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UNIVERSITY OF KERALA

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Selection and isolation of bacteria eg: Isolation of bacteria capable of degrading PAH from oil contaminated<br />

earth.<br />

Isolation and characterization of bacteria from leaf tissues, leaf rot etc.<br />

Testing of microbial capacity to produce biologically active substances<br />

Taxonomic classification of isolated microbes<br />

Long and short term storage of microbes ( bacteria and fungi)<br />

Isolation of fungal and plant protoplasts<br />

Protoplast fusion ( PEG mediated)<br />

Study of density gradient centrifugation (using CsCl and sucrose) for isolation of cell components.<br />

Cryopreservation of cells and recovery of frozen stocks into culture.<br />

Principles of microscopy, phase contrast and fluroscent microscopy<br />

Staining: Gram, Giemsa , Trypan blue<br />

Cytotoxicity assays-L3HJ Thymidine,<br />

Constituents of blood, blood smear<br />

Separation of plant pigments by TLC<br />

Osmosis and Tonicity, slide identification of different cells,<br />

Mitosis in onion root tip.<br />

Cell culture techniques- plant cell culture only.<br />

Microbiological examination of water.<br />

Biochemical tests:<br />

IMVIC test, Catalase test, Coagulase test, Gelatinase test, Oxidase test and other related tests.<br />

REFERENCES<br />

1. Benson, Microbiological and applications, Laboratory, Manual in General Microbiology Mc Graw Hill<br />

Publications<br />

2. Gunasekharan P, Laboratory manual in Microbiology, New Age nternational Publishers.<br />

3. Cappucin J.G and N.Sherman, A Laboratory Manual, 4 th edition, Addison and Weslay.<br />

FOURTH SEMESTER<br />

08.401 ENGINEERING MATHEMATICS III<br />

(CMPUNERFHB)<br />

Credits: 04 L/T/P: 3/1/0<br />

MODULE I<br />

Complex Differentiation: Limits, continuity and differentiation of complex functions. Analytic functions-Cauchy<br />

Reimann equations in Cartesian form (proof of necessary part only) properties of analytic functions-harmonic<br />

functions. Milne Thomson method<br />

Conformal mapping: The Transformations w=1/ z , w=z 2 , w=z+1/ z , w=sin z ,w=cos z ,Bilinear transformation<br />

MODULE II<br />

Complex Integration: Line integral- Cauchy’s integral theorem-Cauchy’s integral formula. Power series-radius of<br />

convergence-Taylors and Laurents series-zeros and singularities –Residues and residue theorem. Evaluation of real<br />

definite integrals-<br />

2<br />

<br />

0<br />

f sin,<br />

cos<br />

d<br />

, f x dx<br />

MODULE III<br />

<br />

<br />

<br />

with no poles of<br />

f z<br />

on the real axis (proof of theorems not required)<br />

Numerical Techniques: Errors in numerical computation-solution of algebraic and transcendental equations by<br />

bisection method, regula false method, Newton- Raphson method. Solution linear systems by Gauss elimination and<br />

Gauss-Seidal method. Newton’s forward and backward interpolation formula. Lagranges interpolation formula.<br />

Numerical integration. Trapezoidal and Simpson’s rule. Numerical solution of ODE Taylor series method,<br />

28

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