Notice

JEE Main 2019 Maths syllabus

JEE Main Maths Syllabus 2019 is announced by the conducting authority for the examination scheduled in January and April 2019. There are around 16 units covered in the JEE Main 2019 maths syllabus. Similar to the last year, the syllabus and the exam pattern remain unchanged. JEE Main maths syllabus will also help the students in formulating their strategy in an organized manner. Each and every concept included in JEE Main syllabus for maths is important and the questions could be expected from anywhere. National Testing Agency (NTA) has released the syllabus of JEE Main 2019. The syllabus has not been changed and is the same as the one that was followed beforeUnderstanding JEE Main maths syllabus 2019 will help the engineering aspirants to develop a clear understanding of what concepts are to prepared or avoided for better results in JEE Main. For mathematics, the students need to have a rigorous practice. The more mad more problems you will practice, the better will be your accuracy and speed.

The detailed list of all the concepts included in JEE Mains Maths Syllabus 2019 is mentioned below. The students can refer to JEE Main syllabus for maths and accordingly plan an effective preparation strategy.

JEE Main Maths Syllabus 2019

Unit 1 Sets, Relations, and Functions

• Sets and their representation.
• Union, intersection, and complement of sets and their algebraic properties.
• Powerset.
• Relation, Types of relations, equivalence relations.
• Functions; one-one, into and onto functions, the 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.
• The relation between roots and coefficients, nature of roots, the formation of quadratic equations with given roots.

Unit 3 Matrices and Determinants

• Matrices: Algebra of matrices, types of matrices, and matrices of order two and three.
• Determinants: Properties of determinants, evaluation of determinants, the 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

• The fundamental principle of counting.
• Permutation as an arrangement and combination as selection.
• The meaning of P (n,r) and C (n,r). Simple applications.
Read in Details: JEE Main Eligibility: Age, FAQs, Subject, Qualification

Unit 5 Mathematical Induction

• The principle of Mathematical Induction and its simple applications.

Unit 6 Binomial Theorem

• Binomial theorem for a positive integral index.
• General term and middle term.
• Properties of Binomial coefficients and simple applications.

Unit 7 Sequence and Series

• Arithmetic and Geometric progressions, insertion of arithmetic.
• Geometric means between two given numbers.
• The relation between A.M. and G.M.
• Sum up to n terms of special series: Sn, Sn2, Sn3.
• Arithmetic-Geometric progression.
Need to Know: 5 things to do if you couldn't clear your JEE Mains

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 up to 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 antiderivative.
• 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.
• Evaluation of simple integrals:
• 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.
• The solution of differential equations by the method of separation of variables.
• The solution of homogeneous and linear differential equations of the type.

Unit 11 Coordinate Geometry

• Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus, and its equation, translation of axes, the 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 the 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 endpoints 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 3D Geometry

• Coordinates of a point in space, the distance between two points.
• Section formula, direction ratios, and direction cosines, the 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, the intersection of a line and a plane, coplanar lines.

Unit 13 Vector Algebra

• Scalars and Vectors. Addition, subtraction, multiplication, and division of vectors.
• Vector’s Components in 2D and 3D space.
• Scalar products and vector products, triple product.

Unit 14 Statistics and Probability

• Measures of Dispersion: Calculation of mean, mode, median, variance, standard deviation, and mean deviation of ungrouped and grouped data.
• Probability: Probability of events, multiplication theorems, addition theorems, Baye’s theorem, Bernoulli trials, Binomial distribution, and probability distribution.

Unit 15 Trigonometry

• Identities of Trigonometry and Trigonometric Equations.
• Functions of Trigonometry.
• Properties of Inverse trigonometric functions.
• Problems on Heights and Distances.

Unit 16 Mathematical Reasoning

• Statements and logical operations: or, and, implied by, implies, only if and if.
• Understanding of contradiction, tautology, contrapositive, and converse.
• JEE Main maths syllabus comprises of all the topics included in class XI and class XII maths syllabus. The students are advised to prepare a list of all the important maths concepts in JEE main syllabus and practice rigorously to ensure a meritorious position in the exam.
Know more about: Trending engineering branches which are highest paid
Share:

Which Engineering Branches Have the Maximum Chance...

Life of a student up to standard 10th and 12th is so easy, right?? Similar syllabus for all, less stress and less confusion regarding the career. Limited streams and the only target is to score good marks in the exams but immediately after qualifying the 10+2 and the entrance exams the real confusion starts. Which branch or specialization to take? Which has better job opportunity?? Would the subject be tough for me to deal with?? Countless questions like this arise in the mind of a student. Especially deciding the right engineering stream is quite tricky for both students and their parents.  Because the list of engineering branches is very big and many new Engineering branches are introduced with time. If you are in the same situation then this article may guide you to choose a suitable stream for you. Core Branches: Earlier, there were mainly three Branches of Engineering like Mechanical Engineering, Civil Engineering and Electrical Engineering. From these branches, many other new Engineering branches came from. Earlier, Engineering was all about creating machines and dealing with electricity and building structures. These three branches are the base of all the engineering branches and this is why they are called core branches of Engineering. Advantages of selecting core branches in engineering: The core branches of engineering remained relevant and grounded through time, despite the immense growth in almost all the existing domains of knowledge. Core branches are involved in every industry in one way or the other. So, Job opportunities are available in both the private and public sectors. These sectors not too easily get affected by the recession.  So, job security is there. Engineering Branches to get a Government Job Easily: These days the majority of young mass are getting engaged in private sectors because getting a government job has become very tough at the same time private companies are offering jobs with attractive salary package. Still, there are many reasons for which many students wish to get a government job. The various facilities which come along with government jobs are like job security, handsome salary and perks, fixed working hours, holidays and many more.  The government departments where the Engineers can get employment are- State Electricity Board, Indian Railways, DRDO (Defence Research and Development Organization), BHEL (Bharat Heavy Electricals Limited), BSNL, Indian Army, Indian Navy, PWD (Public Works Department), NTPC, Indian Oil Corporation, Government managed refineries, Fertilizer Corporation of India, DRDO, ONGC, Forensic Department, Department of Agriculture, Dairy Development Department, NHAI (National Highways Authority of India), Town Planning Office, Food Processing Industry and Government universities. Some of the engineering branches through which you can get a government job easily are as follows- Mechanical Engineering Chemical Engineering Civil Engineering Agricultural Engineering Electronics and Communications Engineering Dairy Technology and Engineering Electrical Engineering Food Processing and Technology Biotechnology Petroleum Engineering Highest-paying Engineering Jobs in India: There is a saying that ‘skills pay the bills’. Which means if you have the skill then money will run after you. The more skilled you are the more you will be paid.  This factor is applicable in all the fields. Along with this, the other factors which determine the salary range of a profession are like demand, nature of work, responsibility and accountability of the job etc... So, some of the highest rewarding Engineering branches in India are as follows-  Aerospace Engineering Information Technology or Computer Science Engineering Nuclear Engineering Architecture engineering Petroleum Engineering Mechanical Engineering Chemical Engineering Electrical Engineering The fact is that every branch has good scope and opportunities if you perform well in it. If you take up a branch just because of its job prospects and you lack interest in it, you can’t excel in your career.  Though new trends coming up in every few years so the scope for a field keeps changing with time. So go for a branch in which you have interest, enhance your skill then no one can stop you to get success. Read Also: Trending engineering branches which are highest paid Read Also: 5 tips for choosing your career as Mechanical Engineer

Aerospace Engineering A Study Converting the Paper...

Have you ever wondered how these giant aircraft are made?  Who repairs these spacecraft? Are the engineers and designers who design automobiles also manufacture aeroplanes? What do they study to become such engineers??? Then, all the answers to your questions are hidden in this article. The engineers who design, construct, develop, test and maintain the commercial and military aircraft and space crafts are called Aerospace Engineers or Aeronautical engineers. Aerospace engineers have specialized in two fields i.e. aeronautical or astronautical. Aeronautical engineers are primarily involved in designing aircraft and studying the aerodynamic performance of aircraft and construction materials on the basis of the theory and practice of flight within the Earth's atmosphere. Astronautical engineers deal with small satellites, space crafts and traditional large satellites by studying both inside and outside the atmosphere of the Earth. Aeronautical Engineering is now universally known as Aerospace Engineering. The Pros and Cons of Becoming an Aerospace Engineer PROS One of the highest paid jobs in the world. They produce mega devices like aircraft, spacecraft, missiles and many more which are even beyond the imagination of common people. They get a chance to tour the world for various project works. CONS It is hard to get into this career. Very stressful job. Long working hours. This is a location-specific job, which requires an engineer to shift his and his family accordingly.  Eligibility to Study Aerospace Engineering One can pursue an advanced diploma, bachelors, masters, and PhD courses in aerospace engineering. To pursue bachelor’s degree, students interested to study aerospace engineering should take courses like chemistry, physics, advanced math, and computer programming and computer languages in 12th and for master degree, students must have a bachelor degree in the related field. Also, the aspirants have to qualify the national level entrance tests to study this branch of engineering.   Top Institutions Offering Aerospace Engineering IIT Kanpur IIT Kharagpur IIT Bombay Indian Institute of Science IIT Delhi Birla Institute of Technology Indian Institute of Aeronautical Engineering University of Petroleum and Energy Studies Hindustan University Career options in Aerospace Engineering The students of aerospace engineering study Radar Cross-Section, Fluid Mechanics, Astro-dynamics, Statics and Dynamics (engineering mechanics), Mathematics, Electrotechnology, Control engineering, Aircraft structures, Materials science, Solid mechanics, Aeroelasticity, Avionics, Software, Risk and reliability, Noise control, Aeroacoustics, Flight test. Comparatively very few students choose these branch, unlike other branches. The aerospace engineers get the opportunity to work in Air Force, Airlines, NASA, Flying clubs, Aeronautical Laboratories, Corporate Research Companies, Helicopter Companies, Defence Ministry, Aviation Companies, Aircraft manufacturers, government-owned air services and many others. In this field, one can work as Aerospace designer checker, Aircraft production managers, Mechanical design engineers, Assistant technical officers, Thermal design engineers, professors and researchers.    RELATED ARTICLES Trending engineering branches which are highest paid Agricultural Engineering - The study of survival ground Is doing MBA after Engineering Worthwhile? 5 tips for choosing your career as Mechanical Engineer