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The IIT JAM 2025 Mathematics syllabus has been officially released by the exam authority and is available for download in PDF format. IIT JAM, conducted by IIT Delhi, is a joint entrance exam for admission to Masters’s programs in Science and Technology offered by Indian Institutes of Technology and the Indian Institute of Science. Students preparing for the exam can access the syllabus and other relevant materials to enhance their preparation.
The IIT JAM is known as the India Institute of Technology, and the Indian Institute of Science may offer the Joint Admission Test for Masters of Science and Technology.
IIT Delhi conducts the IIT JAM 2025 Exam. The examination will be held on 2nd February 2025. For better preparation, Candidates can also Download other IIT JAM Syllabus in PDF format.
Click to Download the MA Syllabus PDF Here.
Mathematics
Real Analysis:
Sequences and Series of Real Numbers: A sequence of real numbers, a convergence of sequences, bounded and monotone sequences, convergence criteria for sequences of real numbers, Cauchy sequences, subsequences, Bolzano-Weierstrass theorem. Series of real numbers, absolute convergence, tests of convergence for series of positive terms – comparison test, ratio test, root test; Leibniz test for convergence of alternating series.
Functions of One Real Variable: limit, continuity, intermediate value property, differentiation, Rolle’s Theorem, mean value theorem, L’Hospital rule, Taylor’s theorem, Taylor’s series, maxima and minima, Riemann integration (definite integrals and their properties), fundamental theorem of calculus.
Multivariable Calculus and Differential Equations:
Functions of Two or Three Real Variables: limit, continuity, partial derivatives, total derivative, maxima and minima.
Integral Calculus: Integration as the inverse process of differentiation, definite integrals, and their properties, fundamental theorem of calculus. Double and triple integrals, change of order of integration, calculating surface areas and volumes using double integrals, calculating volumes using triple integrals.
Differential Equations: Ordinary differential equations of the first order of the form y’=f(x,y), Bernoulli’s equation, exact differential equations, integrating factor, orthogonal trajectories, homogeneous differential equations, variable separable equations, linear differential equations of second order with constant coefficients, a method of variation of parameters, Cauchy-Euler equation.
Linear Algebra and Algebra:
Matrices: systems of linear equations, rank, nullity, rank-nullity theorem, inverse, determinant, eigenvalues, eigenvectors.
Finite Dimensional Vector Spaces: linear independence of vectors, basis, dimension, linear transformations, matrix representation, range space, null space, rank-nullity theorem.
Groups: cyclic groups, abelian groups, non-abelian groups, permutation groups, normal subgroups, quotient groups, Lagrange’s theorem for finite groups, group homomorphism.
IIT JAM Mathematics Syllabus 2025 FAQs
What is IIT JAM?
IIT JAM, or the Joint Admission Test for Masters, is an entrance exam conducted by various Indian Institutes of Technology (IITs) and the Indian Institute of Science (IISc) for admission to Master of Science (M.Sc.) and other postgraduate programs in Science and Technology disciplines.
Who conducts the IIT JAM exam?
IIT JAM is conducted jointly by IITs and IISc Bangalore. Each year, one of the IITs takes responsibility for organizing the exam on a rotational basis. For instance, IIT Delhi may conduct the exam for a particular year.
What are the eligibility criteria for IIT JAM?
Candidates must have a Bachelor’s degree with a specific minimum percentage (usually 55% for General/OBC-NCL/EWS categories and 50% for SC/ST and PwD categories). There are also specific subject-wise eligibility criteria that vary depending on the discipline chosen.
How can I apply for IIT JAM?
The application process for IIT JAM is online. Candidates need to visit the official website of the organizing institute, fill out the application form, upload the required documents, and pay the application fee online. Detailed instructions are provided in the official notification.
What is the exam pattern for IIT JAM?
IIT JAM is a computer-based test (CBT) consisting of multiple-choice questions (MCQs), multiple-select questions (MSQs), and numerical answer type (NAT) questions. The duration of the exam is usually 3 hours.
What is the syllabus for IIT JAM Mathematics?
The syllabus for IIT JAM Mathematics includes topics such as Sequences and Series, Real Analysis, Functions of One Real Variable, Differential Equations, Vector Calculus, Group Theory, Linear Algebra, etc. It covers undergraduate-level mathematics extensively.
How can I prepare for IIT JAM?
Effective preparation for IIT JAM involves a thorough study of the syllabus, practising previous years’ question papers, understanding key concepts through standard textbooks, and taking mock tests to improve time management and exam strategy.
When is the IIT JAM exam conducted?
IIT JAM is typically conducted in February every year. The exact dates and schedule are announced in the official notification by the organizing institute, usually several months in advance.
What is the validity of the IIT JAM score?
The validity of the IIT JAM scorecard is usually for one year. Candidates can use the score to apply for admission to various postgraduate programs offered by IITs, IISc, and other participating institutes.
How are admissions conducted through IIT JAM scores?
Admissions through IIT JAM scores are based on merit. Candidates are allotted seats in participating institutes based on their performance in the exam and the preferences filled during the online counselling process conducted by the organizing institute.
If you have any other queries regarding IIT JAM Mathematics Syllabus 2025, you can ask us by commenting below.
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