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August 30th, 2016, 11:23 AM
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Join Date: Mar 2012
Re: Linear Programming for BITSAT

BITSAT is the Engineering Aptitude test for the Engineering Courses Admission of the Birla Institute of the Technology and Science

the Syllabus of the Linear Programming of the Mathematic of the BITSAT Entrance Exam is given below

Formulation of linear Programming
Solution of linear Programming, using graphical method.



Here I am giving you the Syllabus of the Mathematics Subject of the BITSAT Entrance Exam

1. Algebra

Complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, roots of complex numbers, geometric interpretations.

Theory of Quadratic equations, quadratic equations in real and complex number system and their solutions, relation between roots and coefficients, nature of roots, equations reducible to quadratic equations
.
Logarithms and their properties.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, arithmetico-geometric series, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
Exponential series.


Trigonometry


1. Trigonometric ratios, functions and identities.
2. Solution of trigonometric equations.
3. Properties of triangles and solutions of triangles
4. Inverse trigonometric functions
5. Heights and distances3
.

Two-dimensional Coordinate Geometry

1. Cartesian coordinates, distance between two points, section formulae, shift of origin.
2. Straight lines and pair of straight lines: Equation of straight lines in various forms, angle between two lines, distance of a point from a line, lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrent lines
3. Circles and family of circles : Equation of circle in various form, equation of tangent, normal & chords, parametric equations of a circle , intersection of a circle with a straight line or a circle, equation of circle through point of intersection of two circles, conditions for two intersecting circles to be orthogonal.
Conic sections: parabola, ellipse and hyperbola their eccentricity, directrices & foci, parametric forms, equations of tangent & normal, conditions for y=mx+c to be a tangent and point of tangency.

Three dimensional Coordinate Geometry
Direction cosines and direction ratios, equation of a straight line in space and skew lines.
Angle between two lines whose direction ratios are given
Equation of a plane, distance of a point from a plane, condition for coplanarity of three lines.
.

Differential calculus
Domain and range of a real valued function, Limits and Continuity of the sum, difference, product and quotient of two functions, Differentiability.
2. Derivative of different types of functions (polynomial, rational, trigonometric, inverse trigonometric, exponential, logarithmic, implicit functions), derivative of the sum, difference, product and quotient of two functions, chain rule.
3. Geometric interpretation of derivative, Tangents and Normals.
4. Increasing and decreasing functions, Maxima and minima of a function.
5. Rolle's Theorem, Mean Value Theorem and Intermediate Value Theorem.


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