ISAT Subjects

Which are comes under Indian Institute of Space Science and Technology Admission Test – ISAT, will you please provide here list of subjects & more details ???

[Shaleen]

Indian Institute of Space Science and Technology conducts ISAT Admission Test for the selection of eligible and qualified candidates in the Indian Institute of Space Science and Technology under its different under graduate courses in the field of Engineering & Technology.

Scheme of Exam:

There will be an objective type examination held in the paper –pencil modes for all the candidates.
The paper will be divided into three main sections:

Section 1- Physics

Section 2- Chemistry and

Section 3- Mathematics

Marking Criteria:

The candidates shall be given three marks for each correct answers

Deduction of 1 mark for each incorrect answers marked by them

Mathematics:
Permutations and Combinations : Fundamental principle of counting. Permutations and Combinations, derivation of formulae and their connections and simple applications.

Mathematics Induction : Principle of Mathematical Induction and its simple applications.

Binomial Theorem and its simple Applications : Binomial theorem for positive integral indices, 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. Relation between A.M. and G.M. Sum upto n terms of special series Σn, Σn2, Σn3. Arithmetico – Geometric sequence.

Trigonometry : Trigonometric functions. Trigonometrical identities and equations. Inverse Trigonometric functions, their properties and applications.

Complex Numbers and Quadratic Equations : Complex numbers as ordered pairs of reals. Representation of complex numbers in a plane. Argand plane and polar representation of complex numbers. Algebra of complex numbers, modulus and argument ( or amplitude ) of a complex number, square root of a complex number, triangle inequality. Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots.

Sets, Relations and Functions : Sets and their representations. Union, intersection and complement of sets and their algebraic properties. Power Set. Relation, types of relations and equivalence relation. One – one, into and onto functions and composition of functions. Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Even
and odd functions.

Limit, Continuity and Differentiability : Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions. Differentiability of functions. 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 up to two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives : rate of change of quantities, monotonic – increasing and decreasing functions, maxima and minima of functions of one variable, tangents and normals.

Integral Calculus : Integral as an anti – derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Definite Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals. Applications of the integrals: determining areas of the regions bounded by simple curves in standard form.

Differential Equations : Ordinary differential equations, their order and degree. Formation of differential equation whose general solution is given. Solution of differential equations by the method of separation of variables. Solution of homogeneous differential equations and linear first order differential equations.

Co – Ordinate Geometry : Cartesian coordinate system, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes. Straight lines : Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines. Circles, Conic sections : Standard equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of a cone, standard equations and properties of conic sections (parabola, ellipse and hyperbola), condition for y = mx + c to be a tangent and point (s) of
tangency.

Three Dimensional Geometry : Coordinates of a point in space, distance between two points, section formula. Direction ratios and direction cosines of a line joining two points, angle between two intersecting lines. Coplanar and Skew lines, the shortest distance between two lines. Equations of a line and a plane in different forms, intersection of a line and a plane.

Physics:
Units and Measurements : The International system of units, measurement of length, mass and time, accuracy, precision of instruments and errors in measurement, significant figures, dimension of physical quantities, dimensional formulae and equations, dimensional analysis and its applications.

Motion in a Straight Line : Position, path length and displacement, average velocity and speed, instantaneous velocity and speed, acceleration, kinematic equations for uniformly accelerated motion, relative velocity.

Motion in a Plane : Scalars and vectors, multiplication of vectors by real numbers, addition and aubtraction of vectors- graphical method, resolution of vectors, vector addition – analytical method, motion in a plane, motion in a plane with constant acceleration, relative velocity in two dimensions, projectile motion, uniform circular motion.

Laws of Motion : The law of inertia, Newton’s first, second and third law of motion, conservation of momentum, equilibrium of particle, common forces in mechanics, circular motion.

Work, Power and Energy : The work energy theorem, kinetic and potential energy, work – energy theorem for variable force, the conservation of mechanical energy, Power, the potential energy of a spring, collisions.

Chemistry
Basic Concepts of Chemistry : Particulate nature of matter, laws of chemical combination, Dalton’s atomic theory : concept of elements, atoms and molecules. atomic and molecular masses, molecular formula, stoichiometry.

Structure of Atom : Atomic number, isotopes and isobars. different atomic models and limitations, shells and sub – shells, dual nature of matter and light, de Broglie’s relationship, Heisenberg uncertainty principle, orbitals, quantum numbers, shapes of s, p, and d orbitals, Aufbau principle, Pauli exclusion principle and Hund’s rule, electronic configuration of atoms, stability of half filled and completely filled orbitals.

Classification of Elements and Periodicity in Properties : Periodic table, periodic trends in properties of elements.

Chemical Bonding and Molecular Structure : Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, hybridization involving s, p and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules.

Hydrogen : Occurrence, isotopes, preparation, properties and uses of hydrogen and its compounds.

s – Block Elements ( Group 1 and Group 2 elements ) : Electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship, trends in the variation of properties and in chemical reactivity, uses. preparation and properties of compounds of Na, Ca, Mg and their biological importance.

p – Block Elements : General Introduction to p – Block Elements.