JAMIA MILLIA ISLAMIA

Algebra: Complex Numbers, algebra of complex numbers; geometrical representation; real and imaginary parts; modulus and argument of a complex number; conjugate of a complex number; triangle inequality; cube roots of unity.

Theory of quadratic equation, relationship between their roots and coefficients; quadratic expressions; linear and quadratic equation in one variable.

Arithmetic, geometric and harmonic progression; mathematical induction and its application.

Permutations and combinations; Binomial theorem for a positive integral index.

Trigonometry: Trigonometric Functions and their graphs, addition and subtraction formulas; formulae involving multiple and submultiples angles; inverse trigonometric functions; solution of trigonometric equation; relations between the sides and angles of a triangle; solution of triangle, simple applications in finding height and distances.

Co-Ordinate Geometry: Rectangular Cartesian coordinate; distance between two points; area of triangle; locus; equation of a straight line in various forms; angle between two given lines; condition for two line to be parallel or perpendicular, distance of a point from a line; equation of a circle in various form, intersection of a circle with a straight line; equation of a tangent and normal to a circle through the point points of intersection of two circle or a circle and a straight line; parametric representation of a circle.

Calculus: Function, into, onto and one-to-one function, sums, difference, products and quotients of two functions, composite functions, inverse of a function, constant, absolute value, greatest integer, polynomial, rational, trigonometric, inverse trigonometric, experimental and logarithmic function, even and odd function, sets, functions and relations.

Limit and continuity of a function, limit and continuity of the sum, difference, continuity of composite functions, Derivation of a function at a point, derivation of the sum, difference, product and quotient of two functions, derivative of composite and implicit functions, derivatives of polynomial, rational, trigonometric, inverse trigonometric exponential & logarithmic function.

Geometrical interpretation of derivatives, tangents and normal. Sign of derivatives and monotonic, maximum and minimum value of a function.

Integration as a inverse process of differentiation.

Vector: Addition of Vector, multiplication by scalar, scalar product, cross product, scalar triple product.

Probability: Probability, addition, and multiplication laws conditional prob., Binomial distribution.

Basic Physics, units and dimensions, SI units, displacement, velocity, acceleration, kinematics in one and two dimension with constant acceleration, projectile, circular motion, concept of relative motion.

Elements of Kinetic theory of gases, presser and temperature of an ideal gas.

Coulombs law, electric field and electric potential, lines of force, capacitance, electric current, ohm’s law, series and parallel arrangements of resistance and cells, Kirchaff’s laws and application to network.

Radioactivity, law of radioactivity decay, decay constant, half life and mean life.

Spelling, Vocabulary, idioms, comprehension, Synonyms, Antonyms, Word Meaning, Word Matching, Literary sensibility, Critical perception, Composition, Expression.

Basic understanding of computers, Information and communication technologies and applications, Current developments in IT, programming languages.

Series, coding, decoding, find the odd one out, analogy etc.

Note :-
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