Subjects: GITAM GAT 2019 exam syllabus will be based on the Physics, Chemistry, and Mathematics prescribed by CBSE for XIth and XIIth standards. However, extensive preparation on the topics is required to be done by the candidates to crack GAT 2019.
SETS, RELATIONS, AND FUNCTIONS: Sets and their representation, 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.
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 Contrapositive.
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 the 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.
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.
SEQUENCES AND SERIES: Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. The relation between A.M. and G.M. Sum to n terms of special series, Arithmetic - Geometric progression.
PERMUTATIONS & COMBINATIONS: Definition of linear and circular permutations; To find the number of permutations of n dissimilar things taken ‘r’ at a time. To find the number of Permutations of n Dissimilar things taken ‘r’ at a time when repetition of things is allowed any number of times.; To find the 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;
MATRICES AND DETERMINANTS: Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, an 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 a matrix.
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.
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.
TRIGONOMETRY: Trigonometric ratios, Compound angles, multiple and sub-multiple angles, Transformations, Trigonometric expansions using Demovier’s Theorem. Trigonometric equations, Inverse Trigonometry and Heights and distances(only 2D problems).
PROPERTIES OF TRIANGLES: Sine rule, cosine rule, Tangent rule, projection rule, Half angle formulae and area of a triangle. In-circle and excircle of a Triangle. Pedal Triangle, Ex-central Triangle, Geometry relation of Ex-centres, Distance between centre of Triangle. m-n Theorem, problems, and quadrilateral, regular polygon, the 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, Euler form of Z, Conjugate of Z, Properties of conjugate, solving complex equations, Demovre’s Theorem, Properties of √1 3 , √1 4 , √1
UNIT – 1 Diversity in living world: What is living? Biodiversity, Need for classification. Three domains of life. Taxonomy & systematic concepts of species and taxonomical hierarchy. Binomial nomenclature tools for the study of Taxonomy, Herbaria, Botanical gardens.Five kingdom classifications, Silent features and classification of Monera, Protista and Fuji into major groups. Salient features and classification of plants into major groups. Algae (Spirogyra) Bryophytes (Funen), Pteridophytes (Pteris), Gymnosperms (Cycas).
UNIT 2: External morphology: Root, Stem, Leaf, Inflorescence, Flower, Fruit and Seed.
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: ELASTICITY: Elasticity & Plasticity – Stress and Strain – Hooke’s Law, Moduli of elasticity (Y, n, K) – Poisson's ratio – definition and its limit; behaviour of wire under gradually increasing load – elastic fatigue, strain Energy. SURFACE TENSION: Surface tension – definition and applications, Molecular theory of surface tension, surface energy. An angle of contact, Capillarity Determination of surface tension by capillary rise method - theory and experiment. Effect of temperature on surface tension, an Excess pressure in liquid drops and soap bubbles. FLUID MECHANICS: Introduction, Principle of Buoyancy, pressure due to fluid column. Pascal’s Law and its applications. Streamline flow, Turbulent Flow, Reynolds number, Bernoulli's theorem. Applications- aerodynamic lift, the motion of a spinning ball. Viscosity, a coefficient of viscosity, Effect of temperature on viscosity, Poiseuille's equation. The motion of objects through fluids, Stoke's law, terminal velocity.
UNIT 6: THERMODYNAMICS: Thermal Equilibrium, Zeroth Law of thermodynamics. Heat internal energy and work. First law of thermodynamics. Thermodynamic processes – Isothermal, Adiabatic, Isobaric, Isochoric, Quasi-static processes. The second law of thermodynamics; Reversible and Irreversible processes. Carnot engine and refrigerator. KINETIC THEORY OF GASES: Gas Laws, ideal gas equation, Kinetic theory of gases – assumptions, a pressure of an ideal gas. Kinetic interpretation of temperature, RMS speed of a gas molecule. A degree of Freedom, Law of equipartition of energy. Specific heats of gases. Mean free path, Avogadro’s number. THERMAL PROPERTIES OF MATTER: Temperature and heat, measurement of temperature. Thermal expansion of solids, liquids and gases. Specific heat capacity, Colorimetry, change of state, latent heat, Triple point. Heat transfer, Conduction, Convection and Radiation. Black body radiation, Stefan’s Law, Wien’s Displacement Law, Newton’s Law of Cooling.
UNIT 7: SIMPLE HARMONIC MOTION: Periodic motion – Period, Frequency, Displacement as a function of time. Periodic functions. Simple harmonic motion and its equations, phase. Oscillations of the simple pendulum, Oscillations of a spring – Restoring force and force constant. Energy in S.H.M – Kinetic and potential energies. Free, forced and damped oscillations, resonance. WAVE MOTION: Longitudinal and transverse waves, Equation for a progressive wave, principle of superposition of waves, reflection of waves. Formation of stationary waves on a stretched string. SOUND: Characteristics of sound - the speed of sound in solids, liquids and gases Standing waves in Organ Pipes - Open Pipes, Closed Pipes, Fundamental frequency, Overtones, Harmonics, Beats. Doppler Effect: Applications and limitations of Doppler Effect. Echoes. RAY OPTICS AND OPTICAL INSTRUMENTS: Reflection of light, Reflection of light at plane and spherical surfaces, mirror formula. Reflection of light, Snell’s Law, Total internal reflection. Lens formula, Magnification power of a lens, Combination of lenses, Culling of a lens, Silvering of a lens. Refraction through a prism. Microscope and astronomical telescope and their magnifying powers. WAVE OPTICS: Huygens Principle and wavefront. Law of reflection and refraction using Huygens principle. Interference of light, Young’s double slit experiment, Fringe width. Diffraction of light, Diffraction due to a single slit, Width of central maxima. Resolving power of a microscope and telescope. The polarization of light, Plane of polarized light. Brewster’s law. Polaroids and their uses.
UNIT 10: ELECTROMAGNETISM: Biot-Savart Law – Ampere Law – Magnetic field near a long straight wire and magnetic field at the center of a circular coil carrying current (with derivation) – Field on the axis of a circular coil carrying current (with expressions only)Tangent Galvanometer – principle and working – Definition of reduction factor – force on a moving charge in a magnetic field – force on a current carrying conductor in a magnetic field – force between two long straight parallel conductors.
Quantitative Aptitude: Data Interpretation, Decimal & Fractions, HCF & LCM, Mensuration – Cylinder, Cone, Sphere, Numerical Reasoning, Probability, Problems on Ages, Profit & Loss, Ratio & Proportion, Percentage, Sequence & Series, Time & Distance, Work & Time.
Reasoning: Alphabet Series, Arithmetical Reasoning, Blood Relations, Clocks & Calendars, Coding-Decoding, Cubes and Dice, Directions, Inserting The Missing Character, Logical Sequence of Words, Number Series.
Verbal Ability: Adverb, Antonyms, Articles, Comprehension, Conclusion, Critical reasoning, Grammar, Idioms and Phrases, Synonyms, Verb, Vocabulary, Word groups.
Which are the subjects we have to prepare for GITAM GAT?
How many total topics are there in zoology for GITAM GAT?
Hi Rhea, zoology is one of the important topics in the preparation of GAT exam and needs to be focused on it. Various topics in Zoology are Animal Classification, Structural Organisation in animals, Human Physiology-Digestive and Respiratory systems and others for which details are available in Syllabus section of GAT exam.