Light and Properties of matter :**The nature and propagation of light – reflection of refraction at plane surfaces – interference – diffraction – polarization. Elasticity – Stress-strain diagram — hydrostatics – Pressure in a fluid – Pumps – Archimede’s principle – Surface tension – Contact angle – Capillarity – hydrodynamics – Bernoulli’s equation – Applications and viscosity – Poiseuille’s law – Stokes law – Reynolds number.

**iii) Electricity and Magnetism :**Coloumb’s law – Gauss’s law – Applications – electrostatic potential – capacitors – dielectrics – current – resistance – emf – Kirchoff’s law – thermo electric effect – applications. Magnetism – magnetic effects of current – motion of charge particles in magnetic field – cyclotron – magnetic forces on current carrying conductor – Hall effect – electromagnetic induction –Faraday’s law – Lenz’s law – eddy current – Inductance – mutual and self inductance – magnetic properties of matters – diamagnetism – paramagnetism – ferromagnetism – domains– Hysteresis – alternating current – circuits containing resistance, inductance or capacitance – transformer.

**iv) Modern physics :**Emission and absorption of light – thermionic emission – photoelectric effect – atomic spectra – atom models – molecular spectra – dual nature of matter and radiation – nuclear structure – properties – natural radioactivity – nuclear stability – nuclear reactions – fission – fusion – fundamental particles – high energy physics.

**v) Solid State Electronics**: Structure and bonding in solids – properties of solids – semiconductors – intrinsic – extrinsic – PN junction – diode characteristics – Zenar diode – LED, laser diode – Photodiode –Transistor – action and characteristics – amplifier – oscillator – basic logic gates.

**vi) Electron theory of solids:**Classical free electron theory – density of states- electron in a periodic potential – origin of energy band gap – electrical conductivity – thermal conductivity – Widemann-Franz law

**vii) Dielectric and magnetic materials:**Different types of polarization – Internal field – Clausius- Mosotti equation- dielectric breakdown- applications of dielectric materials – Different types of magnetic materials – domain theory of ferromagnetism – hysteresis – hard and soft magnetic materialsapplications of magnetic materials.

**viii) Superconducting materials:**General properties of superconducting materials – Meissner effect – types of superconductors – Hi Tc superconductors- applications

**ix) Nanomaterials:**Preparation – properties – applications – Carbon nanotubes.

**13 – MATHEMATICS**

**(i) Algebra**

**Algebra:**Group, subgroups, Normal subgroups, Quotient Groups, Homomorphisms, Cyclic Groups, permutation Groups, Cayley’s Theorem, Rings, Ideals, Integral Domains, Fields, Polynomial Rings.

**Linear Algebra**: Finite dimensional vector spaces, Linear transformations – Finite dimensional inner product spaces, self-adjoint and Normal linear operations, spectral theorem, Quadratic forms.

**(ii) Analysis**

Real Analysis:Sequences and series of functions, uniform convergence, power series, Fourier series,

Real Analysis:

functions of several variables, maxima, minima, multiple integrals, line, surface and volume integrals,

theorems of Green, Strokes and Gauss; metric spaces, completeness, Weierstrass approximation

theorem, compactness.

**Complex Analysis:**Analytic functions, conformal mappings, bilinear transformations, complex

integration: Cauchy’s integral theorem and formula, Taylor and Laurent’s series, residue theorem and

applications for evaluating real integrals.

**(iii) Topology and Functional Analysis**

Topology:Basic concepts of topology, product topology, connectedness, compactness, countability and separation axioms, Ur ysohn’s Lemma, Tietze extension theorem, metrization theorems, Tychonoff theorem on compactness of product spaces. Functional Analysis: Banach spaces, Hahn-Banach theorems, open mapping and closed graph theorems, principle of uniform boundedness; Hilbert spaces, orthonormal sets, Riesz representation theorem, self-ad joint, unitary and normal linear operators on Hilbert Spaces.

Topology:

**(iv) Differential and integral Equations Ordinary Differential Equations:**First order ordinary differential equations, existence and uniqueness theorems, systems of linear first order ordinary differential equations, linear ordinary differential equations of higher order with constant coefficients; linear second order ordinary differential equations with variable coefficients, method of Laplace transforms for solving ordinary differential equations. Partial Differential Equations: Linear and quasilinear first order partial differential equations, method of characteristics; second order linear equations in two variables and their classification; Cauchy, Dirichlet and Neumann problems, Green’s functions; solutions of Laplace, wave and diffusion equations using Fourier series and transform methods.

**Calculus of Variations and Integral Equations:**Variational problems with fixed boundaries; sufficient conditions for extremum, Linear integral equations of Fredholm and Volterra type, their iterative solutions, Fredholm alternative.

(v) Statistics & Linear Programming

(v) Statistics & Linear Programming

**Statistics:**Testing of hypotheses: standard parametric tests based on normal, chisquare, t and Fdistributions. Linear Programming: Linear programming problem and its formulation, graphical method, basic feasible solution, simplex method, big-M and two phase methods. Dual problem and duality theorems, dual simplex method. Balanced and unbalanced transportation problems, unimodular property and u-v method for solving transportation problems. Hungarian method for solving assignment problems.

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