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Amrita University Engineerng Entrance Examination Syllabus |

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Re: Amrita University Engineerng Entrance Examination Syllabus
The Entrance Examination shall comprise questions from Physics, Chemistry and Mathematics of Amrita University. its syllabus is as follows: a. Complex Numbers Complex numbers in the form a+ib and their representation in a plane. Argand diagram. Algebra of complex numbers, Modulus and argument (or amplitude) of a complex number, square root of a complex number. Cube roots of unity, triangle inequality. b. Linear Inequalities Linear inequalities. Algebraic solutions of linear inequalities in one variable and their representation on the number line. c. Permutations and Combinations Fundamental principle of counting; Permutation as an arrangement and combination as selection, Meaning of P(n,r)and C(n,r).Simple applications. d. Binomial Theorem Binomial theorem for positive integral indices. Pascal’s triangle. General and middle terms in binomial expansions, simple applications. e. Sequences and Series Arithmetic, Geometric and Harmonic progressions. Insertion of Arithmetic, Geometric and Harmonic means between two given numbers. Relation between A.M., G.M. and H.M. Special series n, n2, n3.Arithmetico-Geometric Series, Exponential and Logarithmic Series. f. Matrices and Determinants Determinants and matrices of order two and three, Properties of determinants. Evaluation of determinants. Addition and multiplication of matrices, adjoint and inverse of matrix. Solution of simultaneous linear equations using determinants . g. Quadratic Equations Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, Nature of roots, formation of quadratic equations with given roots; h. Relations and Functions Definition of a relation. Domain, co domain and range of a relation. Function as special kind of relation and their domain, co domain and range. Real valued function of a real variable. Constant, identity, polynomial, rational. Modulus, signum and greatest integer functions. Sum. Difference, product and quotient of functions. Types of relations: refelexive, symmetric, transitive and equivalence relations. One to one and onto functions. Composite functions, inverse of a function. i. Trigonometry Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties oftriangles, including centroid, incentre, circumcentre and ortho centre, solution of triangles. Heights and distances.
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