Uttar Pradesh State Entrance Exam ( UPSEE )

Competitive | UPSEE | Mathematics Syllabus

Uttar Pradesh State Entrance Examination (UPSEE) is a state-level entrance exam conducted every year by the Abdul Kalam Technical University (AKTU) which was previously known as the Uttar Pradesh Technical University (UPTU). AKTU has released the UPSEE notification 2019 for admission to undergraduate engineering courses as well as other UG and PG courses in various colleges in the state of Uttar Pradesh. Around 400 engineering colleges accept candidates for admission to B.Tech. courses through this exam. This is a huge opportunity for engineering aspirants.

The online registration started on 23rd January 2019 and will continue till 15th March 2019. The exam is scheduled to be conducted on 21st April 2019 for all courses.

Candidates planning to appear for the exam must fill up the UPSEE application form and apply for the exam at the earliest. But before that, they must have a clear knowledge of the eligibility, registration process, exam pattern, important dates, etc. In this article on UPSEE notification 2019, we will provide you with all the necessary information for admission to first year engineering courses. Read on to find out.

UPSEE 2021 Mathematics Syllabus

UPSEE Syllabus for Mathematics (for Paper 1)

UPSEE Syllabus for Mathematics
Units	Topics
Algebra	Sets relations & functions, De-Morgan's Law, Mapping Inverse relations, Equivalence relations, Peano's axioms, Definition of rationals 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 of 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