# UPSEE Mathematics Syllabus 2017

**UPSEE 2017 Mathematics Syllabus **

**Mathematics :**

**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.

**UPTU 2017 Navigation : **UPTU SEE Counselling 2017, UPSEE Mathematics Syllabus 2017, UPSEE Syllabus 2017, UPSEE Results 2017, UPSEE UG Architecture Aptitude Test 2017, UPSEE UG Agricultural Physics, Chemistry Syllabus 2017, UPSEE UG Biology Syllabus 2017, UPSEE PG MBA / MCA Aptitude Test Syllabus 2017, UPSEE UG Chemistry Syllabus 2017, UPSEE UG Physics Syllabus 2017, UPSEE Important Dates 2017, UPSEE Exam Centers 2017, UPSEE Exam Pattern 2017, UPSEE Application Form 2017, UPSEE Domicile Requirements 2017, UPSEE Eligibility for Admission to Lateral Entry 2017, UPSEE Eligibility 2017, Uttar Pradesh State Entrance Exam Lucknow 2017, UPSEE Preparation Question Bank CD

**UPTU Related : **xUPTU SEE Mathematics Syllabus 2015, UPTU SEE Mathematics Syllabus Details 2015, UPSEE BTech Syllabus 2015, UPSEE Mathematics Syllabus 2017, UPTU Syllabus Material 2015, UPSEE Syllabus Download 2015, Uttar Pradesh SEE Exam Syllabus 2015, UPTU Entrance Test Syllabus 2015, UPTU SEE Detailed Syllabus 2015, UPSEE Study Material 2015,

UPSEE 2017 Mathematics Syllabus Mathematics : 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. … Continue reading

Posted In entrance exam : uptu : Leave a response for **upsee mathematics syllabus 2017** by nirmala