MP PEPT 2012: Mathematics Syllabus

MPPEB announces admission to Bachelor of Engineering (B.E.), Bachelor of Pharmacy (B.Pharma) and Diploma in Pharmacy (D.Pharma) in Government, self governing and private professional colleges of Madhya Pradesh through Madhya Pradesh Pre-Engineering Pharmacy Test (MP PEPT) 2012.

Mathematics Syllabus for MP PEPT 2012

• 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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