Madan Mohan Malaviya University of Technology ( MMMUT ) Engineering Entrance Examination

Engineering | MMMUT | Mathematics Syllabus

The admissions in different undergraduate and post graduate programmes being offered in Madan Mohan Malaviya University of Technology, Gorakhpur shall be made through the admission test and counseling conducted under the supervision and control of the University Admission Committee (UAC). The UAC has authority for conducting the admission process, and to decide about modalities of admissions,allotment of seats and all matters related to the admissions in the University with the approval of Vice Chancellor, MMMUT, Gorakhpur.

MMMUT 2021 Mathematics Syllabus

Madan Mohan Malaviya University of Technology ( MMMUT ) Engineering Entrance Examination Mathematics Syllabus - 2015

For B. Tech

Algebra: Sets relations & functions, De-Morgan’s Law, Mapping Inverse relations, Equivalence relations, Peano’s axioms, Definition of rationales and integers through equivalence relation, Indices and surds, Solutions of simultaneous and quadratic equations, A.P., G.P. and H.P., Special sums i.e. n2 and n3 ( n N ), Partial fraction, Binomial theorem for any index, exponential series, Logarithm and Logarithmic series. Determinants and their use in solving simultaneous linear equations, Matrices, Algebra of matrices, Inverse of a matrix, Use of matrix for solving equations.

Probability: Definition, Dependent and independent events, Numerical problem on addition and multiplication, theorem of probability.

Trigonometry: Identities, Trigonometric equations, properties of triangles, solution of triangles, heights and distances, Inverse function, Complex numbers and their properties, Cube roots of unity, De-Moivre’s theorem.

Co-ordinate Geometry: Pair of straight lines, Circles, General equation of second degree, parabola, ellipse and hyperbola, tracing of conics.

Calculus: Limits & continuity of functions, Differentiation of function of function, tangents & normal, Simple examples of Maxima & Minima, Indeterminate forms, Integration of function by parts, by substitution and by partial fraction, definite integral, application to volumes and surfaces of frustums of sphere, cone and cylinder. Differential equations of first order and first degree.

Vectors: Algebra of vectors, scalar and vector products of two and three vectors and their applications.

Dynamics: Velocity, composition of velocity, relative velocity, acceleration, composition of accelerations, Motion under gravity, Projectiles, Laws of motion, Principles of conservation of momentum and energy, direct impact of smooth bodies.

Statics: Composition of coplanar, concurrent and parallel forces moments and couples resultant of set of coplanar forces and condition of equilibrium, determination of centroid in simple cases, Problems involving friction.

For more details, refer the following website:

http://www.mmmut.ac.in/Pdf/information_bulletin_2015.pdf