# UPSEE Mathematics Syllabus 2014

**UPSEE 2014 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 2015 Navigation : **UPSEE 2014 Counselling, UPSEE 2014 Mathematics Syllabus, UPSEE 2014 Syllabus, UPSEE 2014 Results, UPSEE 2014 Architecture Aptitude Test, UPTU Syllabus for Agricultural Physics, Chemistry 2014, UPSEE 2014 Biology Syllabus, UPSEE PG MBA / MCA Aptitude Test Syllabus 2014, UPSEE 2014 Chemistry Syllabus, UPSEE 2014 Physics Syllabus, UPSEE 2014 Important Dates, UPSEE 2014 Exam Centers, UPSEE 2014 Examination Details, UPSEE 2014 Application Form, UPSEE 2014 Domicile Requirements, UPSEE 2014 Lateral Entry Eligibility , UPSEE 2014 Eligibility, UPSEE 2014 Exam Date, UPSEE Preparation Question Bank CD

**UPTU Related : **UPTU SEE 2014, UPTU SEE 2014 Mathematics Syllabus, UPSEE 2014 Maths Syllabus, UPSEE Mathematics Syllabus 2014, UPSEE 2014 Mathematics Exam Syllabus, UPTU SEE 2014 Entrance Exam Syllabus, UPTU SEE 2014 BTech Syllabus, UPTU SEE 2014 Syllabus Material, UPSEE 2014 Mathematics Syllabus Detail, UPSEE 2014 Mathematics Syllabus Material, UPTU SEE 2014 Syllabus Download, UPTU SEE 2014 Engineering Syllabus, UPTU 2014 Mathematics Syllabus Download, UPSEE 2014 Detailed Maths Syllabus, UPTU SEE 2014 Study Material, UPSEE 2014 Examination Syllabus, UPTU SEE 2014 Syllabus for Mathematics, UPTU Mathematics Syllabus Download 2014, UPSEE 2014 Admission Syllabus, UPSEE 2014 Syllabus Pattern, Uttar Pradesh Technical University Entrance Exam Mathematics Syllabus 2014, UPTU 2014 Question Paper,

UPSEE Syllabus 2014 – UPTU 2014 Engineering Syllabus – UPTU SEE Mathematics Syllabus 2014 – UPSEE Entrance Exam Syllabus 2014 – UPTU BTech Syllabus 2014.

Posted In entrance exam : uptu : Leave a response for **upsee mathematics syllabus 2014** by priya