Sunday, 27 December 2015

SRMJEEE Maths Syllabus | SRMJEEE Syllabus | SRMJEEE BTech Syllabus | SRMJEEE BTech Maths Syllabus www.srmuniv.ac.in

Download SRMJEEE Maths Syllabus 2018 | SRMJEEE Syllabus 2018 | SRMJEEE BTech Syllabus 2018 | SRMJEEE BTech Maths Syllabus 2018 

One of the most important subject is Maths is also coming in the SRM Joint Engineering Entrance Examination. Only 35 question of MCQ asked by srmjeee exam board and here we give the detail of SRM Joint Engineering Entrance Examination syllabus of Maths subjects. Please read and solve topic wise for better performance in srmjeee 2018 test.

PART 3 - SRMJEEE MATHEMATICS Syllabus 2018  (35 Questions)

UNIT 1: Sets, Relations and Functions
Sets and their representations, union, intersection and
complements of sets and their algebraic properties, relations,
equivalence relations, mappings, one-one, into and onto
mappings, composition of mappings.
UNIT 2: Complex Numbers
Complex numbers in the form a+ib and their representation
in a plane. Argand diagram. Algebra of complex numbers,
modulus and argument (or amplitude) of a complex number,
square root of a complex number. Cube roots of unity,
triangle inequality.
UNIT 3: Matrices and DeterminantsDeterminants and matrices of order two and three,
properties of determinants, evaluation of determinants.
Addition and multiplication of matrices, adjoint and inverse
of matrix.


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UNIT 4: Applications of Matrices and Determinants

Computing the rank of a matrix-test of consistency and
solution of simultaneous linear equations using
determinants and matrices.

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UNIT 5: Quadratic Equations SRMJEEE MATHEMATICS Syllabus
Quadratic equations in real and complex number system and
their solutions. Relation between roots and coef cients,
nature of roots, formation of quadratic equations with given
roots; symmetric functions of roots, equations reducible to
quadratic equations.
UNIT 6: Permutations and Combinations
Fundamental principle of counting: permutation as an
arrangement and combination as selection, meaning of
P(n,r) and C(n,r). Simple applications.
UNIT 7: Mathematical Induction and its Applications
Stating and interpreting the principle of mathematical
induction. Using it to prove formula and facts.
UNIT 8: Binomial Theorem and its Applications
Binomial theorem for a positive integral index; general term
and middle term; Binomial theorem for any index.
Properties of binomial coef cients. Simple applications for
approximations.

UNIT 9: Sequences and Series
Arithmetic, geometric and harmonic progressions. Insertion
of arithmetic, geometric and harmonic means between two
given numbers. Relation between A.M., G.M. and H.M.
arithmetic, geometric series, exponential and logarithmic
series.
UNIT 10: Differential Calculus 
Polynomials, rational, trigonometric, logarithmic and
exponential functions. Inverse functions. Graphs of simple
functions. Limits, continuity, differentiation of the sum,
difference, product and quotient of two functions,
differentiation of trigonometric, inverse
trigonometric, logarithmic, exponential, composite
and implicit functions, derivatives of order up to
two.
UNIT 11: Applications of Differential Calculus
Rate of change of quantities, onotonic - increasing
and decreasing functions, maxima and minima of
functions of one variable, tangents and normals,
Rolle’s and Lagrange’s mean value theorems.

UNIT 12: Integral Calculus SRMJEEE MATHEMATICS Syllabus 2018

Integral as an anti-derivative. Fundamental
integrals involving algebraic, trigonometric,
exponential and logarithmic functions. Integration
by substitution, by parts and by partial fractions.
Integration using trigonometric identities. Integral
as limit of a sum. Properties of de nite integrals.
Evaluation of de nite integrals; Determining areas
of the regions bounded by simple curves.
UNIT 13: Differential Equations
Ordinary differential equations, their order and
degree. Formation of differential equations.
Solution of differential equations by the method of
separation of variables. Solution of homogeneous
and linear differential equations and those of the
type d2y / dx2 = f(x).

UNIT 14: Straight Lines in Two Dimensions
Cartesian system of rectangular co-ordinates in
plane, distance formula, area of a triangle,
condition for the collinearity of three points and
section formula, centroid and in-centre of a
triangle, locus and its equation, translation of axes,
slope of a line, parallel and perpendicular lines,
intercepts of a line on the coordinate axes. Various
forms of equations of a line, intersection of lines,
angles between two lines, conditions for
concurrence of three lines, distance of a point from
a line. Equations of internal and external bisectors
of angles between two lines, coordinates of
centroid, orthocentre and circumcentre of a
triangle, equation of family of lines passing
through the point of intersection of two lines,
homogeneous equation of second degree in x and
y, angle between pair of lines through the origin,
combined equation of the bisectors of the angles
between a pair of lines, condition for the general
second degree equation to represent a pair of lines,
point of intersection and angle between two lines.
UNIT 15: Circles in Two Dimensions SRMJEEE Maths Syllabus 2018
Standard form of equation of a circle, general
form of the equation of a circle, its radius and
centre, equation of a circle in the parametric form,
equation of a circle when the end points of a
diameter are given, points of intersection of a line
and a circle with the centre at the origin and
condition for a line to be tangent to the circle,
length of the tangent, equation of the tangent,
equation of a family of circles through the
intersection of two circles, condition for two
intersecting circles to be orthogonal.
UNIT 16: Conic Sections in Two Dimensions
Sections of cones, equations of conic sections
(parabola, ellipse and hyperbola) in standard form,
condition for y = mx+c to be a tangent and
point(s) of tangency.

UNIT 17: Vector Algebra SRMJEEE Maths Syllabus 2018

Vectors and scalars, addition of vectors,
components of a vector in two dimensions and
three dimensional space, scalar and vector
products, scalar and vector triple product.
Application of vectors to plane geometry.
UNIT 18: Measures of Central Tendency and
Dispersion
Calculation of mean, median and mode of
grouped and ungrouped data. Calculation of
standard deviation, variance and mean deviation
for grouped and ungrouped data.
UNIT 19: Probability 
Probability of an event, addition and
multiplication theorems of probability and their
applications; Conditional probability; Baye’s
theorem, probability distribution of a random
variate; binomial and poisson distributions and
their properties.
UNIT 20: Trigonometry 
Trigonometrical identities and equations. Inverse
trigonometric functions and their properties.
Properties of triangles, including, incentre,
circumcentre and orthocenter, solution of
triangles.
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