हेय दोस्तों कैसे हो? मैं तो नचता टपता मजे कर रिया हूँ. वैसे ये गर्मी की छुट्टी में मैंने बहुत कुछ करने की सोची है पर कितना कर पाता हूँ नहीं पता. पर कुछ तो करना है!!!

चलो आज मै अपने ब्लॉग पर आप लोगों के लिए अगले सेमेस्टर का सेलेबस खास तौर पर **PMG** लोगों के लिए है!!

*MTB 301 Differential Equations*

**Credits : 3**

Ordinary differential equations of first order: initial and boundary conditions, homogeneous

equations, linear equations, Exact differential Equation. First order higher degree equations

solvable for x, y, p. Singular solution and envelopes.

Linear differential equations with constant coefficients, homogeneous linear differential

equations, linear differential equations of second order with variable coefficients.

Series solutions of differential equations. Bessel and Legendre equations. Bessel and Legendre

functions.

*Recommended Books:*

1. Gorakh Prasad, Integral Calculus, Pothishala Private Ltd. Allahabad.

2. S. Balachandra Rao & H.R. Anuradha, Differential Equations with Applications and

Programmes, University Press, Hyderabad, 1996.

3. R.S. Senger, Ordinary Differential Equations with Integration, Prayal Publ. 2000.

4. D.A. Murray, Introductory Course in Differential Equations, Orient Longman (India),

1967.

5. E.A. Codington, An Introduction to Ordinary Differential Equations, Prentice Hall of

India, 1961.

6. B.Rai, D.P.Choudhary,Ordinary Differential Equations, Narosa Publ. 2004.

*MTB 302 Tensor &Geometry* Credits : 3

Contravariant and Covariant vectors, Transformation formulae, Symmetric and Skew

symmetric properties, Contraction of tensors, Quetient law.

Polar equation of a conic, Sphere, Cone, Cylinder, Paraboloids, Central Conicoids.

*Recommended Books:*

1 Barry Spain, Tensor Calculus, Radha Publ. House Calcutta,1988.

2 R.S. Mishra, A Course in Tensors with Applications to Reimannian Geometry.

Pothishala Pvt. Ltd, Allahabad.

3 R.J.T. Bell, Elementary Treatise on Co-ordinate geometry of three dimensions,

Macmillan India Ltd., 1994.

4 Shanti Narayan, Analytical Solid Geometry, S. Chand & Company, New Delhi.

*GLB301: PETROLOGY AND ECONOMIC GEOLOGY* Credit:4

**Section – A: Petrology**

**Unit-1: Igneous Petrology**

Magma and its composition; Phase rule application to H2O system; Common textures; Magmatic

differentiation and assimilation; Introduction to mineralogical classification; Brief petrographic

description of common igneous rocks (granite, diorite, syenite, gabbro, dolerite, basalt, rhyolite,

trachyte, pyroxenite and peridotite)

**Unit-2: Sedimentary Petrology**

Weathering and denudation of supra-crustal rocks; Origin of clastic and nonclastic sediments and

genesis of sedimentary rocks; Primary sedimentary structures; Elementary idea about texture and mineral composition of clastic and nonclastic sedimentary rocks; General classification of

sedimentary rocks; Descriptive petrography of fundamental rock types such as - conglomerate,

breccia, sandstone, limestone and shale.

**Unit-3: Metamorphic Petrology**

Definition, types and agents of metamorphism; Classification of metamorphic rocks; Metamorphic

textures and structures; Metamorphic zones and isogrades; Progressive, regional and thermal

metamorphism of pelitic, calcareous and basic igneous rocks; Common metamorphic rocks and their protoliths as given below:

slate, phyllite, schist, gneiss, hornfels, marble, quartzite.

**Section – B: Economic Geology**

**Unit-4**

Definition of ore, ore mineral and gangue; Classification of ore deposits; Chemical composition,

diagnostic characters, uses and distribution in India of the following minerals:

magnetite, hematite, chromite, psilomalane, pyrolusite, chalcopyrite, galena, sphalerite, native gold, magnesite, bauxite, pyrite, diamond, muscovite, beryl, fluorite, gypsum, barite, halite, phosphorite, talc, kyanite, graphite, asbestos, monazite and corundum; Elementary idea regarding origin, uses and distribution of coal and petroleum in India.

**Books Recommended:**

**Petrology and Economic Geology**

Best, Myron G.(2002): Igneous and Metamorphic Petrology, Blackwell Science.

Blatt, H. and Tracy, R.J. (1996): Petrology (Igneous, Sedimentary, Metamorphic), W.H. Freeman and Co., NewYork.

Brown, C. and Dey, A.K. (1955): Indian Mineral Wealth, Oxford Univ.

Ehlers, E.G. & Blatt, H (1982): Igneous, Sedimentary and Metamorphic Petrology, CBS Publ.

Huang: (1962): Petrology, McGraw Hill Book Co.

Jense, M.L., Bateman, and A.M. (1981): Economic Mineral Deposits, John Wiley and Sons.

Krishnaswamy, S. (1979): India's Minerals Resources, Oxford and IBH Publ.

Nockold, Knox and Chinner (1978): Petrology for students, Cambridge Univ. Press.

Sharma, N.L. and Ram, K.V.S. (1972): Introduction to India's Economic Minerals, Dhanbad Publ.

Winkler, H. G.F. (1967): Petrogenesis of Metamorphic Rocks, Springer–Verlag.

**GLB302: Practicals**

**Petrology**

Megascopic and microscopic study of the following rock types:

granite, syenite, nepheline syenite, diorite, gabbro, peridotite, rhyolite, trachyte, dolerite, basalt,

sandstone, limestone, conglomerate, breccia, gneiss, schist, quartzite, marble.

**Economic Geology**

Study of ore and economic minerals in hand specimens as detailed in the theory syllabus; Preparation of maps showing distribution of important metallic and non-metallic deposits and important coal and oil fields of India.

*BSC 08A: Statistics – I *

**Credit:3**

**Descriptive Statistics**

Nature and scope of Statistics: Measurement scales, primary and secondary data, Methods of

Collection of primary data, methods of data representation, text, tabular, diagrammatic and

graphical representation.

Frequency distribution and principles governing their representation, graphical representation

of frequency distributions.

Measures of central tendency and their properties, uses and limitations, partition values:

quartiles, deciles and percentiles.

Dispersion and its various measures with their properties and uses, coefficient of variation.

Central and raw moments up to fourth order, skewness, kurtosis and their measures.

Bivariate Data: Scatter diagram, correlation, product moment correlation coefficient,

regression lines and their uses, rank correlation, concept of multiple correlation and partial

correlation in case of three variables.

Concept of probability, classical and statistical definition of probability, additive and

multiplicative theorems of probability, conditional probability and Baye's theorem.

Random variable: Elementary idea of probability mass function, probability density function

and distribution function.

Binomial, Poisson and normal distributions with their properties and applications.

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