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Home  /  JEE Main Mathematics Syllabus

JEE Main Mathematics Syllabus

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Here you will find JEE Main Mathematics Syllabus 2015.

UNIT 1 : SETS, RELATIONS AND FUNCTIONS:

Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;. one-one, into and onto functions, composition of functions.

UNIT 2 : COMPLEX NUMBERS AND QUADRATIC EQUATIONS:

Complex numbers as ordered pairs of reals, Representation of 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, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots.

UNIT 3 : MATRICES AND DETERMINANTS:

Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

UNIT 4 : 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 5 : MATHEMATICAL INDUCTION:

Principle of Mathematical Induction and its simple applications.

UNIT 6 : BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

UNIT 7 : SEQUENCES AND SERIES:

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico – Geometric progression.

UNIT 8 : LIMIT, CONTINUITY AND DIFFERENTIABILITY:

Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. 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 upto two. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals.

UNIT 9 : INTEGRAL CALCULUS:

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.

Evaluation of simple integrals of the type Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

UNIT 10: 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 of the type: dy/dx+p(x)y=q(x)

UNIT 11: CO-ORDINATE GEOMETRY:

Cartesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.

Straight lines

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.

Circles, conic sections

Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, 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 a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency.

UNIT 12: THREE DIMENSIONAL GEOMETRY:

Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines.

UNIT 13: VECTOR ALGEBRA:

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.

UNIT 14: STATISTICS AND PROBABILITY:

Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye’s theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution.

UNIT 15: TRIGONOMETRY:

Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances.

UNIT 16: MATHEMATICAL REASONING:

Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive.



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Indian Institute of Technology (IIT) Delhi

Indian Institute of Technology (IIT), Delhi was established in the year 1961.

Indian Institute of Technology (IIT) Delhi Courses Offered

Address : Shaheed Jeet Singh Marg, New Delhi - 110016, Ph : 91-11-26591171, Fax: 91-11-26862620, Email : hoddms@dms.iitd.ac.in, skjain@dms.iitd.ac.in.

 
Birla Institute of Technology and Science BITS Pilani

Birla Institute of Technology and Science is a higher educational institute that is known for its excellent pedagogy in engineering and sciences.

Birla Institute of Technology and Science BITS Pilani Courses Offered

Address : Vidya Vihar Campus, Pilani, Rajasthan, India Ph : 01596 -242090

 
VIT (Vellore Institute of Technology) Vellore

Vellore Institute of Technology in Vellore is considered to be one of the leading technical training institutes in the state of Tamil Nadu.

VIT (Vellore Institute of Technology) Vellore Courses Offered

Address : VIT University, Vellore, Tamil Nadu 632014, India.

 
NIT (National Institute of Technology) Surathkal

National Institute of Technology Suratkal is a public engineering institute that was set up in the year 1960.

NIT (National Institute of Technology) Surathkal Courses Offered

Address : Surathkal, Srinivasnagar, Mangalore - 575025, India. Ph : +91-824-2474000 Fax :+91-824-2474033

 
College of Engineering Anna University Guindy

College of Engineering Anna University Chennai is one of the pioneer engineering institutes in the state of Tamil Nadu, which was established in the year 1794.

College of Engineering Anna University Guindy Courses Offered

Address : Sardar Patel Road, Guindy, Chennai, Tamil Nadu, India Ph : 044 - 22351723, 22351126 Email: deanceg@annauniv.edu

 
PSG College of Technology

PSG College of Technology is located in Coimbatore in Tamil Nadu.

PSG College of Technology Courses Offered

Address : Post Box No. 1611 Peelamedu Coimbatore - 641 004 Tamil Nadu INDIA Ph : 422-2572177, 2572477, 2580455, 2578455, 4344777 Email: principal@psgtech.edu

 
Delhi College of Engineering (DCE) Delhi

Delhi College of Engineering (DCE) is one of the self- financing engineering colleges in Delhi that was established in year 1941.

Delhi College of Engineering (DCE) Delhi Courses Offered

Address : 14875, New Campus Shahbad, Warden Flat, Daulatpur, Engineering College, New Delhi, DL 110042, India Phone : 011 27871030

 
NIT (National Institute of Technology) Trichy

National Institute of Technology in Tiruchirappalli is a public engineering institute that was set up in the year 1964.

NIT (National Institute of Technology) Trichy Courses Offered

Address : Tanjore Main Road, National Highway 67, Tiruchirappalli - 620015, Tamil Nadu, India.

 
Motilal Nehru National Institute of Technology (MNIT)

Motilal Nehru National Institute of Technology (MNIT) formerly known as Motilal Nehru Engineering College was founded in the year 1961 as a joint venture of the central government and the government of Uttar Pradesh.

Motilal Nehru National Institute of Technology (MNIT) Courses Offered

Address : Teliarganj, Allahabad, Uttar Pradesh, India

 
NIT (National Institute of Technology) Calicut

NIT (National Institute of Technology) in Calicut is a public engineering institute that was set up in the year 1961.

NIT (National Institute of Technology) Calicut Courses Offered

Address : Kettangal Koduvally Road, Kozhikode, Kerala, India Ph : 0495 228 6118

 
NIT (National Institute of Technology) Rourkela

NIT (National Institute of Technology) in Rourkela is a public engineering institute that was set up in the year 1964.

NIT (National Institute of Technology) Rourkela Courses Offered

Address : Orissa, Rourkela Pin - 769008.

 
BIT Mesra
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Birla Institute of Technology, Mesra (BIT Mesra) established in the year 1955 by visionary-industrialist Mr.

BIT Mesra Courses Offered

Address : Birla Institute of Technology, Mesra,  Ranchi, Jharkhand 835215.  Tel: +91 651 2275444/ 2275896  
 
Thapar University Patiala

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Thapar University Patiala Courses Offered

Address : P.O Box 32, Patiala, Pin -147004 Ph : +91-175-2393021 Fax : +91-175-2364498, 2393020 Email :  registrar@thapar.edu

 
Veermata Jijabai Technological Institute

Veermata Jijabai Technological Institute is one of the oldest technical institutes in Asia that was established in the year 1887.

Veermata Jijabai Technological Institute Courses Offered

Address : Nathalal Parekh Road, Matunga East, Mumbai, MH, India Ph : 022 2419 8102

 
Mepco Schlenk Engineering College Sivakasi

Mepco Schlenk Engineering College in Sivakasi, Tamil Nadu is a self financed technical institute, established in the year 1984 under the guidance of Mepco Schlenk Charities.

Mepco Schlenk Engineering College Sivakasi Courses Offered

Address : Sivakasi Mepco Engineering College (PO) - 626 005 Ph : 04562 - 235000(30 Lines) Fax : 04562 - 235111 E-Mail : principal@mepcoeng.ac.in

 



 
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