## 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.

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PART 3 - *SRMJEEE MATHEMATICS Syllabus* 2018 (35 Questions)

UNIT 1: Sets, Relations and FunctionsSets 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.

#### UNIT 4: Applications of Matrices and Determinants

Computing the rank of a matrix-test of consistency andsolution of simultaneous linear equations using

determinants and matrices.

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UNIT 5: Quadratic Equations SRMJEEE MATHEMATICS Syllabus**<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>**

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*Download SRMJEEE Syllabus | SRMJEEH 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.

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UNIT 12: Integral Calculus SRMJEEE MATHEMATICS Syllabus 2018*

Integral as an anti-derivative. Fundamentalintegrals 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.

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*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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