TANCET Architecture Syllabus 2025

Applied probability 

• Probability and random variables 
• Standard discrete & continuous distribution 
• Moments, moments generating functions (their properties)
• Two dimensional random variables 
• Covariance 
• Regression/correlation

Numerical methods 

• Approximation/interpolation 
• Direct and interactive methods for solution of linear system 
• Solution to ordinary differential equations 
• Numerical differentiation/integration 

Transforms 

• Laplace/inverse transforms 
• Fourier transform pair, fourier integral theorem
• Cosine/sine transforms 
• Inverse Z transform 
• Solving difference equations using Z transform 

Complex variables & complex integration functions 

• Integral formula & integral theorem by Cauchy 
• Series by Taylor & Laurent 
• Conformal mapping 
• Bilinear transformation 
• Singularities 
• Residue, residue theorem (its applications)

Vector calculus 

• Triple/double integrations (its applications)
• Divergence, curl, gradient, and Laplacian 
• Stroke’s theorem 
• Green & Gauss divergence

Calculus and differential equations  

• Partial derivatives 
• Minima/maxima 
• Linear simple differential equations with constant coefficients 
• Simultaneous first order linear equations with constant coefficients 
• Formation of PDE & solution to first order PDE 
• Solution of linear high order partial differential equations

Determinants and matrices 

• Matrix ranks 
• Equations solving system 
• Eigenvectors 
• Eigenvalues 
• Quadratic form reduction to canonical form 

Chemistry 

• Adsorption 
• Chromatography 
• Electrochemistry 
• Chemical kinetics 
• Spectroscopy 
• Combustion and fuels 

Computers 

• Computer organization 
• Architecture 
• Arrays 
• User defined function 

Material science 

• Super conductor & ceramic materials 
• Conductor & semiconductor materials 
• Fracture 
• Dielectric/ magnetic materials 

Physics 

• Mechanic laws 
• Lame’s theorem 
• Velocity, acceleration, and displacement 
• Friction 
• Moment of inertia 
• Moments, focus, and couples 
• Thermodynamics laws 
• Closed/open system 
• Equation of state 
• Heat & work
• Sound 
• Latices 
• Ultrasonic flaw detector 
• Interference fringes 
• X ray radiography 
• Planck’s quantum theory 
• Fibre & laser optics 
• Fluid dynamics & statics 
• Krichoff’s, Ohm’s law
• AC circuit 

History of Architecture 

• Indian architecture (Hindu & Islamic)
• Princely states secular architecture 
• Post independence & colonial architecture 
• Indo saracenic 
• Works by the famous like Ananth Raje, Raj Rewal, Nari Gandhi, Charles, and others 
• Architecture in western (Rome & Ancient Greek)
• Modern architecture 
• Art Nouveau 
• Cubism & expressionism 
• Projects & theories by Gaudi, Zaha Hadid, Hasan Fathy, and others
• Chicago school & development of skyscraper

Building materials, construction, & technology 

• Stone, clay, lime, brick products 
• Varnishes & paints 
• Industrial timber & timber 
• Light weight and special concrete 
• Non ferrous/ferrous metals
• Glass & plastics 
• Eco friendly, thermal insulation, acoustic materials 
• Damp & waterproofing 
• Controlling pests 
• Construction system & equipment 
• Grid domes/folded plates/flat slabs 
• Appropriate technologies for low cost construction 
• Tensile structures 

Principles & theories of architecture 

• Form & space organization 
• Creative thinking & design methodology 
• Ordering principles and elements 
• Contemporary processes: fractals, digital hybrid, liquid architecture, diagrams

Building service 

• Waste & water management 
• Water distribution & supply 
• Sewerage systems 
• Electrical systems 
• Air conditioning 
• Fire safety 
• IBMS and building automation 
• Lighting & illumination 
• Solar shading devices design 
• Acoustics and building design 
• Passive & active solar architecture 
• Designs of landscapes 
• Natural ventilation and day lighting 
• Environment and landscape control 

Urban design, housing & town planning 

• Indra Awas Yojana 
• National housing policy 
• Indian housing projects 
• Housing standards 
• Case studies on urban revitalization from different economies 
• Planning concepts 
• Regional/urban planning and urban renewal (in Indian context)

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