Mathematics Syllabus For Entrance By IOE
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Mathematics Syllabus For Entrance By IOE


MATHEMATICS Syllabus
Unit I. Set and Function:
  1. Set and relations, Functions and graphs, Algebraic, Trigonometric, Exponential, Logarithmic and hyperbolic functions and their inverses.
Unit II. Algebra:
  1. Determinats, matrices, Inverse of a matrix, uses of complex numbers, Polynomial equations, sequence and series, Permutation and combination, Binomial theorem, exponential, Logarithmic series.
Unit III. Trigonometry:
  1. Trigonometric equations and general values, Inverse trigonometric functions, Principal values, Properties of triangles; Centroid, incentre, Orthocentre and circumcentre and their properties.
Unit IV. Coordinate Geometry:
  1. Coordinates in a plane, Straight lines, Pair of lines, Circles, Conic sections: Parabola, ellipse and hyperbola. Standard equations and simple properties, Coordinates in space, Plane and its equation.
Unit V. Calculus:
  1. Limit and continuity of functions, Derivatives and application of derivative – Tangent and normal, Rate of change,differentials dy and actual change Dy. Maxima and Minima of a function.; Antiderivatives (Integrations): rules of Integration, Standard Integrals, Definite integral as the limit of a sum. Application to areas under a curve and area between two curves.
Unit VI. Vectors:
  1. Vectors in space, addition of vectors. Linear combination of vectors, Linearly dependent and independent set of vectors, Scalar and vector product of two vectors, simple applications.




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