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December 6th, 2017, 02:59 PM
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Re: GITAM Entrance Exam Syllabus

Ok, I am providing you the syllabus of Gandhi Institute of Technology and Management Admission Test GITAM GET Exam

GITAM GET Exam Syllabus

The GITAM GAT syllabus mainly covers three subjects Mathematics/ Biology, Physics and Chemistry.

Section A: MATHEMATICS

Unit 1:

SETS, RELATIONS AND FUNCTIONS:
Sets and their representations, Union , Intersection and compliment of sets, and their algebraic properties , power set, Relation, Types of relation, Equivalence relation, Functions, one-one, into and onto functions, composite functions.

UNIT 2:

MATHEMATICAL INDUCTION:
Principle of Mathematical Induction and its simple applications.
MATHEMATICAL REASONING: Statements, Logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, Converse and Contra positive.

UNIT 3:

QUADRATIC EQUATIONS & THEORY OF EQUATIONS:
QUADRATIC EQUATIONS in real and complex number system and their solutions. Reminder and Factor Theorems, common Roots, General Quadratic expression, Finding the range of a function, Location of roots, Solving inequalities using location of roots.

THEORY OF EQUATIONS: The relation between the roots and coefficients in an equation; Solving the equation when two or more roots of it are connected by certain relations; Equations with real coefficients, imaginary roots occur in conjugate pairs and its consequences; Transformation of equations, Reciprocal equations.

UNIT 4:

BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:
Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

UNIT 5:

SEQUENCES AND SERIES:
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum to ‘n’ terms of special series ∑n ∑n² ∑n³ .Arithmetic – Geometric progression.

UNIT 6:

PERMUTATIONS & COMBINATIONS:
Definition of linear and circular permutations; To find the number of permutations of n dissimilar things taken ‘r’ at a time. To prove () () 1 1 1 r r r P P P n n r n – = – + – from the first principles; To find number of Permutations of n Dissimilar things taken ‘r’ at a time when repetition of things is allowed any number of times.; To find number of circular Permutations of n Different things taken all at a time.; To find the number of Permutations of ‘n’ things taken ‘r’ at a time when some of them are alike and the rest are dissimilar; To find the number of combinations of ‘n’ dissimilar things taken ‘r’ at a time; To prove
i) If r Cs n n C = then n = r+s or r=s ii) + ()1 1 r r C r C C n n n – + = +

UNIT 7:

MATRICES AND DETERMINANTS:
Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test for consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices, and rank of matrix.

UNIT 8:

VECTOR ALGEBRA:
Algebra of Vectors – angle between two non-zero vectors – Linear combination of vectors – Geometrical applications of vectors. Scalar and vector product of two, three and four vectors and their application.

UNIT 9:

THREE DIMENSIONAL GEOMETRY:
Co-ordinates of a point in space, Distance between two points, Section formula, Direction ratios and direction cosines, Angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, Intersection of a line and a plane, Coplanar lines.

UNIT 10:

TRIGONOMETRY:
Trigonometric ratios, Compound angles, multiple and sub-multiple angle, Transformations, Trigonometric expansions using Demovier’s Theorem. Trigonometric equations, Inverse Trigonometry and Heights and distances (only 2D problems).

UNIT 11:

PROPERTIES OF TRIANGLES:
Sine rule, cosine rule, Tangent rule, projection rule, half angle formulae and area of triangle. In-circle and excircle of a Triangle. Pedal Triangle, Ex-central Triangle, Geometry relation of Ex-centres, Distance between centres of Triangle. m-n Theorem, problems and quadrilateral, regular polygon, solution of Triangle (Ambiguous cases). COMPLEX NUMBERS: Definitions, Integral Power of iota(i), Algebraic operations with complex numbers, square root of a complex number, Geometrical representation of a complex number, Modz, Arg of Z, polar term of Z, Eulors form of Z, Conjugate of Z, Properties of conjugate, solving complex equations, Demovre’s Theorem, Properties of √1 3 , √1 4 , √1 ???? , Geometrical applications of complex numbers.

UNIT 12:

LIMITS, CONTINUITY AND DIFFERENTIABILITY (LCD):
Real – valued functions, algebra of functions, polynomials, and rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two.

UNIT 13:

APPLICATIONS OF DERIVATIVES:
Rate of change of quantities, Errors and approximations, Tangent and normals, maxima and minima of functions of one variable, mean value theorems (Rolle’s, lagrange’s, Intermediate value theorem).

UNIT 14:

INDEFINITE INTEGRATION:
Fundamental Integration formulae, Method of integration, Integration by parts, Integration by substitution, Integration of Rational and Irrational Algebraic functions, Integral of the form ∫ ???? (a+???? ) p???????? Integration using Euler’s substitution. Reduction formulae over indefinite integrals, Integration using differentiation.

UNIT 15:

APPLICATIONS OF INTEGRALS:
Integral as limit of a sum. Fundamental Theorem of integral calculus. Problems on all the properties of definite integrals. Libnitz rule. Determining areas of the regions bounded by curves.

UNIT 16:

CO-ORDINATE GEOMETRY:
Locus: Definition of locus; Equation of locus and its illustration on complete geometry; Translation & Rotation of axes and its illustrations STRAIGHT LINES : Different forms of straight lines, distance of a point from a line, lines through the point of intersection of two given lines, angular bisectors of two lines, Foot of perpendicular, Image point (vs) point, point (vs) line and line (vs) line. Concurrences of lines, centroid, orthocenter, incentre and circumcentre of triangle.

UNIT 17:

CIRCLES:
Equation of a circle-Standard form-centre and radius-Equation of a circle with a given line segment as diameter- Equation of circle through three non-collinear points-parametric equations of a circle. Position of a point in the plane of the circle- power of a point-Def. of a tangent-Length of tangent. Position of a straight line in the plane of the circle-condition for a straight line to be a tangent– chord joining two points on a circle – equation of the tangent at a point on the circle – point of contact – Equation of normal. Chord of contact-Pole, Polar-conjugate points and conjugate lines Equation of chord with given midpoint. Relative positions of two circles touching each other-externally, internally, common tangents-points of similitude-Equation of tangents from an external point. Angle between two intersecting circles. Conditions for Orthogonal ties. Concepts of Radical axis and Radical Centre.

UNIT 18:

PARABOLA, ELLIPSE, HYPERBOLA AND POLAR CO-ORDINATES:
a) PARABOLA: Conic sections-parabola-Equation of parabola in standard form-Different forms of parabola; parametric equations. Equation of tangent and normal at a point on the parabola (Cartesian and parametric)- condition for a straight line to be a tangent.

b) ELLIPSE: Equation of Ellipse in standard form, parametric equations. Equation of tangent and normal at a point on the Ellipse(Cartesian and parametric) condition for a straight line to be a tangent.

c) HYPERBOLA: Equation of hyperbola in standard form-parametric equations, Rectangular Hyperbola.; equation of tangent and normal at a point on the hyperbola (Cartesian and parametric) condition for a straight line to be a tangent. Asymptotes.

UNIT 19:

DIFFERENTIAL EQUALITIONS:
Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous, Non-Homogenous, linear differential equations. Bernoulli’s Equation, Orthogonal Trajectory. Applications of Differential equations.

UNIT 20:

PROBABILITIES, RANDOM VARIABLES & DISTRIBUTIONS AND STATISTICS:
PROBABILITY: Random experiment, random event, elementary events, exhaustive events, mutually exclusive events, Sample space, Sample events, Addition theorem on Probability. Dependent and independent events, multiplication theorem, Baye’s theorem.

RANDOM VARIABLES & DISTRIBUTIONS: Random variables, Distributive functions, probability distributive functions, Mean, variance of a random variable; Bernoulli trials and Binomial distributions. STATISTICS: Measures of Dispersion; Calculation of Mean, Median, Mode of grouped and ungrouped data, Calculation of Standard Deviation, Variance and Mean deviation for grouped and ungrouped data.

GITAM GAT 2017 Syllabus for SECTION A: BIOLOGY

BOTANY


Diversity in living world:
1. What is living? Biodiversity, Need for classification. Three domains of life. Taxonomy & systematic concepts of species and taxonomical hierarchy. Binomial nomenclature tools for study of Taxonomy, Herbaria, Botanical gardens.
2. Five kingdom classifications, Silent features and classification of Monera,Protista and Fuji into major groups. 3. Salient features and classification of plants into major groups. Algae (spirogyra) Bryophytes (Funenia), Ptenidophytes (Pteris), Gymnosperms (Cycas).

UNIT 2:

External morphology: Root, Stem, Leaf, Inflorescence, Flower, Fruit and Seed.

UNIT 3:

Internal Morphology:
1. Histology: Meristems, Simple tissues, Complex tissues and special tissues.
2. Tissue System: Epidermal, Ground and Vascular tissue systems.
3. Anatomy: Anatomy of Dicot and monocot root, dicot and monocot stem, dicoct and monocot leaf, secondary growth in dicot stem and dicot root.

UNIT 4:

Cell Biology:

Cell theory and cell as the basic unit of life. Structure of prokaryotic and eukaryotic cell, plant and animal cell. Cell wall, cell membrane, cell organelles structure and function 1 chromosomes.
Biomolecules: Structure and function of proteins, carbohydrates, lipids, nucleic acids, enzymes.
Cell division: Cell cycle, Mitosis and meiosis.

UNIT 5:

Plant Taxonomy:
Introduction: Principles of plant classification, brief account of Bentham & Hooker’s system. Families: Fabaceae, Asteraceae, Solenacrae, Liliaceae poaceae.

UNIT 6:

Reproduction organisms, Modes of reproduction. Asexual and sexual. Asexual regproduction – Binary fission, Sporulation, Budding, gemmule, Fragmentation, Vegetative propagation in plants.
Sexual reproduction flowering plants. Development of male and female gametophytes. Pollination types, agents. Out breeding devices, Double fertilization, post fertilization changes. Development of endosperm, embryo and seed. Apomixis, parthenocerpy, polyembryony.

UNIT – 7

Microbiology:
Bacteria and Viruses
Microbes in human welfare: In household food processing, industrial production, sewage treatment , energy generation and as bio control agents and bio fertilizers.

UNIT – 8

Human welfare:
Improvement in food production. Plant breeding, tissue culture, single cell protein, Mushroom cultivation, Bio fortification.

UNIT – 9

Biotechnology and its applications:
1. Principles and process of Biotechnology, Genetic engineering.
2. Application of Biotechnology in Agriculture and health. Human insulin and vaccine production, genetherapy, Genetically modified organisms, Bt. Crops, Trasgeric animals, Biosafety issues – Biopiracy and patents.

UNIT – 10

Plant Physiology:
1. Transport in plants: Movement of water, gases and nutrients; cell to cell transport – Diffusion, facilitated diffusion, active transport; plant-water relations – Imbibition, water potential, osmosis, plasmolysis; Long distance transport of water – Absorption, apoplast, symplast, transpiration pull, root pressure and guttation. Transpiration – Opening and closing of stomata; Uptake and translocation of mineral nutrients – Transport of food, phloem transport, Mass flow hypothesis; Diffusion of gases (Brief mention).
2. Mineral nutrition: Essential minerals, macro and micronutrients and their role; Deficiency symptoms: Mineral Toxicity; Elementary idea of Hydroponics as a method to study mineral nutrition; Nitrogen metabolism; Nitrogen cycle, biological nitrogen fixation.
3. Photosynthesis : Photosynthesis as a means of Autotrophic nutrition, Site of photosynthesis take place; pigments involved in Photosynthesis (Elementary idea); Photochemical and biosynthetic phases of photosynthesis; Cyclic and non-cyclic and photophosphorylation; Chemiosmotic hypothesis; Photorespiration C3 and C4 pathways;
4. Factors affecting photosynthesis.
5. Respiration: Exchange gases; Cellular respiration-glycolysis, fermentation (anaerobic), TCA cycle and electron transport system (aerobic); Energy relations-Number of ATP molecules generated; Amphibolic pathways; Respiratory quotient.
6. Plant growth and development : Seed germination; Phases of plant growth and plant growth rate; Conditions of growth; Differentiation, dedifferentiation and redifferentiation ; Sequence of developmental process in a plant cell; Growth regulators – auxin, gibberellin, cytokinin, ethylene, ABA; Seed dormancy; Vernalisation; Photoperiodism.

Zoology

UNIT – 1

Animal Classification:
1. Salient features (3 to 5) and two examples of Non-chordate phyla.
2. Salient features (3 to 5) and two examples of chordate classes.

UNIT – 2

Structural Organisation in animals:
1. Cockroach: Brief account of morphology, anatomy and functions of digestive circulatory, respiratory, nervous and reproductive systems.
2. Animal tissues: Epithelial, connective, muscular and nervous tissues.

UNIT – 3

Human Physiology-
Digestive and Respiratory systems:
1. Digestive System : Alimentary canal and digestive glands; Role of digestive enzymes and gastrointestinal hormones; Peristalsis, digestion, absorption and assimilation of proteins, carbohydrates and fats; caloric value of proteins, carbohydrates and fats; Egestion; Nutritional and digestive disorders-PEM, indigestion, constipation, vomiting, Jaundice, diarrhea.
2. Respiratory system: Respiratory organs in animals (recall only); Respiratory system in humans; Mechanism of breathing and its regulation in humans – Exchange of gases; transport of gases and regulation of respiration; Respiratory volumes; Disorders related respiration-Asthma Emphysema, Occupational respiratory disorders.

UNIT – 4

Circulatory and Excretory Systems:
1. Circulatory System: Composition of blood, blood groups, coagulation of blood; composition of lymph and its function; Human circulatory system – Structure of human heart and blood vessels; Cardiac cycle, Cardiac output, ECG, Double circulation; Regulation of Cardiac activity, Disorders of circulatory system – Hypertension, Coronary artery disease, Angina pectoris, Heart failure.
2. Excretory System : Modes of Excretion – Ammonotelism, ureotelism, Uricotelism; Human excretory system – Structures and function; Urine formation, Osmoregulation; Regulation of Kidney function – Renin – angiotensin, Atrial Natriuretic Factor; ADH and Diabetes insipidus; Role of other organs in excretion; Disorders; Uremia, Renal Failure, Renal calculi, Nephritis; Dialysis and artificial Kidney.

UNIT – 5

Human Physiology–Locomotion & Movement and Neuro Endocrine System:
1. Locomotion and Movement: Types of movement – ciliary, Flagellor, muscular; Skeletal muscle – Contractile proteins muscle contraction; Disorder of muscles. Myasthenia gravis, Tetany, Muscular distrophy.
2. Skeletal System and its functions: joints; Disorders of skeletal system – Osteoporosis, Arthritis, Gout.
3. Nervous System: Neurons and nerves; Nervous system in humans – central nervous system, Peripheral nervous system and visceral nervous system; Generation and conduction of nerve impulse; Reflex action; Sense organs: Elementary structure and function of eye and ear.
4. Endocrine System: Endocrine glands and hormones; Human endocrine system – Hypothalamus, Pituitary, Pineal, Thyroid, Parathyroid, Adrenal, Pancreas, Gonads; Mechanism of hormone action (Elementary idea); Role of hormones as messengers and regulators, Hypo and hyperactivity and related disorders(e.g. Dwarfism, Acromegaly, cretinism, goiter, exophthalmic goiter, diabetes,

UNIT – 6

Reproduction:
1. Human Reproduction: Male and Female reproductive systems; Microscopic anatomy of testis and ovary; Gametogenesis – Spermatogenesis & oogenesis; Menstrual Cycle; Fertilization, Embryo development upto blastocyst formation, implantation; Pregnancy and placenta formation (Elementary idea); Parturition (Elementary idea); Lactation (Elementary idea).
2. Reproductive Health: Need for reproductive health and prevention of sexually transmitted diseases (STDs); Birth control – Need and Methods, Contraception and Medical Termination of Pregnancy (MTP); Amniocentesis; Infertility and assisted reproductive technologies – IVF, ZIFT, GIFT ( Elementary idea for general awareness);

UNIT – 7

1) Heredity and Variations: Mendelian Inheritance; Deviation from Mendelism – Incomplete dominance, co-dominance, multiple alleles and inheritance of blood groups, Pleiotropy; Elementary idea of polygenic inheritance; chromosome Theory of inheritance; chromosomes and genes; Sex determination – In humans, birds, honey bee; Linkage and crossing over; Sex linked inheritance – Hemophilia, Colourblindness; mendelian disorders in humans – Thalassemia; Chromosomal disorders in humans – Down’s syndrome, Turner’s and Klinefelter’s Syndromes.
2) Molecular basis of Inheritance : Search for genetic material and DNA as genetic material; Structure of DNA and RNA; DNA packaging; DNA replication; Central dogma; Transcription; genetic code; translation Gene expression and regulation – Lac operon; Genome and human genome project; DNA finger printing.
3) Evolution: Origin of life; Biological evolution and evidences for biological evolution from Paleontology, comparative anatomy, embryology and molecular, evidence – Darwin’s contribution , Modern synthetic theory of Evolution, Mechanism of evolution – Variation (Mutation and Recombination) and Natural selection with examples, types of natural selection; Gene flow and genetic drift, Hardy – Weinberg’s principle; Adaptive Radiation ; Human evolution.

UNIT – 8

Human Health and Diseases:
1) Pathogens; Parasites causing human diseases (Malaria, Filariasis, Ascariasis, Typhoid Pneumonia, Common Cold, Amoebiasis, Ringworm).
2) Basic concepts of immunology – Vaccines; Cancer, HIV and AIDS.
3) Adolescence, Drug and alcohol abuse.

UNIT – 9

Ecology and Environment:
1) Organisms and environment : Habitat and niche; Population and Ecological adaptations; Population Interactions – Mutualism, Competition, Predation, Parasitism; Population attributes – Growth, birth rate and death rate, age distribution.
2) Ecosystem: Patterns, Components; Productivity and decomposition; Energy flow; Pyramids of numbers, biomass, energy, Nutrient cycling (carbon and phosphorous); Ecological succession; plant communities; Ecological services – carbon fixation, pollination, oxygen release. 3) Biodiversity and its conservation: Concept of Biodiversity; Patterns of Biodiversity; Importance of Biodiversity; Loss of Biodiversity; Biodiversity conservation; Hotspots; endangered organisms, extinction; Red Data Book; Biosphere reserves, National parks and sanctuaries. 4) Environmental issues: Air pollution and its control; Water pollution and its control; Agrochemicals and their effects; Solid waste management; Radioactive Waste management; Greenhouse effect and global warming; Ozone depletion; Deforestation; Any three case studies as success stories addressing environmental issues.
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