Download VITEEE Mathematics Syllabus 2017 | VIT University EEE Maths Syllabus 2017 VITEEE Maths Sample paper
Here we give the detail of VITEEE 2017 maths Syllabus which is comprise 10 chapters and in the VITEEE entrance test there are 4 subjects will be asked i.e Physics, Chemistry Maths / Biology and English. There are 10 chapter and detail of topics and we also give the image of VITEEE maths sample paper at the end of post. There are 10 Chapter consists in the VITEEE Maths syllabus i.e.
1. Matrices and their Applications
2. Trigonometry and Complex Numbers
3. Analytical Geometry of two dimensions
4. Vector Algebra
5. Analytical Geometry of Three Dimensions
6. Differential Calculus
7. Integral Calculus and its Applications
8. Differential Equations
9. Probability Distributions
10. Discrete Mathematics
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VITEEE Maths Syllabus 2017
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S.No.
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Chapter Name
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Content
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1.
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Matrices and their Applications
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Adjoint, inverse – properties, computation of inverses, solution of
system of linear equations by
matrix inversion method.
Rank of a matrix – elementary transformation on a matrix, consistency
of a system of linear
equations, Cramer’s rule, non-homogeneous equations, homogeneous
linear system and rank
method.
Solution of linear programming problems (LPP) in two variables.
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2.
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Trigonometry and Complex Numbers
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Definition, range, domain, principal value branch, graphs of inverse
trigonometric functions
and their elementary properties.
Complex number system - conjugate, properties, ordered pair
representation.
Modulus – properties, geometrical representation, polar form,
principal value, conjugate, sum,
difference, product, quotient, vector interpretation, solutions of
polynomial equations, De
Moivre’s theorem and its applications.
Roots of a complex number - nth roots, cube roots, fourth roots.
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3.
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Analytical Geometry of two dimensions
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Definition of a conic – general equation of a conic, classification
with respect to the general
equation of a conic, classification of conics with respect to
eccentricity.
Equations of conic sections (parabola, ellipse and hyperbola) in
standard forms and general
forms- Directrix, Focus and Latus-rectum - parametric form of conics
and chords. - Tangents
and normals – Cartesian form and parametric form- equation of chord
of contact of tangents
from a point (x1 ,y1) to all the above said curves.
Asymptotes, Rectangular hyperbola – Standard equation of a rectangular
hyperbola.
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4.
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Vector Algebra
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Scalar Product – angle between two vectors, properties of scalar
product, and applications of
dot product. Vector product, right handed and left handed systems,
properties of vector
product, applications of cross product.
Product of three vectors – Scalar triple product, properties of
scalar triple product, vector triple
product, vector product of four vectors, scalar product of four
vectors.
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5.
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Analytical Geometry of Three Dimensions
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Direction cosines – direction ratios - equation of a straight line
passing through a given point
and parallel to a given line, passing through two given points, angle
between two lines.
Planes – equation of a plane, passing through a given point and
perpendicular to a line, given
the distance from the origin and unit normal, passing through a given
point and parallel to two
given lines, passing through two given points and parallel to a given
line, passing through three
given non-collinear points, passing through the line of intersection
of two given planes, the
distance between a point and a plane, the plane which contains two
given lines (co-planar
lines), angle between a line and a plane.
Skew lines - shortest distance between two lines, condition for two
lines to intersect, point of
intersection, collinearity of three points.
Sphere – equation of the sphere whose centre and radius are given,
equation of a sphere when
the extremities of the diameter are given.
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6.
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Differential Calculus
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Limits, continuity and differentiability of functions - Derivative as
a rate of change, velocity,
acceleration, related rates, derivative as a measure of slope,
tangent, normal and angle between
curves.
Mean value theorem - Rolle’s Theorem, Lagrange Mean Value Theorem,
Taylor’s and
Maclaurin’s series, L’ Hospital’s Rule, stationary points,
increasing, decreasing, maxima,
minima, concavity, convexity and points of inflexion.
Errors and approximations – absolute, relative, percentage errors -
curve tracing, partial
derivatives, Euler’s theorem.
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7.
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Integral Calculus and its Applications
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Simple definite integrals – fundamental theorems of calculus,
properties of definite integrals.
Reduction formulae – reduction formulae for
x dx n
sin
and
x dx n
cos , Bernoulli’s formula.
Area of bounded regions, length of the curve.
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8.
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Differential Equations
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Differential equations - formation of differential equations, order
and degree, solving differential
equations (1st order), variables separable, homogeneous and linear
equations.
Second order linear differential equations - second order linear
differential equations with
constant co-efficients, finding the particular integral if f(x) = emx,
sin mx, cos mx, x, x2.
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9.
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Probability Distributions
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Probability – Axioms – Addition law - Conditional probability –
Multiplicative law - Baye’s
Theorem - Random variable - probability density function,
distribution function, mathematical
expectation, variance
Theoretical distributions - discrete distributions, Binomial, Poisson
distributions- Continuous
distributions, Normal distribution.
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10.
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Discrete Mathematics
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Functions – Relations – Basics of counting.
Mathematical logic – logical statements, connectives, truth tables,
logical equivalence,
tautology, contradiction.
Groups-binary operations, semi groups, monoids, groups, order of a
group, order of an
element, properties of groups.
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