Applicationswork done by a force and moment of a force and in geometrical problems. STATISTICS AND PROBABILITY: Statistics: Classification of data, Frequency distribution, cumulative frequency distributionexamples.

In the question papers, wherever necessary, questions involving the metric system of Weights and Measures only will be set.

In no circumstances will they be allowed the help of a scribe to write answers for them.

The Commission have discretion to fix qualifying marks in any or all the subjects at the examination.

They should not therefore, bring the same inside the Examination Hall.

Complex numbersbasic properties, modulus, argument, cube roots of unity.

Conversion of a number in decimal system to binary system and vice-versa.

MATRICES AND DETERMINANTS: Types of matrices, operations on matrices.

Adjoint and inverse of a square matrix, Applications-Solution of a system of linear equations in two or three unknowns by Cramers rule and by Matrix Method.

TRIGONOMETRY: Angles and their measures in degrees and in radians.

ANALYTICAL GEOMETRY OF TWO AND THREE DIMENSIONS: Rectangular Cartesian Coordinate system.

Distance formula.

Equation of a line in various forms.

Angle between two lines.

Point in a three dimensional space, distance between two points.

Equation of a plane and a line in various forms.

Angle between two lines and angle between two planes.

DIFFERENTIAL CALCULUS: Concept of a real valued functiondomain, range and graph of a function.

Continuity of functionsexamples, algebraic operations on continuous functions.

Derivative of function at a point, geometrical and physical interpretation of a derivativeapplications.

Derivatives of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function.

Evaluation of definite integrals determination of areas of plane regions bounded by curvesapplications.

Definition of order and degree of a differential equation, formation of a differential equation by examples.

General and particular solution of a differential equations, solution of first order and first degree differential equations of various typesexamples.

VECTOR ALGEBRA: Vectors in two and three dimensions, magnitude and direction of a vector.

Unit and null vectors, addition of vectors, scalar multiplication of a vector, scalar product or dot product of two vectors.

Applicationswork done by a force and moment of a force and in geometrical problems.

STATISTICS AND PROBABILITY: Statistics: Classification of data, Frequency distribution, cumulative frequency distributionexamples.

Cisf Typing Test Paper