Detail Syllabus of B.E./B.Arch. Entrance
Examination-2083
Subject: Mathematics Full Marks: 50
1.
Set, Logic and Functions
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.
Algebra
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.
Trigonometry
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. Coordinate Geometry
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.
Calculus
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. Vectors and their
Products
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. Statistics and Probability
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