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Topic-wise Tests   Solved Examples for IIT JAM Mathematics
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Topic-wise Tests & Solved Examples for IIT JAM Mathematics

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Looking for comprehensive preparation material for IIT JAM Mathematics? Look no further than EduRev's course titled Topic-wise Tests & Solved Examples for IIT JAM Mathematics. This course provides topic-wise tests and solved examples specifically designed to help you excel in the IIT JAM Mathematics exam. With a focus on important topics and extensive practice, this course is a must-have for any aspiring IIT JAM Mathematics candidate. Don't miss out on this opportunity to boost your preparation and achieve success. Join EduRev's course today!
Looking for comprehensive preparation material for IIT JAM Mathematics? Look no further than Ed ... view more uRev's course titled Topic-wise Tests & Solved Examples for IIT JAM Mathematics. This course provides topic-wise tests and solved examples specifically designed to help you excel in the IIT JAM Mathematics exam. With a focus on important topics and extensive practice, this course is a must-have for any aspiring IIT JAM Mathematics candidate. Don't miss out on this opportunity to boost your preparation and achieve success. Join EduRev's course today!

Topic-wise Tests & Solved Examples for IIT JAM Mathematics Study Material

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Topic-wise Tests & Solved Examples for IIT JAM Mathematics Exam Pattern 2024-2025

Topic-wise Tests & Solved Examples for IIT JAM Mathematics



The IIT JAM Mathematics exam is a highly competitive examination that tests the mathematical aptitude of candidates aspiring to pursue a postgraduate degree in Mathematics. To excel in this exam, it is essential to have a thorough understanding of the exam pattern and practice solving a wide variety of questions. Here, we will discuss the exam pattern for the IIT JAM Mathematics and how topic-wise tests and solved examples can help you ace the exam.

Exam Pattern for Mathematics



The IIT JAM Mathematics exam consists of a total of 60 questions, which are divided into three sections - Section A, Section B, and Section C. The detailed exam pattern is as follows:

- Section A: This section consists of 10 multiple-choice questions, each carrying one or two marks. For each correct answer, one or two marks are awarded, and for each incorrect answer, 1/3 or 2/3 marks are deducted, depending on the question type.

- Section B: This section consists of 10 multiple-choice questions, each carrying two marks. There are no negative marks for incorrect answers in this section.

- Section C: This section consists of 40 multiple-choice questions, each carrying two marks. For each correct answer, two marks are awarded, and for each incorrect answer, 2/3 marks are deducted.

Importance of Topic-wise Tests



Topic-wise tests are an essential part of the preparation process for the IIT JAM Mathematics exam. These tests allow you to assess your understanding of individual topics and identify areas that require further practice. By solving topic-wise tests, you can gain confidence in your knowledge and improve your problem-solving skills. Moreover, topic-wise tests help you become familiar with the exam pattern and time management, which are crucial for achieving a high score.

Solved Examples for IIT JAM Mathematics



Solved examples play a crucial role in understanding the concepts and techniques required to solve problems in the IIT JAM Mathematics exam. These examples provide step-by-step solutions, allowing you to grasp the underlying principles and strategies. By studying solved examples, you can learn various approaches to solve a particular type of question, enabling you to handle similar problems with ease during the exam.

Benefits of Topic-wise Tests and Solved Examples



- Comprehensive Coverage: Topic-wise tests and solved examples cover all the important topics and concepts included in the IIT JAM Mathematics syllabus, ensuring a comprehensive preparation.

- Improved Problem-solving Skills: By solving a variety of questions through topic-wise tests and studying solved examples, you can enhance your problem-solving skills and become proficient in applying the learned concepts.

- Time Management: Regular practice with topic-wise tests helps you develop effective time management strategies, enabling you to complete the exam within the given time frame.

- Identifying Weak Areas: Topic-wise tests allow you to identify your weak areas and focus on them for improvement. Solved examples provide insights into common mistakes and misconceptions, helping you rectify your errors.

In conclusion, topic-wise tests and solved examples are invaluable resources for preparing for the IIT JAM Mathematics exam. By incorporating these resources into your study plan, you can enhance your understanding, problem-solving skills, and overall performance in the examination.
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Topic-wise Tests & Solved Examples for IIT JAM Mathematics Syllabus 2024-2025 PDF Download

Mathematics Topic-wise Tests & Solved Examples for IIT JAM Mathematics

Mathematics Vector Calculus
- Introduction to vectors
- Vector operations: addition, subtraction, scalar multiplication
- Dot product and cross product
- Vector functions and their derivatives
- Line integrals and surface integrals
- Green's theorem, Gauss's theorem, and Stokes' theorem

Mathematics Sequences and Series of Real Numbers
- Arithmetic sequences and series
- Geometric sequences and series
- Convergence and divergence of sequences
- Convergence and divergence of series
- Tests for convergence: comparison test, ratio test, root test
- Power series and Taylor series

Mathematics Matrix
- Introduction to matrices
- Matrix operations: addition, subtraction, scalar multiplication, matrix multiplication
- Determinants and their properties
- Inverse of a matrix
- Systems of linear equations and matrix equations
- Eigenvalues and eigenvectors

Mathematics Linear Transform
- Definition and properties of linear transformations
- Matrix representation of linear transformations
- Kernel and image of a linear transformation
- Change of basis and similarity transformations
- Diagonalization and Jordan form

Mathematics Group Theory
- Definition and properties of groups
- Subgroups, cosets, and quotient groups
- Group homomorphisms and isomorphisms
- Cayley's theorem and permutation groups
- Group actions and orbit-stabilizer theorem
- Solvable and simple groups

Mathematics Differential Equation
- First-order ordinary differential equations
- Second-order ordinary differential equations
- Higher-order ordinary differential equations
- Systems of ordinary differential equations
- Laplace transforms and their applications
- Partial differential equations

Mathematics Integrals
- Definite integrals and their properties
- Indefinite integrals and antiderivatives
- Techniques of integration: substitution, integration by parts, partial fractions
- Improper integrals
- Applications of integration: area, volume, work, arc length

Mathematics Real Analysis
- Real numbers and their properties
- Sequences and limits of real numbers
- Continuity and differentiability of real functions
- Mean value theorem and intermediate value theorem
- Riemann integration and fundamental theorem of calculus
- Metric spaces and compactness

Mathematics Indeterminate Form
- Evaluation of limits involving indeterminate forms
- L'Hospital's rule and its applications
- Infinite series and their convergence
- Power series and their convergence
- Taylor and Maclaurin series

Mathematics Linear Algebra
- Vector spaces and subspaces
- Basis and dimension of a vector space
- Linear independence and span
- Linear transformations and their matrix representations
- Eigenvalues and eigenvectors
- Inner product spaces and orthogonal projections

Mathematics Permutations and Combinations
- Permutations and combinations: counting principles
- Binomial coefficients and Pascal's triangle
- Multinomial coefficients
- Permutations with restrictions
- Combinations with repetitions
- Generating functions

Mathematics Trigonometric Functions and Identities
- Trigonometric functions: sine, cosine, tangent, etc.
- Trigonometric identities: Pythagorean identities, sum and difference identities, double angle identities
- Inverse trigonometric functions
- Trigonometric equations and their solutions
- Trigonometric substitutions in integrals

Mathematics Probability and Statistics
- Probability: basic concepts, sample space, events
- Conditional probability and independence
- Random variables and probability distributions
- Discrete and continuous probability distributions
- Expected value and variance
- Statistical inference: estimation and hypothesis testing

Mathematics Binomial Theorem
- Binomial coefficients and Pascal's triangle
- Expansion of binomial expressions
- Applications of binomial theorem
- Binomial probability distributions
- Binomial series and its convergence

Mathematics Dimensional Geometry
- Coordinate systems in two and three dimensions
- Equations of lines and planes
- Distance and midpoint formulas
- Intersection of lines and planes
- Vectors in three-dimensional space
- Dot product and cross product in three-dimensional space

Mathematics Integral Calculus
- Definite integrals and their properties
- Indefinite integrals and antiderivatives
- Techniques of integration: substitution, integration by parts, partial fractions
- Improper integrals
- Applications of integration: area, volume, work, arc length

Mathematics Functions of One, Two or Three Real Variables
- Limits and continuity of functions
- Differentiation of functions
- Applications of derivatives: optimization, curve sketching
- Integration of functions
- Multiple integrals and their applications
- Partial derivatives and their applications

This course is helpful for the following exams: IIT JAM, Mathematics

How to Prepare Topic-wise Tests & Solved Examples for IIT JAM Mathematics?

How to Prepare Topic-wise Tests & Solved Examples for IIT JAM Mathematics



Preparing for the IIT JAM Mathematics exam can be a daunting task, but with the right approach and resources, it can become much easier. One effective method to improve your understanding of the topics and enhance your problem-solving skills is to practice topic-wise tests and solved examples. Here are some steps to help you prepare for these tests and make the most of your study time.

1. Understand the Syllabus



Before you start preparing for the topic-wise tests, it is crucial to have a clear understanding of the syllabus. Familiarize yourself with the topics that will be covered in the IIT JAM Mathematics exam. This will help you identify the areas where you need more practice and focus your efforts accordingly.

2. Breakdown the Topics



Once you are familiar with the syllabus, break down each topic into subtopics. This will allow you to create a study plan and allocate time for each subtopic based on its weightage in the exam. Breaking down the topics will also help you identify the areas where you are weak and need to focus more.

3. Gather Study Material



To prepare for the topic-wise tests, gather study material such as textbooks, reference books, and online resources that cover each subtopic comprehensively. Make sure to choose reliable sources that provide detailed explanations and solved examples.

4. Solve Solved Examples



Start by solving the solved examples provided in your study material. This will help you understand the concepts and their application in different types of problems. Pay close attention to the steps and techniques used to solve the examples, as they will guide you in solving similar problems in the topic-wise tests.

5. Practice Topic-wise Tests



After solving the solved examples, move on to practicing topic-wise tests. These tests are designed to assess your understanding of the topics and your ability to apply the concepts to solve problems. Start with easier questions and gradually increase the difficulty level as you gain confidence.

6. Analyze and Learn from Mistakes



While practicing topic-wise tests, it is essential to analyze your performance and learn from your mistakes. Identify the areas where you are making errors and revisit the related concepts. This will help you strengthen your understanding and improve your problem-solving skills.

7. Time Management



During the topic-wise tests, pay attention to your time management skills. The IIT JAM Mathematics exam is time-bound, so it is crucial to practice solving problems within the given time limit. Use a stopwatch or timer to simulate the exam conditions and improve your speed and accuracy.

8. Revise Regularly



Lastly, make sure to revise the topics regularly. This will help you retain the concepts and formulas and reinforce your understanding. Schedule regular revision sessions in your study plan to ensure that you are well-prepared for the IIT JAM Mathematics exam.

By following these steps and practicing topic-wise tests and solved examples, you can strengthen your knowledge and improve your problem-solving skills for the IIT JAM Mathematics exam. Remember to stay focused, dedicated, and consistent in your preparation to achieve success. Good luck!

Importance of Topic-wise Tests & Solved Examples for IIT JAM Mathematics

Importance of Topic-wise Tests & Solved Examples for IIT JAM Mathematics Course

Preparing for the IIT JAM Mathematics exam can be a challenging task, considering the vast syllabus and the level of competition. To excel in this exam, it is crucial to have a strong understanding of each topic and be well-versed in solving mathematical problems. One effective way to achieve this is by utilizing topic-wise tests and solved examples as part of the IIT JAM Mathematics course offered by EduRev.

Key Point 1: Comprehensive Coverage of Syllabus
The IIT JAM Mathematics course by EduRev includes topic-wise tests and solved examples that cover the entire syllabus in a comprehensive manner. Each topic is broken down into smaller sections, allowing students to focus on specific areas and thoroughly grasp the concepts. This ensures that students are well-prepared for every topic that may be tested in the exam.

Key Point 2: Assessing Knowledge and Identifying Weak Areas
Topic-wise tests are an excellent tool for assessing one's knowledge and understanding of a particular topic. By attempting these tests, students can determine their level of preparedness and identify their weak areas. This enables them to allocate more time and effort to improve their understanding of these topics, ensuring better performance in the final exam.

Key Point 3: Enhancing Problem-Solving Skills
Solved examples play a crucial role in enhancing problem-solving skills. The IIT JAM Mathematics course by EduRev includes a wide range of solved examples for each topic, demonstrating the step-by-step approach to solving complex mathematical problems. Students can learn various problem-solving techniques and strategies by studying these examples, which can be applied to similar questions in the exam.

Key Point 4: Building Speed and Accuracy
One of the key challenges in the IIT JAM Mathematics exam is the limited time available to solve a large number of questions. Topic-wise tests help students improve their speed and accuracy by providing practice in solving questions within a specific time frame. Regularly attempting these tests enables students to develop a quicker and more efficient approach to solving mathematical problems, thereby increasing their chances of scoring well in the exam.

Key Point 5: Confidence Boosting
By regularly practicing topic-wise tests and solving examples, students gain confidence in their ability to tackle any question that may come their way in the IIT JAM Mathematics exam. The familiarity with different types of problems and the expertise gained through practice instills a sense of confidence, reducing test anxiety and allowing students to perform to the best of their abilities.

In conclusion, topic-wise tests and solved examples are essential components of the IIT JAM Mathematics course offered by EduRev. These tools provide comprehensive coverage of the syllabus, assess knowledge, enhance problem-solving skills, build speed and accuracy, and boost confidence. By utilizing these resources effectively, students can maximize their chances of success in the IIT JAM Mathematics exam.

Topic-wise Tests & Solved Examples for IIT JAM Mathematics FAQs

1. What is the IIT JAM Mathematics exam?
Ans. The IIT JAM (Joint Admission Test for Masters) is an entrance exam conducted for admission to various postgraduate programs, including Mathematics, at the Indian Institutes of Technology (IITs) and other participating institutes.
2. What is the eligibility criteria for IIT JAM Mathematics?
Ans. To be eligible for the IIT JAM Mathematics exam, candidates should have a bachelor's degree with Mathematics as a subject for at least two years or four semesters.
3. How can I apply for the IIT JAM Mathematics exam?
Ans. Candidates can apply for the IIT JAM Mathematics exam through the official website of the conducting authority. The application process is usually conducted online, and candidates need to fill in the required details, upload documents, and pay the application fee.
4. What is the exam pattern for IIT JAM Mathematics?
Ans. The IIT JAM Mathematics exam is a computer-based test with a duration of 3 hours. It consists of multiple-choice questions, multiple-select questions, and numerical answer type questions. The total marks for the exam are 100.
5. Can you provide some tips for preparing for the IIT JAM Mathematics exam?
Ans. Some tips for preparing for the IIT JAM Mathematics exam include: - Understand the exam pattern and syllabus thoroughly. - Practice solving previous year question papers and sample papers. - Focus on strengthening your problem-solving and analytical skills. - Make a study schedule and stick to it. - Seek guidance from experienced faculty or join a reputable coaching institute. - Revise regularly and solve as many practice questions as possible.
6. Are there any recommended books for preparing for the IIT JAM Mathematics exam?
Ans. Some recommended books for preparing for the IIT JAM Mathematics exam are: - "Mathematical Analysis" by S.C. Malik and Savita Arora - "Linear Algebra" by Hoffman and Kunze - "Abstract Algebra" by Dummit and Foote - "Real Analysis" by H.L. Royden - "Ordinary Differential Equations" by M.D. Raisinghania
7. What is the cutoff score for the IIT JAM Mathematics exam?
Ans. The cutoff score for the IIT JAM Mathematics exam varies from year to year and institute to institute. It depends on various factors such as the number of candidates, difficulty level of the exam, and availability of seats. Candidates are advised to check the official website of the respective institutes for the cutoff scores.
8. Can I get admission to IITs only through the IIT JAM Mathematics exam?
Ans. No, the IIT JAM Mathematics exam is one of the criteria for admission to the postgraduate programs at IITs. Other factors, such as the candidate's performance in the exam, availability of seats, and fulfillment of eligibility criteria, also play a role in the admission process.
9. Is there any negative marking in the IIT JAM Mathematics exam?
Ans. Yes, there is negative marking in the IIT JAM Mathematics exam. For the multiple-choice questions, 1/3 marks are deducted for each incorrect answer, while 2/3 marks are deducted for each incorrect answer in the multiple-select questions.
10. Can I use a calculator during the IIT JAM Mathematics exam?
Ans. No, the use of a calculator is not allowed during the IIT JAM Mathematics exam. Candidates are expected to perform all calculations manually.
11. How can I download the admit card for the IIT JAM Mathematics exam?
Ans. Candidates can download the admit card for the IIT JAM Mathematics exam from the official website of the conducting authority. They need to login using their credentials and follow the instructions to download the admit card.
12. Can I request a change in my exam center for the IIT JAM Mathematics exam?
Ans. No, candidates cannot request a change in their exam center for the IIT JAM Mathematics exam once the application process is complete. The exam center allotted to the candidate is final and cannot be changed.
13. Is there any age limit for appearing in the IIT JAM Mathematics exam?
Ans. No, there is no age limit for appearing in the IIT JAM Mathematics exam. Candidates of any age can apply for the exam as long as they meet the eligibility criteria.
14. How can I check my IIT JAM Mathematics exam result?
Ans. The IIT JAM Mathematics exam result is usually declared on the official website of the conducting authority. Candidates can check their result by logging in using their credentials and following the instructions provided.
15. What are the career prospects after qualifying in the IIT JAM Mathematics exam?
Ans. After qualifying in the IIT JAM Mathematics exam, candidates can pursue postgraduate programs in Mathematics at IITs and other participating institutes. This opens up career opportunities in research, teaching, data analysis, banking, finance, and various other sectors where strong mathematical skills are required.
Attention Mathematics Students!
To make sure you are not studying endlessly, EduRev has designed Mathematics study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mathematics.
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Best Coaching for Topic-wise Tests & Solved Examples for IIT JAM Mathematics

When it comes to preparing for the IIT JAM Mathematics exam, finding the best coaching and study material is crucial. That's where EduRev, the leading online education platform, comes in. EduRev offers free online coaching for IIT JAM Mathematics, providing students with access to a vast array of study materials and resources.

One of the standout features of EduRev's IIT JAM Mathematics course is the availability of topic-wise tests and solved examples. These tests allow students to assess their understanding of specific chapters and topics, enabling them to identify areas that require further improvement. Additionally, the solved examples provide step-by-step solutions to complex mathematical problems, helping students enhance their problem-solving skills.

EduRev also offers a comprehensive study guide for IIT JAM Mathematics, which includes a summary of important chapters and concepts. This study guide is available for free download in PDF format, allowing students to access it anytime and anywhere. Furthermore, EduRev provides practice tests and previous year papers for IIT JAM Mathematics, enabling students to familiarize themselves with the exam pattern and assess their level of preparedness.

In addition to the study materials, EduRev offers online coaching for IIT JAM Mathematics through video lectures. These lectures cover the entire syllabus and provide valuable tips and tricks to tackle challenging questions. The online coaching also includes mock tests, which simulate the actual exam environment and help students gauge their performance.

With EduRev's IIT JAM Mathematics online resources, students can effectively prepare for the exam at their own pace and convenience. Whether it's through the study materials, practice questions, or video lectures, EduRev ensures that students have all the necessary tools to succeed in the IIT JAM Mathematics exam. So, visit EduRev's website or download their app today to kickstart your IIT JAM Mathematics preparation journey.

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Course Description
Topic-wise Tests & Solved Examples for IIT JAM Mathematics for Mathematics 2024-2025 is part of Mathematics preparation. The notes and questions for Topic-wise Tests & Solved Examples for IIT JAM Mathematics have been prepared according to the Mathematics exam syllabus. Information about Topic-wise Tests & Solved Examples for IIT JAM Mathematics 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 Topic-wise Tests & Solved Examples for IIT JAM Mathematics.
Preparation for Topic-wise Tests & Solved Examples for IIT JAM Mathematics in English is available as part of our Mathematics preparation & Topic-wise Tests & Solved Examples for IIT JAM Mathematics in Hindi for Mathematics courses. Download more important topics related with Topic-wise Tests & Solved Examples for IIT JAM Mathematics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Course Speciality
- This course offers Practice Tests for all the important topics for IIT JAM Mathematics
- All the Practice Tests are in the form of MCQs (Multiple Choice Questions)
- The course also provides "Solved Examples" for better understanding of the topics.
Full Syllabus, Lectures & Tests to study Topic-wise Tests & Solved Examples for IIT JAM Mathematics - Mathematics | Best Strategy to prepare for Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Free Course for Mathematics Exam
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Course Speciality

- This course offers Practice Tests for all the important topics for IIT JAM Mathematics
- All the Practice Tests are in the form of MCQs (Multiple Choice Questions)
- The course also provides "Solved Examples" for better understanding of the topics.

Course Description by EduRev Robots

Full Syllabus, Lectures & Tests to study Topic-wise Tests & Solved Examples for IIT JAM Mathematics - Mathematics | Best Strategy to prepare for Topic-wise Tests & Solved Examples for IIT JAM Mathematics | Free Course for Mathematics Exam