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


S.No.

Chapter Name

Content

1.

Matrices and their Applications

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, nonhomogeneous equations, homogeneous
linear system and rank
method.
Solution of linear programming problems (LPP) in two variables.

2.

Trigonometry and Complex Numbers

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.

3.

Analytical Geometry of two dimensions

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 Latusrectum  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.

4.

Vector Algebra

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.

5.

Analytical Geometry of Three Dimensions

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 noncollinear 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 (coplanar
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.

6.

Differential Calculus

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.

7.

Integral Calculus and its Applications

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.

8.

Differential Equations

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 coefficients, finding the particular integral if f(x) = emx,
sin mx, cos mx, x, x2.

9.

Probability Distributions

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.

10.

Discrete Mathematics

Functions – Relations – Basics of counting.
Mathematical logic – logical statements, connectives, truth tables,
logical equivalence,
tautology, contradiction.
Groupsbinary operations, semi groups, monoids, groups, order of a
group, order of an
element, properties of groups.

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