Detail Syllabus of B.E./B.Arch. Entrance Examination-2080
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