- HomeJEE Main Mathematics Syllabus
Here you will find JEE Main Mathematics Syllabus 2023.
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.
JEE Main Physics Syllabus
JEE Main Chemistry Syllabus
JEE Main B Arch Syllabus
Indian Institute of Technology (IIT), Delhi was established in the year 1961.
Indian Institute of Technology (IIT) Delhi Courses Offered
Institute of Management Technology (IMT) - Ghaziabad, was established in 1980 by well-known industrialist Shri.
Institute of Management Technology (IMT) Ghaziabad Courses Offered
Institute for Technology and Management is one of the earliest private business schools in Navi Mumbai that was set up in the year 1991.
Institute for Technology and Management Navi Mumbai Courses Offered
National Institute of Industrial Engineeringis a business school that was founded in the year 1963; so, one can say that it is one of the pioneer business schools in India.
National Institute of Industrial Engineering Courses Offered
Anna University of Technology, Coimbature is affiliated with Anna University.
Anna University Coimbatore Courses Offered
BIT Mesra Courses Offered
Galgotias College of Engineering and Technology in Noida is considered as one of the leading technical training institutes in the state of Uttar Pradesh.
Galgotias College of Engineering and Technology (GCET) Courses Offered
Indraprastha Institute of Technology and Management (IITM) in Delhi was founded in the year 2002.
Indraprastha Institute of Technology and Management (IITM) Delhi Courses Offered
Jawaharlal Nehru Technological University in Hyderabad is a university that was founded by the Government of Andhra Pradesh in the year 1965.
Jawaharlal Nehru Technological University Hyderabad Courses Offered
Kongu Engineering College is a one of the prominent self financing technical institutes in Tamil Nadu that was founded by Kongu Vellalar Institute of Technology Trust in the year 1983.
Kongu Engineering College Erode Courses Offered
Kristu Jayanti College of Management & Technology, Bangalore is a higher educational institute that was set in the year 1999 by Bodhi Niketan Trust, which was formed by St.
Kristu Jayanti College of Management and Technology Bangalore Courses Offered
Lingaya’s Institute of Management & Technology (LIMAT) was established in the year 1998 in the remembrance of great freedom fighter Late Shri Gadde Lingaya.
Lingayas University Courses Offered
Lovely Professional University is a private university that was set up by Late Shri Baldev Raj Mittal.
Lovely Professional University Jalandhar Courses Offered
MS Ramaiah Institute of Technology is located in Bangalore in Karnataka.
M S Ramaiah Institute of Technology Bangalore Courses Offered
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