Engineering mathematics – III




НазваниеEngineering mathematics – III
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ENGINEERING MATHEMATICS – III


Contact Hours/ Week

: 3+1 (Lecture + Tutorials)

Credits :

3.5

Total Lecture Hours

: 39

CIE Marks :

50

Total Tutorial Hours

: 13

SEE Marks :

50

Sub. Code

: MAT








Module-I

Fourier Series: Periodic functions, Fourier Expansions, Half Range Expansions, Complex form of Fourier series, Practical Harmonic Analysis. Fourier Transforms: Infinite Fourier Transforms, Fourier Sine and Cosine Transforms, Properties, Inverse Transforms. 11+ 2 Hrs.

Module-II

Probability: Additional rule, conditional probability, multiplication rule, Baye’s theorem.

6 + 2 Hrs.

Module-III

Partial differential equations (P.D.E.): Formation of Partial Differential Equation, Solution of Langrange’s Linear P.D.E. of the type Pp+Qq=R. Method of Separation of Variables. 8 + 3 Hrs.

Module-IV

Applications of P.D.E.: Classification of PDE, solution of one dimensional heat wave and two dimensional Laplace’s equation by the method of separation of variables. 7 + 3 Hrs.

Module-V

Calculus of Variation: Variation of a function and a functional, Extremal of a functional, Variational problems, Euler’s equation, Standard Variational problems including geodesics, Minimal surface of revolution, hanging chain and Brochistrochrone problem.

7 + 3 Hrs.


TEXT BOOK

1

Dr. Grewal (B S).

Higher Engineering Mathematics. Ed 39.

New Delhi. Khanna Publishers. 2005.


REFERENCE BOOKS

1

Ramana (B V).

Higher Engineering Mathematics.

Tata-McGraw Hill.

2

Kreyszig (Erwin).

Advanced Engineering Mathematics. Ed 8.

New Delhi. John Wiley & Sons.

3

Wylie (Ray C).

Advanced Engineering Mathematics. Ed 4.

New Delhi. McGraw Hill.

4

Pipes and Harvill.


Applied Mathematics for Engineers and Physicists. Ed 3.

New Delhi. McGraw Hill.



ENVIRONMENTAL SCIENCES

Contact Hours/ Week

: 2 (Lecture)

Credits :

0

Total Lecture Hours

: 26

CIE Marks :

50

Sub. Code

: MC1

SEE Marks :

50


Module-I

Environment and Human Activities

Introduction, component of Environment and their interaction. Ecology-Definition of ecology. Ecosystem-Types, structure and functions of ecosystem. Energy flow and mineral cycling. Food chains and food webs. Ecological pyramids. Bio-geo-chemical cycles. Human activities-Food-world food, world food supply, undernourishment around the world and Indian food production. Shelter-Indian scenario. Economic and social security-economic security, impact of globalization and economic liberalization. Social security. 05 Hrs.

Module-II

Effect Of Human Activities On Environment

Introduction. Agriculture-effect of modern agriculture on soil and water, Ecofriendly farming system. Effects on soil micro life. Housing-effect of housing on land use and effect of building materials. Mining-Minerals in geosphere, Mining and extraction. Environmental effects of mining. Transportation-modes of transport. transport & land use, environmental effects of transport. Environmental impact assessment-steps in EIA process. Environmental impact statement (EIS) presentation and benefits of EIS. Sustainable development concepts. Action strategies for sustainable development. 05 Hrs.

Module-III
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