IOE & CSIT entrance syllabus

2083 session. Every topic and sub-topic, searchable.

Detail syllabus of the B.E./B.Arch. entrance examination, 2083

100 questions, 140 marks, 2-hour Computer-Based Test (CBT). Mathematics 50, Physics 40, Chemistry 30, English 20. Negative marking applies for incorrect answers.

Mathematics

50 marks · 7 topics

    • 1.1

      Set, real number system, intervals, absolute value, logic, connectives, laws of logic

    • 1.2

      Function, types of functions – injective, surjective, bijective, algebraic, trigonometric, exponential and logarithmic; Inverse of function, composite functions

    • 2.1

      Matrices and determinants, types and properties, inverse of a matrix

    • 2.2

      Complex numbers and Polynomial equations

    • 2.3

      Sequence and series, Permutation and Combination

    • 2.4

      Binomial theorem, exponential and logarithmic series

    • 3.1

      Trigonometric equations and general values

    • 3.2

      Inverse trigonometric functions, principal value

    • 3.3

      Properties of triangles, in-centre, ortho-centre and circum-centre, solution of triangles

    • 4.1

      Straight lines, pair of lines

    • 4.2

      Circles, equations of circle in different forms, tangent and normal

    • 4.3

      Conic sections: Parabola, Ellipse and Hyperbola, standard equations and simple properties

    • 4.4

      Coordinates in space, Plane and its equation

    • 5.1

      Limit and continuity of functions, indeterminate forms, L'Hospital's rule

    • 5.2

      Derivatives, rules of derivatives, geometrical & physical meanings, higher order derivatives, Applications of derivative: tangent and normal, rate of change, maxima and minima

    • 5.3

      Integration, linear properties, rules of integration, standard integrals, definite integral, Applications of definite integral: area under a curve and area between two curves

    • 5.4

      Differential equations: definition, order and degree, differential equation of first order and first degree: variable separable method, homogeneous, linear and exact differential equations, integrating factor

    • 6.1

      Vectors in plane and space, algebra of vectors, linear combination of vectors, linearly dependent and independent set of vectors

    • 6.2

      Product of two vectors, scalar and vector product of two vectors, scalar triple product

    • 7.1

      Measures of location and measures of dispersion

    • 7.2

      Correlation and regression

    • 7.3

      Basic terms of probability, conditional and compound probability, additive and multiplicative rules, Bayes' theorem, binomial distribution