GITAM Science Admission Test GSAT 2016 Syllabus : M.Sc Admission

Organisation : GITAM University
Announcement : GSAT-2016 GITAM Science Admission Test

Syllabus : https://www.gitam.edu/
Home Page : https://www.gitam.edu/

SYLLABUS FOR GSAT M.Sc Applied Mathematics :

Postgraduate Programs :
** M.Sc. Analytical Chemistry

Related : GITAM GAT 2016 : www.entrance.net.in/8302.html

** M.Sc. Applied Mathematics
** M.Sc. Biochemistry
** M.Sc. Bioinformatics
** M.Sc. Biotechnology
** M.Sc. Electronics Science
** M.Sc. Environmental Sciences
** M.Sc. Food Science & Technology
** M.Sc. Microbiology
** M.Sc. Organic Chemistry
** M.Sc. Physics
** M C A (Master of Computer Applications)

(TEST CODE NO: 101)
SECTION-A (15 marks)
REAL NUMBERSYSTEM, SEQUENCES AND SERIES:
Field axioms, Dedikind’s axiom, Bolzano weistrass’s theorem, Countability of sets, Sequences and their limits, Subsequences, Convergence and Divergence of sequences, Limit of a sequence, Cauchy sequences, Cauchy general principle of convergence, Definition of infinite series, necessary condition for convergence, Comparison test, nth root test, Ratio test, Integral test, Alternating series, Leibnitz test, Absolute convergence and Conditional convergence

LIMITS, CONTINUITY, DIFFERENTIATION AND INTEGRATION :
Real valued functions, Limit of a function, Algebra of limits, Continuity of a function at a point, Uniform continuity, Derivative, Mean value theorems, Taylor’s theorem Riemann integral, Riemann integrable functions, Fundamental theorem on integral calculus

VECTOR CALCULUS :
Vector differentiation, Ordinary derivatives of vectors, Space curves, Continuity, Differentiability, Gradient, Divergence, Curl operators, Formulae involving these operators. Vector integration, theorems of Gauss and Stokes, Green’s theorem in plane and applications of these theorems.

SECTION-B : (20 marks)
RINGS :
Definition and basic properties, Fields, Integral domains, divisors of zero and cancellation laws, Integral domains, the characteristic of ring, some non-commutative rings, matrices over a filed, homomorphism of rings-definition and elementary properties, maximal and prime ideal, prime fields

VECTOR SPACES :
Vector spaces, Vector subspaces, Linear span, linear sum of two subspaces, linear independence and dependence of vectors, basis of vector space, finite dimensional vector spaces, linear transformations, linear operators, Range and Null space of linear transformation, Rank and Nullity of linear transformations

INNERPRODUCT SPACES :
Inner product spaces, Euclidean and unitary spaces, Norm or length of a vector, Schwartz inequality, orthogonality, orthonormal set, complete orthonormal set, Gram-Schmidt orthogonalization process

SECTION-C : (25 marks)
DIFFERENTIAL EQEUATIONS :
Linear differential equations, Exact differential equations, Simultaneous differential equations, orthogonal trajectories, equations solvable for p,x,y, solution of homogeneous linear differential equations of order n with constant coefficients, method of variation of parameters

SOLID GEOMETRY :
Equation of plane, equation of line, angle between a line and a plane, the shortest distance between two lines, definition and equation of the sphere, intersection of a sphere and a line, power of a point, tangent plane, plane of contact, polar plane, pole of a plane, conjugate points, conjugate planes, radical plane, coaxial system of spheres

MATRICES :
Determinants, properties of determinants, elementary matrix operations and elementary matrices, the rank of a matrix and matrix inverse, system of linear equations, eigenvalues and eigenvectors, diagonalization, Caley-Hamilton theorem

GROUPS :
Groups, subgroups and cyclic groups, Permutations, Isomorphism-definition and elementary properties, Cayley’s theorem, Groups of Cosets, Normal subgroups-factor groups, the fundamental theorem of homomorphisms

M.Sc. Biotechnology Syllabus :

FOR ADMISSION TO Biochemistry/ Bioinformatics/ Microbiology/Food Science & Technology :
(TEST CODE NO: 104)
SECTION – A : (15 bits: 15 Marks)
Classification, structure, properties, functions, metabolic pathways and disorders of carbohydrates, lipids, amino acids, proteins and nucleic acids. Laws of thermodynamics, concepts of free energy, entropy and enthalpy. Activation energy, rate of reaction, order of reaction and factors influencing the rate of a reaction. Nomenclature, preparation and properties of Alkanes, Alkenes, Alkynes. Aromaticity. Isomerism. Acid-base theories, oxidation-reduction reactions, pH and buffers. Solutions. Organic reactions – addition, substitution, free radical reactions and elimination reactions.

SECTION – B : (20 bits: 20 Marks)
Structure of Prokaryotic and Eukaryotic cells. Structure and composition of Plasma membrane. Cell division – Mitosis and Meiosis. Ultra structure and functions of Cell organelles. Photosynthesis and photorespiration. Biological nitrogen fixation, Nitrogen cycle and Phytohormones.

Principles of Mendelian inheritance, back cross and test cross. Linkage and crossing over. Sex linkage, Sex determination and Cytoplasmic inheritance. Mutations. Biosphere, Biodiversity, Plant succession, Biological pyramids, food chain, food web. Theories of Organic Evolution.

Classification invertebrates and vertebrates. Structure and function of kidney, liver and heart. Physiology of muscle and nerve. Digestion and absorption of food. Vitamins, hormones and Mineral metabolism. Calorific value of food stuffs, Respiratory quotient, BMR.

SECTION – C : (25 bits: 25 Marks)
Nomenclature and classification of Enzymes. Factors affecting enzyme activity– Temperature, pH, substrate concentration. Enzyme inhibition, Coenzymes, metalloenzymes, allosteric enzymes, and isoenzymes.
DNA replication, transcription and translation in prokaryotes and eukaryotes.

Principles and applications of chromatography, electrophoresis, centrifugation, Spectroscopy and microscopy. Application of radio isotopes in biological sciences. Genetic engineering; cloning vectors, Blotting techniques DNA sequencing, gene transfer techniques and applications.

Concepts of immune response, cells and organs of the immune system, Antigen and antibody reactions: Precipitation and agglutination. Principle of vaccination and types of vaccines

Structure of bacteria and viruses and their classification. Bacterial staining techniques. Isolation and cultivation of Bacteria and Bacteriophages. Bacterial growth curve. Methods of sterilization and pasteurization. Clinically important bacteria and viruses. Bacterial recombination-transformation, conjugation and Transduction.