TANCET SYLLABUS FOR EARTH SCIENCES

TANCET SYLLABUS FOR EARTH SCIENCES

TANCET SYLLABUS FOR EARTH SCIENCES

PART I : ENGINEERING MATHEMATICS ( Common to all Candidates )

i) Determinants and Matrices : Solving system of equations – Rank of the Matrix – Eigenvalues and eigenvectors – Reduction of quadratic form to canonical form.

ii) Calculus and Differential Equations : Partial derivatives – Jacobians – Taylor’s expansion – Maxima and Minima. Linear ordinary differential equations with constant coefficients – Simultaneous first order linear equations with constant coefficients. Formation of partial differential equation ( PDE ) – Solution of first order PDE – Solution of linear higher order PDE with constant coefficients.

iii) Vector Calculus : Double and triple integrations and their applications – Gradient, Divergence, Curl and Laplacian – Green’s, Gauss divergence and Stroke’s theorem.

iv) Functions of Complex Variables and Complex Integration : Analytic functions – Conformal Mapping – Bilinear transformation – Cauchy’s integral theorem and integral formula – Taylor and Laurent Series – Singularities – Residues – Residue theorem and its applications.

v) Transforms : Laplace Transform – Inverse transforms – Application to solution of linear ordinary differential equations with constant coefficients. Fourier integral theorem – Fourier transform pair – Sine and Cosine transforms. -transform – Inverse Z–transform – Solution of difference equations using Z– transform.

vi) Numerical Methods : Solution of linear system by direct and iterative methods – Interpolation and approximation – Numerical Differentiation and Integration – Solving Ordinary Differential Equations.

vii) Applied Probability : Probability and Random variables – Standard Discrete and Continuous distribution – Moments – Moment generating function and their properties. Two-Dimensional Random Variables – Covariance – Correlation and Regression.

PART – II : BASIC ENGINEERING & SCIENCES ( Common to all Candidates )

i) Applied Mechanics : Law of Mechanics – Lame’s theorem – Forces, Moments and Couples – Displacement, velocity and Acceleration – Friction – Moment of Inertia.

ii) Mechanical Engineering : Laws of thermodynamics – Open and closed systems – Equation of state – Heat and Work.

iii) Physics : Sound – Latices – Ultrasonic flaw detector – X-ray radiography – Interference Fringes – Planck’s quantum theory – Laser and Fibre Optics.

iv) Material Science : Fracture – Magnetic and Dielectric materials – Conductor and Semi conductor materials – Ceramic and Super conductor materials.

v) Civil Engineering : Fluid Statics and Dynamics – Boundary Layer – Pumps and Turbines – Environmental Pollution.

vi) Electrical Engineering : Ohm’s law – Kirchoff’s law – A.C. circuits – D.C. machines – Transformers – Synchronous machines – Instrumentation.

vii) Computers : Computer organisation – Architecture – Arrays – Pointers – User defined function – C program.

viii) Chemistry : Adsorption – Chromatography – Chemical kinetics – Electrochemistry – Spectroscopy – Fuels and Combustion.

PART – III

2. EARTH SCIENCES

i) Physical Geology and Geomorphology : Weathering process, kinds, products. Internal structure of the earth, fundamentals of plate tectonics. Landforms produced by River, winds, glacier and sea. Drainage pattern, Drainage Index , geomorphic features.

ii) Mineralogy, Petrology, Stratigraphy, Paleontology and Structural Geology : Physical properties of Industrial minerals classification, origin and description of Igneous, sedimentary and Metamorphic rocks. Origin of Himalayas major earth geological events through time scale. Origin of life, types of fossils evolution of mammals & Man. Joints, Folds, Faults and structures.

iii) Economic Geology, Ore Geology, Geochemistry : Origin, occurrence and distribution of Economic mineral deposits-Iron, manganese, gold, zinc, graphite, lead, coal and petroleum deposits. Ore-dressing, ore-reserves, estimation. Major elements, application in environmental studies REE-its implication in genesis/ provenance of rocks.

iv) Remote Sensing, Geophysics and Hydrogeology : Sensors & Platforms- Indian Remote Sensing – Spectral system characteristics of rocks & minerals – Photogeology – Photogrametry – Hydrogeology – Groundwater – occurrence, movement, Aquifer, field parameters & Lab methods of estimations.

v) Engineering Geology, Environment Geology and Marine Geology : Engineering properties of Rock. Geological investigation required for Dam, Tunnel, highways and building constructions. Renewable and non-renewable resources, pollution. Continental and marine environmental studies. Ocean features, physical, chemical & biological resources of the ocean.