UPSEE Mathematics Syllabus 2015
UPSEE 2015 Mathematics Syllabus
Algebra : Set 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.
UPTU 2016 Navigation : UPSEE Counselling 2015, UPSEE Mathematics Syllabus 2015, UPSEE Syllabus 2015, UPSEE Results 2015, UPSEE Architecture Aptitude Test 2015, UPTU Syllabus for Agricultural Physics, Chemistry 2015, UPSEE Biology Syllabus 2015, UPSEE PG MBA / MCA Aptitude Test Syllabus 2015, UPSEE Chemistry Syllabus 2015, UPSEE Physics Syllabus 2015, UPSEE Important Dates 2015, UPSEE Exam Centers 2015, UPSEE Examination Details 2015, UPSEE Application Form 2015, UPSEE Domicile Requirements 2015, UPSEE Lateral Entry Eligibility 2015, UPSEE Eligibility 2015, Uttar Pradesh State Entrance Exam Lucknow 2016, UPSEE Preparation Question Bank CD
UPTU Related : UPTU SEE 2015, UPTU SEE 2015 Mathematics Syllabus, UPSEE 2015 Maths Syllabus, UPSEE Mathematics Syllabus 2015, UPSEE 2015 Mathematics Exam Syllabus, UPTU SEE 2015 Entrance Exam Syllabus, UPTU SEE 2015 BTech Syllabus, UPTU SEE 2015 Syllabus Material, UPSEE 2015 Mathematics Syllabus Detail, UPSEE 2015 Mathematics Syllabus Material, UPTU SEE 2015 Syllabus Download, UPTU SEE 2015 Engineering Syllabus, UPTU 2015 Mathematics Syllabus Download, UPSEE 2015 Detailed Maths Syllabus, UPTU SEE 2015 Study Material, UPSEE 2015 Examination Syllabus, UPTU SEE 2015 Syllabus for Mathematics, UPTU Mathematics Syllabus Download 2015, UPSEE 2015 Admission Syllabus, UPSEE 2015 Syllabus Pattern, Uttar Pradesh Technical University Entrance Exam Mathematics Syllabus 2015, UPTU 2015 Question Paper,
UPSEE Syllabus 2015 – UPTU 2015 Engineering Syllabus – UPTU SEE Mathematics Syllabus 2015 – UPSEE Entrance Exam Syllabus 2015 – UPTU BTech Syllabus 2015.
Posted In entrance exam : uptu : Leave a response for upsee mathematics syllabus 2015 by amala