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    GATE Mathematics Syllabus 2024 - Download Detailed Syllabus PDF

    JEE Main 2024 latest syllabus - New topics vs Dropped ones

    JEE Main 2024 updated syllabus as per NTA

    GATE Mathematics Syllabus 2024 - Download Detailed Syllabus PDF

    Edited By Isha Jain | Updated on Feb 04, 2024 07:17 PM IST | #GATE

    GATE Mathematics Syllabus 2024: IISc Bangalore has released the GATE 2024 Mathematics syllabus at the official website, gate2024.iisc.ac.in. The syllabus of GATE for Mathematics 2024 will comprise topics that are important to study for GATE 2024. Candidates can check the GATE Mathematics syllabus pdf on this page. Moreover, the authority prepared the GATE Mathematics question paper based on topics mentioned in the GATE 2024 syllabus of Maths. Candidates preparing for the Graduate Aptitude Test in Engineering should follow only the topics that are mentioned on the GATE 2024 syllabus rather than focusing the unnecessary topics. Candidates can check the GATE 2024 exam date online at the official website.
    Also Read: GATE question paper

    Along with the syllabus, candidates must be aware of the GATE exam pattern 2024. Knowing the exam pattern of GATE Mathematics 2024 will make the candidates familiar with the structure of the paper. Moreover, candidates can practice the GATE Mathematics sample paper to boost their level of preparation and focus on the weaker sections. Candidates can check the page for the GATE Mathematics syllabus 2024.

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    GATE 2024 Mathematics Syllabus

    Aspirants can check the GATE 2024 maths syllabus pdf below to know what topics to cover for the preparation.

    GATE Maths Syllabus 2024

    Topics

    Sub Topics

    Calculus

    Functions of two or more variables, continuity, directional derivatives, partial derivatives, total derivative, maxima and minima, saddle point, method of Lagrange’s multipliers; Double and Triple integrals and their applications to area, volume and surface area; Vector Calculus: gradient, divergence and curl, Line integrals and Surface integrals, Green’s theorem, Stokes’ theorem, and Gauss divergence theorem

    Linear Algebra

    Finite dimensional vector spaces over real or complex fields; Linear transformations and their matrix representations, rank and nullity; systems of linear equations, characteristic polynomial, eigenvalues and eigenvectors, diagonalization, minimal polynomial, Cayley-Hamilton Theorem, Finite dimensional inner product spaces, Gram-Schmidt orthonormalization process, symmetric, skew-symmetric, Hermitian, skew-Hermitian, normal, orthogonal and unitary matrices; diagonalization by a unitary matrix, Jordan canonical form; bilinear and quadratic forms.

    Real Analysis

    Metric spaces, connectedness, compactness, completeness; Sequences and series of functions, uniform convergence, Ascoli-Arzela theorem; Weierstrass approximation theorem; contraction mapping principle, Power series; Differentiation of functions of several variables, Inverse and Implicit function theorems; Lebesgue measure on the real line, measurable functions; Lebesgue integral, Fatou’s lemma, monotone convergence theorem, dominated convergence theorem.

    Complex Analysis

    Functions of a complex variable: continuity, differentiability, analytic functions, harmonic functions; Complex integration: Cauchy’s integral theorem and formula; Liouville’s theorem, maximum modulus principle, Morera’s theorem; zeros and singularities; Power series, radius of convergence, Taylor’s series and Laurent’s series; Residue theorem and applications for evaluating real integrals; Rouche’s theorem, Argument principle, Schwarz lemma; Conformal mappings, Mobius transformations.

    Ordinary Differential Equations

    First order ordinary differential equations, existence and uniqueness theorems for initial value problems, linear ordinary differential equations of higher order with constant coefficients; Second order linear ordinary differential equations with variable coefficients; Cauchy-Euler equation, method of Laplace transforms for solving ordinary differential equations, series solutions (power series, Frobenius method); Legendre and Bessel functions and their orthogonal properties; Systems of linear first order ordinary differential equations, Sturm's oscillation and separation theorems, Sturm-Liouville eigenvalue problems, Planar autonomous systems of ordinary differential equations: Stability of stationary points for linear systems with constant coefficients, Linearized stability, Lyapunov functions

    Algebra

    Groups, subgroups, normal subgroups, quotient groups, homomorphisms, automorphisms; cyclic groups, permutation groups, Group action, Sylow’s theorems and their applications; Rings, ideals, prime and maximal ideals, quotient rings, unique factorization domains, Principle ideal domains, Euclidean domains, polynomial rings, Eisenstein’s irreducibility criterion; Fields, finite fields, field extensions, algebraic extensions, algebraically closed fields

    Functional Analysis

    Normed linear spaces, Banach spaces, Hahn-Banach theorem, open mapping and closed graph theorems, principle of uniform boundedness; Inner-product spaces, Hilbert spaces, orthonormal bases, projection theorem, Riesz representation theorem, spectral theorem for compact self-adjoint operators

    Numerical Analysis

    Systems of linear equations: Direct methods (Gaussian elimination, LU decomposition, Cholesky factorization), Iterative methods (Gauss-Seidel and Jacobi) and their convergence for diagonally dominant coefficient matrices; Numerical solutions of nonlinear equations: bisection method, secant method, Newton-Raphson method, fixed point iteration; Interpolation: Lagrange and Newton forms of interpolating polynomial, Error in polynomial interpolation of a function; Numerical differentiation and error, Numerical integration: Trapezoidal and Simpson rules, Newton-Cotes integration formulas, composite rules, mathematical errors involved in numerical integration formulae; Numerical solution of initial value problems for ordinary differential equations: Methods of Euler, Runge-Kutta method of order 2

    Partial Differential Equations

    Method of characteristics for first order linear and quasilinear partial differential equations; Second order partial differential equations in two independent variables: classification and canonical forms, method of separation of variables for Laplace equation in Cartesian and polar coordinates, heat and wave equations in one space variable; Wave equation: Cauchy problem and d'Alembert formula, domains of dependence and influence, nonhomogeneous wave equation; Heat equation: Cauchy problem; Laplace and Fourier transform methods.

    Topology

    Basic concepts of topology, bases, subbases, subspace topology, order topology, product topology, quotient topology, metric topology, connectedness, compactness, countability and separation axioms, Urysohn’s Lemma

    Linear Programming

    Linear programming models, convex sets, extreme points; Basic feasible solution, graphical method, simplex method, two phase methods, revised simplex method; Infeasible and unbounded linear programming models, alternate optima; Duality theory, weak duality and strong duality; Balanced and unbalanced transportation problems, Initial basic feasible solution of balanced transportation problems (least cost method, north-west corner rule, Vogel’s approximation method); Optimal solution, modified distribution method; Solving assignment problems, Hungarian method

    Direct link to download GATE Mathematics syllabus
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    Best Books for GATE 2024 Mathematics Syllabus

    Candidates should not rely on a single resource for the preparation of the entrance test. Aspirants should refer to the best books for the preparation of tests. Books help include almost every topic mentioned in the GATE Mathematics syllabus 2024 and also help in understanding the topics in more simple steps. When the concepts are clear it becomes easy to solve the problems which will result in good scores. Below is the list of best books for GATE Mathematics syllabus 2024.

    Book Name

    Author Name

    MADE EASY Engineering Mathematics

    MADE EASY Editorial Board

    GATE GENERAL APTITUDE & ENGINEERING MATHEMATICS

    Trishna

    Higher Engineering Mathematics

    B.S. Grewal

    Engineering Mathematics for GATE

    T.K. Mandal and A.K. Chakraborty

    GATE Mathematics

    Arihant Publications

    GATE Mathematics Solved Papers

    Made Easy Publications

    Engineering Mathematics for GATE

    T.K. Mandal and A.K. Chakraborty

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    GATE 2024 Mathematics Syllabus: Topic Wise Weightage

    Along with the GATE syllabus for Mathematics, candidates should also check the GATE Mathematics topic-wise weightage of questions in the papers. However, the high-weightage topics list is prepared based on the previous year GATE exam analysis and question papers. Check the table for the gate 2024 MA syllabus with weightage.

    Topics

    Weightage in %

    Vector Calculus

    20%

    Probability & Statistics

    20%

    Numerical Methods

    20%

    Differential Equation

    10%

    Calculus

    10%

    Linear Algebra

    10%

    Complex Variables

    10%

    GATE Mathematics Syllabus 2024: Important Topics

    GATE important topics 2024 are those topics that have high weightage in the exam and are covered in almost all exams. As per the GATE exam syllabus for mathematics and previous years question paper analysis the most important topics that are covered in almost all GATE exams conducted so far are as follows.

    • Real Analysis

    • Ode and Pde

    • Topology

    • Calculus

    • Linear Algebra

    • Complex Analysis

    • Linear programming

    • Functional analysis

    • Probability & Statistics

    • Numerical analysis

    • Real Analysis

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    Frequently Asked Question (FAQs)

    1. When will the authorities release GATE 2024 syllabus Mathematics?

    The GATE Mathematics syllabus 2024 has released along with the official brochure.

    2. Can I download the GATE Maths syllabus in pdf format?

    Yes, the GATE Maths syllabus 2024 is available in pdf format.

    3. Is calculus included in the GATE Mathematics syllabus?

    Yes, Calculus is one of the topics included in the GATE syllabus for Mathematics.

    4. What is the syllabus for GATE 2024?

    IISc Bangalore has released the GATE 2024 syllabus online at its official website.

    5. When should I start preparing for GATE 2024?

    Early preparation is the best option. Currently, candidates have plenty of months for preparation. If the candidate chooses early preparation then they will have much time for the revision. 

    6. Who will take GATE 2024?

    IISc Bangalore is the conducting body for GATE 2024

    7. What is the GATE Mathematics syllabus for CSE?

    The GATE Mathematics syllabus for CSE is as follows

    • Discrete Mathematics

    • Linear Algebra

    • Calculus

    • Probability and Statistics

    8. How can I download GATE 2024 Mathematics syllabus pdf?

    Candidates can download the GATE Mathematic syllabus online after the official release. 

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    Questions related to GATE

    Have a question related to GATE ?

    Hey,

    Some of the top MTech colleges that accept GATE scores include:

    1. Indian Institute of Technology (IIT) Roorkee
    2. Indian Institute of Technology (IIT) Guwahati
    3. Delhi Technological University (DTU), Delhi
    4. Birla Institute of Technology and Science (BITS), Pilani
    5. National Institute of Technology (NIT) Trichy (Tiruchirappalli)

    Other top government institutes that accept GATE scores include: IIT Delhi, NIT Warangal, Jadavpur University. According to Shiksha, the most popular MTech colleges in India include: IIT Madras, IIT Delhi, IIT Bombay, IIT Kanpur.

    For detailed information please visit : https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-India-accepting-gate-score

    Hope this helps you.

    Hello aspirant,

    Here below are the name of some of the best coaching institute in India:

    • The Ace Engineering Academy
    • The GATE Academy
    • T.I.M.E
    • GATE Institute of ICE
    • GATE Academy at IES

    For more information, please visit the following link:

    https://engineering.careers360.com/articles/best-gate-coaching-institutes-in-india-with-fees-structure

    Thank you

    Hope it helps you.

    Hey,

    As per the GATE exam eligibility, any undergraduate student in the third year or higher year of any government-approved degree in Engineering, Technology, Architecture, Arts, Commerce or Science can give GATE.

    You can visit : https://engineering.careers360.com/articles/gate-eligibility-criteria for the eligibility criteria of age , qualification, etc.

    Hope this helps you!

    Hii There,
    To compute the GATE Percentile for 2024, the process involves deducting the student's rank from the total number of candidates, dividing this result by the total number of candidates, and then multiplying by 100.

    To know more about GATE 2024 - Marks & Rank, please visit:

    https://engineering.careers360.com/articles/gate-marks-vs-rank


    I hope this answers your question.

    Thanks

    Hello aspirant,

    Hope you are doing great.

    Coming to your question, the things which are essential to carry for the GATE exam are as follows, except these you shall not carry any other things.

    1. GATE Hall ticket

    2. Passport size photo

    3. Water Bottle

    4. Pen

    5. Pencil

    6. Bottle

    7. Mask

    8. Valid Identification Card, and

    9. Hand Sanitizer

    Hope this helps!


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    In a career as a vlogger, one generally works for himself or herself. However, once an individual has gained viewership there are several brands and companies that approach them for paid collaboration. It is one of those fields where an individual can earn well while following his or her passion. 

    Ever since internet costs got reduced the viewership for these types of content has increased on a large scale. Therefore, a career as a vlogger has a lot to offer. If you want to know more about the Vlogger eligibility, roles and responsibilities then continue reading the article. 

    3 Jobs Available
    Editor

    Individuals in the editor career path is an unsung hero of the news industry who polishes the language of the news stories provided by stringers, reporters, copywriters and content writers and also news agencies. Individuals who opt for a career as an editor make it more persuasive, concise and clear for readers. In this article, we will discuss the details of the editor's career path such as how to become an editor in India, editor salary in India and editor skills and qualities.

    3 Jobs Available
    Advertising Manager

    Advertising managers consult with the financial department to plan a marketing strategy schedule and cost estimates. We often see advertisements that attract us a lot, not every advertisement is just to promote a business but some of them provide a social message as well. There was an advertisement for a washing machine brand that implies a story that even a man can do household activities. And of course, how could we even forget those jingles which we often sing while working?

    2 Jobs Available
    Photographer

    Photography is considered both a science and an art, an artistic means of expression in which the camera replaces the pen. In a career as a photographer, an individual is hired to capture the moments of public and private events, such as press conferences or weddings, or may also work inside a studio, where people go to get their picture clicked. Photography is divided into many streams each generating numerous career opportunities in photography. With the boom in advertising, media, and the fashion industry, photography has emerged as a lucrative and thrilling career option for many Indian youths.

    2 Jobs Available
    Social Media Manager

    A career as social media manager involves implementing the company’s or brand’s marketing plan across all social media channels. Social media managers help in building or improving a brand’s or a company’s website traffic, build brand awareness, create and implement marketing and brand strategy. Social media managers are key to important social communication as well.

    2 Jobs Available
    Welding Engineer

    Welding Engineer Job Description: A Welding Engineer work involves managing welding projects and supervising welding teams. He or she is responsible for reviewing welding procedures, processes and documentation. A career as Welding Engineer involves conducting failure analyses and causes on welding issues. 

    5 Jobs Available
    QA Manager
    4 Jobs Available
    Product Manager

    A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

    3 Jobs Available
    Quality Controller

    A quality controller plays a crucial role in an organisation. He or she is responsible for performing quality checks on manufactured products. He or she identifies the defects in a product and rejects the product. 

    A quality controller records detailed information about products with defects and sends it to the supervisor or plant manager to take necessary actions to improve the production process.

    3 Jobs Available
    Production Manager
    3 Jobs Available
    Reliability Engineer

    Are you searching for a Reliability Engineer job description? A Reliability Engineer is responsible for ensuring long lasting and high quality products. He or she ensures that materials, manufacturing equipment, components and processes are error free. A Reliability Engineer role comes with the responsibility of minimising risks and effectiveness of processes and equipment. 

    2 Jobs Available
    Safety Manager

    A Safety Manager is a professional responsible for employee’s safety at work. He or she plans, implements and oversees the company’s employee safety. A Safety Manager ensures compliance and adherence to Occupational Health and Safety (OHS) guidelines.

    2 Jobs Available
    Corporate Executive

    Are you searching for a Corporate Executive job description? A Corporate Executive role comes with administrative duties. He or she provides support to the leadership of the organisation. A Corporate Executive fulfils the business purpose and ensures its financial stability. In this article, we are going to discuss how to become corporate executive.

    2 Jobs Available
    Azure Administrator

    An Azure Administrator is a professional responsible for implementing, monitoring, and maintaining Azure Solutions. He or she manages cloud infrastructure service instances and various cloud servers as well as sets up public and private cloud systems. 

    4 Jobs Available
    AWS Solution Architect

    An AWS Solution Architect is someone who specializes in developing and implementing cloud computing systems. He or she has a good understanding of the various aspects of cloud computing and can confidently deploy and manage their systems. He or she troubleshoots the issues and evaluates the risk from the third party. 

    4 Jobs Available
    QA Manager
    4 Jobs Available
    ITSM Manager
    3 Jobs Available
    Information Security Manager

    Individuals in the information security manager career path involves in overseeing and controlling all aspects of computer security. The IT security manager job description includes planning and carrying out security measures to protect the business data and information from corruption, theft, unauthorised access, and deliberate attack 

    3 Jobs Available
    Computer Programmer

    Careers in computer programming primarily refer to the systematic act of writing code and moreover include wider computer science areas. The word 'programmer' or 'coder' has entered into practice with the growing number of newly self-taught tech enthusiasts. Computer programming careers involve the use of designs created by software developers and engineers and transforming them into commands that can be implemented by computers. These commands result in regular usage of social media sites, word-processing applications and browsers.

    3 Jobs Available
    Product Manager

    A Product Manager is a professional responsible for product planning and marketing. He or she manages the product throughout the Product Life Cycle, gathering and prioritising the product. A product manager job description includes defining the product vision and working closely with team members of other departments to deliver winning products.  

    3 Jobs Available
    Computer System Analyst

    Individuals in the computer systems analyst career path study the hardware and applications that are part of an organization's computer systems, as well as how they are used. They collaborate closely with managers and end-users to identify system specifications and business priorities, as well as to assess the efficiency of computer systems and create techniques to boost IT efficiency. Individuals who opt for a career as a computer system analyst support the implementation, modification, and debugging of new systems after they have been installed.

    2 Jobs Available
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