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Mathematics for Competitive Exams
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IIT JAM Mathematics | Complete IIT JAM Course | 20 docs - Veda Institute | EduRev

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EduRev's IIT JAM Mathematics Course is a comprehensive program designed to help Mathematics aspirants prepare for the highly competitive IIT JAM exam. ... view more The course covers all the major topics in Mathematics, including calculus, algebra, and geometry, and provides students with a deep understanding of the subject. With expert faculty, a comprehensive study material, and regular assessments, this course is the perfect choice for those aspiring to crack the IIT JAM Mathematics exam.

IIT JAM Mathematics | Complete IIT Study Material

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Mathematics for Competitive Exams
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Mathematics for Competitive Exams Exam Pattern 2024-2025

IIT JAM Mathematics Exam Pattern for Mathematics

If you are planning to appear for the IIT JAM Mathematics Exam, then it is essential to have a clear understanding of the exam pattern. The IIT JAM Mathematics Exam is conducted by the Indian Institutes of Technology (IITs) for admission to M.Sc. programmes in Mathematics at various IITs and other institutes across the country. The exam is conducted once a year, usually in the month of February. Here is a brief overview of the IIT JAM Mathematics Exam Pattern for Mathematics:

Mode of Exam: The IIT JAM Mathematics Exam is a computer-based test (CBT).

Duration of Exam: The exam is of 3 hours duration.

Type of Questions: The exam consists of multiple-choice questions (MCQs), multiple-select questions (MSQs), and numerical answer type (NAT) questions.

Number of Questions: The exam consists of a total of 60 questions, divided into three sections: Section A, Section B, and Section C.

Section-wise Distribution of Questions:
- Section A: 10 MCQs (each carrying 1 mark) and 20 MSQs (each carrying 2 marks).
- Section B: 10 MSQs (each carrying 2 marks).
- Section C: 10 NAT questions (each carrying 1 or 2 marks).

Marking Scheme: Each question in Section A and Section B carries 1 or 2 marks, as per the question. For each incorrect answer, 1/3 mark will be deducted for the 1-mark questions, and 2/3 mark will be deducted for the 2-mark questions. There is no negative marking for the MSQs and NAT questions.

Syllabus: The IIT JAM Mathematics Exam covers topics such as Real Analysis, Complex Analysis, Linear Algebra, Algebra, Functional Analysis, Ordinary Differential Equations, Partial Differential Equations, Numerical Analysis, Calculus of Variations, and Probability and Statistics.

It is important to note that the IIT JAM Mathematics Exam is a highly competitive exam, and the key to cracking it is a thorough understanding of the concepts and regular practice. By following the exam pattern and syllabus, you can plan your preparation strategy and increase your chances of success in the exam.

Mathematics for Competitive Exams Syllabus 2024-2025 PDF Download

Mathematics Syllabus for IIT JAM Mathematics Exam

Sequences & Series of Real Numbers



  • Real Sequences

  • Convergence and Divergence of Sequences

  • Series of Real Numbers

  • Convergence Tests for Series

  • Power Series



Point Set Topology



  • Open and Closed Sets

  • Limits and Continuity

  • Compact Sets

  • Connected Sets

  • Metric Spaces



Functions of One, Two or Three Variable



  • Real Functions of One Variable

  • Partial Derivatives and Total Derivatives

  • Chain Rule

  • Implicit Functions

  • Extrema of Functions



Basic Integration



  • Definite and Indefinite Integrals

  • Integration by Substitution

  • Integration by Parts

  • Integration of Rational Functions



Integral Calculus



  • Improper Integrals

  • Gamma and Beta Functions

  • Fourier Series

  • Laplace Transforms



Vector Calculus



  • Vector Algebra

  • Scalar and Vector Fields

  • Gradient, Divergence and Curl

  • Line Integrals

  • Surface Integrals



Differential Equations



  • First Order Differential Equations

  • Second Order Linear Differential Equations

  • Series Solutions of Differential Equations

  • Boundary Value Problems



Group Theory



  • Groups

  • Subgroups and Cyclic Groups

  • Permutation Groups

  • Cosets and Lagrange's Theorem

  • Normal Subgroups and Factor Groups



Vector Space & Linear Transformation



  • Vector Spaces

  • Basis and Dimension of Vector Spaces

  • Linear Transformations

  • Matrix Representation of Linear Transformations



Matrices & Determinants



  • Matrix Algebra

  • Determinants

  • Inverse of a Matrix

  • Eigenvalues and Eigenvectors



System of Linear Equations, Eigen Values & Eigen Vectors



  • Systems of Linear Equations

  • Gaussian Elimination

  • Rank of a Matrix

  • Eigenvalues and Eigenvectors of a Matrix

This course is helpful for the following exams: Mathematics

How to Prepare Mathematics for Competitive Exams?

Preparing for IIT JAM Mathematics requires a lot of dedication and hard work. The course offered by EduRev is an excellent resource for students who want to succeed in this field. Here are some tips on how to prepare for the IIT JAM Mathematics exam.

Understand the Syllabus: The first step in preparing for the IIT JAM Mathematics exam is to understand the syllabus. The exam covers a wide range of topics, including real analysis, complex analysis, linear algebra, abstract algebra, topology, and calculus. It is important to review the syllabus thoroughly and identify areas where you need to focus more.

Create a Study Plan: Once you have identified the syllabus, you need to create a study plan. This plan should include a schedule that covers all the topics in the syllabus. It is important to allocate more time to difficult topics and give yourself enough time to revise before the exam.

Practice, Practice, Practice: Mathematics is a subject that requires a lot of practice. It is important to solve as many problems as possible to gain a better understanding of the concepts. EduRev offers a wide range of practice problems and mock tests that can be used to test your knowledge and improve your skills.

Stay Updated: Mathematics is a subject that is constantly evolving. It is important to stay updated on the latest developments and trends in the field. This can be achieved by reading research papers, attending seminars, and joining online forums.

Take Care of Yourself: Finally, it is important to take care of yourself during the preparation process. This includes getting enough sleep, eating healthy, and taking breaks. A healthy body and mind will help you perform better on the exam.

In conclusion, preparing for the IIT JAM Mathematics exam requires a lot of dedication and hard work. But with the right resources and a solid plan, you can achieve success in this field. The course offered by EduRev is an excellent resource that can help you prepare for the exam and achieve your goals.

Importance of Mathematics for Competitive Exams

Importance of IIT JAM Mathematics Course for Mathematics

The IIT JAM Mathematics course is an excellent opportunity for students who aspire to pursue higher studies in Mathematics. It is a highly competitive exam that tests the knowledge and abilities of students in various areas of mathematics. Taking this course is an essential step towards achieving a successful career in the field of Mathematics. Here are some key points that highlight the importance of the IIT JAM Mathematics course:

1. Comprehensive Coverage of Mathematics Syllabus: The IIT JAM Mathematics course offers a comprehensive coverage of the Mathematics syllabus. It covers various topics such as Calculus, Algebra, Differential Equations, Real Analysis, and Complex Analysis. This course helps students to develop a strong foundation in Mathematics.

2. Helps to Crack Competitive Exams: The IIT JAM Mathematics course helps students to crack various competitive exams such as NET, GATE, and CSIR. These exams require a strong command of Mathematics. The IIT JAM Mathematics course helps students to achieve this command.

3. Boosts Job Opportunities: The IIT JAM Mathematics course helps students to boost their job opportunities. It opens up various career paths such as teaching, research, and data analysis. These are high-paying jobs that require a strong foundation in Mathematics.

4. Enhances Problem-Solving Abilities: The IIT JAM Mathematics course enhances the problem-solving abilities of students. It helps them to develop logical and analytical thinking. These skills are essential for success in various fields.

5. Builds Confidence: The IIT JAM Mathematics course builds the confidence of students. It prepares them for various challenges that they may face in their careers. It helps them to develop a positive attitude towards Mathematics.

In conclusion, the IIT JAM Mathematics course is an essential step towards achieving success in Mathematics. It offers comprehensive coverage of the Mathematics syllabus and helps students to crack various competitive exams. It also boosts job opportunities and enhances problem-solving abilities. Moreover, it builds the confidence of students and prepares them for various challenges. By taking the IIT JAM Mathematics course, students can achieve their goals and lead successful careers in Mathematics.

Mathematics for Competitive Exams FAQs

1. What is IIT JAM Mathematics?
Ans. IIT JAM Mathematics is an entrance exam conducted by Indian Institutes of Technology (IITs) for admission to M.Sc. (Two Years), Joint M.Sc.-Ph.D., M.Sc.-Ph.D. Dual Degree and other post-bachelor's degree programmes at IITs and Integrated Ph.D. programmes at IISc. It is a national level exam conducted once a year.
2. What is the eligibility criteria for IIT JAM Mathematics?
Ans. To be eligible for IIT JAM Mathematics, a candidate must have a Bachelor's degree with Mathematics as a subject for at least two years/four semesters. The minimum qualifying marks for General/OBC-NCL category candidates is 55% or 5.5/10 CGPA, and for SC/ST/PwD category candidates, it is 50% or 5/10 CGPA.
3. How to apply for IIT JAM Mathematics?
Ans. To apply for IIT JAM Mathematics, a candidate needs to register online on the official website of JAM. After registration, fill the application form, upload the required documents, and pay the application fee. The application fee for General/OBC-NCL category candidates is Rs. 1500, and for SC/ST/PwD category candidates, it is Rs. 750.
4. What is the exam pattern for IIT JAM Mathematics?
Ans. IIT JAM Mathematics is a computer-based test with a duration of three hours. It consists of 60 multiple choice questions carrying one or two marks each. The question paper is divided into three sections, namely Section A, Section B, and Section C. Section A has 10 questions of one mark each, Section B has 20 questions of two marks each, and Section C has 30 questions of one mark each.
5. What are the best books for IIT JAM Mathematics preparation?
Ans. Some of the best books for IIT JAM Mathematics preparation are Mathematical Analysis by S.C. Malik and Savita Arora, Linear Algebra by Hoffman and Kunze, Differential Equations by G.F. Simmons, and Calculus by Thomas and Finney. Candidates can also refer to previous year question papers and mock tests for better preparation.
Course Description
Mathematics for Competitive Exams for Mathematics 2024-2025 is part of Mathematics preparation. The notes and questions for Mathematics for Competitive Exams have been prepared according to the Mathematics exam syllabus. Information about Mathematics for Competitive Exams covers all important topics for Mathematics 2024-2025 Exam. Find important definitions, questions, notes,examples, exercises test series, mock tests and Previous year questions (PYQs) below for Mathematics for Competitive Exams.
Preparation for Mathematics for Competitive Exams in English is available as part of our Mathematics preparation & Mathematics for Competitive Exams in Hindi for Mathematics courses. Download more important topics related with Mathematics for Competitive Exams, notes, lectures and mock test series for Mathematics Exam by signing up for free.
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Divergent and Oscillatory Sequence , Sequences And Series Of Real Numbers -1 , Sequences And Series Of Real Numbers -3 , Subsequence of a Sequence & Complimentary Pair of Subsequences , Monotonic Sequence & Eventually Monotonic Sequence , Sequences And Series Of Real Numbers -2 , Sequence of Real Numbers & Range of Sequence , Series of Real Numbers- I , Sequences of Real Numbers- I , Cauchy's General Principle of Convergence of Sequence , Series of Real Numbers- II , Sequences And Series Of Real Numbers -4 , Cauchy's First theorem on Limits , Convergent , Sequences of Real Numbers- II , Limit Point of a Sequence & Bolzano-Weierstrass Theorem
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Mathematics for Competitive Exams
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