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11th September 2015, 10:14 AM
Super Moderator
 
Join Date: Mar 2013
Re: LIC Development Officer Online

As you want to apply online for LIC Development Officer Exam, so i want to inform you that you can apply online from the official website of LIC.

Procedure:
Visit on the official website of LIC.

There is a link named ‘Careers’ in left bottom side of homepage. You will click on that link and you will be on following page:



You will get a link for AAO Recruitment on this page. When you will click on that link, you will be on following web page:



Now you will get a link for online application. You have to click on that link and you will be on following web page:



On this page, you have to do registration and fill application form.

SCRA Maths Syllabus

Algebra
Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping - examples, Binary operation on a set - examples. Representation of real numbers on a line.

Complex numbers: Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity.

Binary system of numbers, Conversion of a decimal number to a binary number and vice-versa.

Arithmetic, Geometric and Harmonic progressions. Summation of series involving A.P., G.P., and H.P..

Quadratic equations with real co-efficients. Quadratic expressions: extreme values.

Permutation and Combination

Binomial theorem and its applications.

Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication -properties. Matrix multiplication - non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Cofactors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables-elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n < to 3 are to be considered). Idea of a Group, Order of a Group, Abelian Group. Identitiy and inverse elements Illustration by simple examples.

Trigonometry

Addition and subtraction formulae, multiple and sub-multiple angles. Product and factoring formulae. Inverse trigonometric functions - Domains, Ranges and Graphs. DeMoivre's theorem, expansion of Sin n0 and Cos n0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.
Analytic Geometry (Two Dimensions)

Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y - condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two cricles. Standard equations of parabola, ellipse and hyperbola - parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.

Differential Calculus

Concept of a real valued function - domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits - examples. Continuity of functions - examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative - applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite
function, chain rule. Second order derivatives. Rolle's theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.
Integral Calculus and Differential equations

Integral Calculus: Integration as inverse of differential, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals-determination of areas of plane regions bounded by curves - applications.

Differential equations: Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types - examples. Solution of second order homogeneous differential equation with constant co-efficients.


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