MP PET 2013 Mathematics Syllabus

MP PET 2013 Mathematics Syllabus is Made Available for the Students who are preparing for MP PET 2013 Entrance Test. Students who are aspiring to appear for MP PET 2013 Entrance Test can check MP PET 2013 Syllabus. Students who aspires for Admission through MPPET 2013 Can check the MP PET 2013 Syllabus Details for Maths, Physics, Chemistry and Other Programs.

ALGEBRA:
Algebra of Complex numbers, Graphical representation of complex numbers modules, and argument of complex numbers, conjugated of a complex number, triangle inequality, cube roots of unity, arithmetic, geometric and harmonic progression. Arithmetic, geometric and harmonic means between two numbers.Sum of squares and cubes of first natural numbers.Theory, geometric equation, relations between roots and coefficients. Quadratic expressions, quadratic equations in one variable, permutations and combinations. Bionomial (any index) theorem exponential and logarithmic series, determinants up to third order and their order and their elementary properties matrices types of matrices, adjoint and inverse of matrix, elementary, applications is solving simultaneous equation upto three variables.

TRIGONOMETRY:
Trigonometry functions and their graphs, addition and subtraction formulae; formulae involving multiple and submultiple angles, general solutions of trigonometrical equations, relation between sides and angles of a traingle. Solution of traingles, inverse: trignometrical functions, height and distance(simple problems).

CO-ORDINATE GEOMETRY OF TWO DIMENSIONS:
Rectangular cartesian coordinates, straight line, pair to straight lines, distance of a point from a line, angle between two lines.
Circle, tangents and normals, system of circles. Conic section, parabola, ellipse and hyperbola in standard forms with elementary
properties, tangents and normals.

CO-ORDINATE GEOMETRY OF THREE DIMENSIONS:

Rectangular co ordinate system, direction cosines and direction ratios, equation of place in standard forms.Perpendicular distance from a point, equation of a line angles between two lines.

VECTOR ALGEBRA:
Definition of vector, addition of vector, components in three dimensional space, scalar and vector products. triple products, simple applications in geometry and mechanics.

DIFFERENTIAL CALCULUS:
Function, polynomial, rational trignometric, logarithmic and exponential, inverse functions. Limit continuity and differentiability of functions, differentiation of rational, trigonometric and exponential functions. Application of derivative in elementary problem in mecharics, increasing and decreasing functions. Maxima and Minima of function of one variable, Roll’s theorem and mean value theorem.

INTEGTRAL CALCULUS:
Integration as the inverse process of differentation, integration by parts. By substitution and by partial fraction definite integral. Areas under simple curves.

DIFFERENTIAL EQUATIONS:
Formulation of differential equation, ordered degree solution of differential equations by separation of variable method. Homogeneous form linear differential equation of first order.

STATISTICS:
Probability addition and multiplication laws, conditional probability, Binomial distribution, simple problems in correlation and regression.

NUMERICAL METHODS:
Solution of euation by the methods of bisection, false position and Newton Raphson. Numerical integration by trapezoided and Simpson’s rule.

LINEAR PROGRAMMING:
Definition and formation of linear programming problems, solution by graphical method.

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