## Topic Weightage in CSIR NET Mathematics

The candidates must acknowledge the CSIR NET Mathematical Science topic-wise weightage to formulate their study plan accordingly. The table below summarizes the topic-wise weightage for the CSIR NET Mathematics Exam. The questions on these topics contain the objective questions in the CSIR NET Exam.

Subject(Mathematics) | Marks Range (max.~min.) | No.of question (max.~min) |
---|---|---|

UNIT-1 | ||

Real Analysis | 45.25 ~ 70.25 | 15 ~ 20 |

Linear Algebra | 41.25 ~ 75.00 | 15 ~ 20 |

UNIT-2 | ||

Abstract Algebra | 25.00 ~ 45.25 | 6 ~ 8 |

Number Theory | 3 ~ 7.75 | 1 ~ 2 |

Complex Analysis | 25.00 ~34.50 | 5 ~ 8 |

Topology | 3.00 ~ 7.75 | 1 ~ 2 |

UNIT-3 | ||

Ordinary Differential Equation | 15.50 ~ 25.00 | 4 ~ 7 |

Partial differential Equation(PDE) | 20.20 ~ 25.00 | 4 ~ 7 |

Integral Equation | 3.00 ~ 12.50 | 1 ~ 3 |

Calculus of Variation(cov) | 3.00 ~ 7.75 | 1 ~ 2 |

Dynamical System | 0 ~ 7.75 | 0 ~ 2 |

Classical Mechanics | 0 ~ 7.75 | 0 ~ 2 |

UNIT-4 | ||

Markov chain | 3 ~ 12.50 | 1 ~ 3 |

Operation Research(LPP) | 0 ~ 7.75 | 0 ~ 2 |

## Syllabus of CSIR NET Mathematics

To prepare well for the examination, the candidates must analyze the CSIR NET Mathematics Syllabus well to ensure that they prepare every concept. The table below contains all the topics of the mathematics syllabus of CSIR NET-

- Analysis
- Linear Algebra
- Complex Analysis
- Algebra
- Ordinary Differential Equations (ODEs)
- Partial Differential Equations (PDEs)
- Numerical Analysis
- Calculus of Variations
- Linear Integral Equations
- Classical Mechanics
- Descriptive Statistics, Exploratory Data Analysis

## Best Books of CSIR NET Mathematical Science

For the best preparation to excel in the exam, candidates must get the best resource for preparation. Check the Best Books for CSIR NET Mathematics preparation in the table below that have helped a lot of candidates in getting through the exam:

Best Books for CSIR NET Mathematical Science | |

CSIR-UGC NET/JRF/SLET Mathematical Sciences (Paper I & II) | Dr A. Kumar |

CSIR-UGC NET/JRF/SET Mathematical Sciences | Alok Kumar (Upkar) |

Basic Course in Real Analysis | S. Kumaresan |

Integral Equations & Boundary Value Problems | Dr M. D. Raisinghania |

## CSIR NET Mathematics Preparation Tips

As we have discussed, the importance of a proper study plan is not just to have conceptual clarification but also to complete the syllabus on time with the revision. These plans can result efficiently and take you near your end goal.

**Collect the Resources:**Your most valuable asset will be your resources throughout your preparation, and that resource may now be anything that helps you get closer to your objective. The notes you take in class or the many books you read along the procedure must be kept up to date.**Mark Your Doubts:**Highlighting the sections that are significant to you and marking the areas where you have questions will give you a clear picture of your preparation and the directions you still need to work on.**Previous Year Question Papers Are Key:**To understand the exam pattern and the type of questions you might have to face in the exam, digging into the CSIR NET question papers from the previous years will be a great help.**Test Your Knowledge -**To understand how far you have come, testing your knowledge is the main task. Point out the random questions from the subjects and try to solve them on your own. Honesty is the key to follow here.**Keep Yourself Updated -**It might be undeniable, but it is an essential point to consider. Sometimes we get too involved in the study pattern we created earlier that we tend to avoid the updates. Any stone unturned can rock your boat.**Do Not Get Distracted -**There are a lot of talks regarding your study patterns and the amount of time that should be given to crack the exam. You don't need to scratch your head getting confused by the different preparation ideas. Following one formulated plan can give the sweet taste of the fruit you have been planning for.**The best way to reach your goal is to practice as much as possible:**the more you practice, the greater your comprehension develops. So, to prepare for the CSIR NET mock tests, use Byju's Exam Prep Application.**Always keep an optimistic attitude:**Maintain a cheerful attitude during life's ups and downs. It is necessary for every element of life. Whatever hurdles you face, hard work, strong energy, and a positive mindset will lead to great success.**Concentrate on Significant Topics:**Make a list of important topics, extensively research them, and practice many questions.

## CSIR NET Mathematics Exam Pattern

The National Testing Agency (NTA) administers the CSIR NET Mathematics to recruit JRF or Assistant professors in colleges and CSIR laboratories. The exam is divided into three sections, each with 120 questions. Section A will assess candidates' general ability, while sections B and C will focus on subject-specific questions. The candidates will secure marks out of 200. Before we get into the CSIR NET maths preparation tips and study plan, we must understand the exam's weight. A single paper with multiple-choice questions comprises the CSIR NET Mathematical Science exam. The exam has a maximum score of 200 marks and an allotted time of 180 minutes. Each component of the paper will assess the candidate's knowledge and grasp of the subject. The following table shows the CSIR NET exam pattern for Mathematics:

Mathematical Science | Total No. of questions | Max question to attempt | Marks for a correct answer | Negative marking |

Part A | 20 | 15 | 2 | 0.5 |

Part B | 40 | 25 | 3 | 0.75 |

Part C | 60 | 20 | 4.75 | 0 |

Total | 120 | 60 | 200 | - |

## Study Plan for CSIR NET Mathematics

You should first become familiar with the maths syllabus. Then you must create and keep to a timetable that effectively organizes your time and the sections that must be finished. You may find and practice several CSIR NET mock tests and previous year's question papers online to assist you in passing the exam. Below is a detailed study plan for CSIR NET Mathematical Science Preparation.

**The syllabus should be completely understood:**Instead of knowing the entire CSIR NET syllabus for Mathematics, concentrate on understanding it. Recognize the subjects that must be covered in papers. It will help you create more effective exam preparation strategies. Make a list of both your weak and strong subjects. You should know where to spend the most time and effort so you can easily prepare for anything significant. This problem can be solved by reviewing the previous year's study materials and exam papers.**Examine Question Papers from Previous Years:**You should understand the questions that will be asked before sitting the CSIR NET Mathematical Science exam. For this, you should continue to practice CSIR NET Mathematics Previous Year Papers. This will help in the strengthening of concepts and the reduction of time spent on exam day understanding questions. Learning the methods and twists of questions before the exam will help you avoid making silly blunders. By reviewing earlier articles, you may better assess the wording of issues and clarify your concepts. The most effective and reliable source for exam preparation is the previous year's papers.**Understanding the exam pattern:**After you've reviewed the syllabus, you'll know what topics you need to study. It would be best if you first comprehended the CSIR NET Exam Pattern to determine the questions that will be asked throughout the examination. After you've grasped this, you'll clearly understand how to prepare for the exam.**The Note's Compilation:**Compiling notes and revising them several times is one of the most effective strategies for having productive exam preparation. Curating your notes is something you should not be afraid to do. Highlight the relevant points in the reference books and write them down somewhere. This practice will also aid in the interrelationship of different syllabus topics, making them easier to understand and remember.**Recognize your advantages and disadvantages:**Recognize your levels of focus and attempt to enhance them over time. Know your weak areas and concentrate on improving them, as well as your strong areas, so that you can include them in your approach. You'll also need to determine which elements of the syllabus require the greatest attention and which can be completed in less time. Then you may schedule the rest of your graph based on how much time each topic takes. You will save a significant amount of time as a result of this.**Making a Proper Study Plan:**Passing the CSIR NET Mathematical Science exam without a proper study plan is extremely difficult. According to statistics, most students who pass the CSIR NET exam use a note-taking technique in which they take their notes to grasp the subject better. It is important to have a clear understanding of the plan that we aim to implement. Unless you are fully committed to studying for the exam, a month is a concise time to prepare. So roll up your sleeves and work on a study plan this time.

Days | Unit 1 | Unit 2 | Unit 3 | Unit 4 |

Day 1-5 | Elementary set theory, finite, countable, and uncountable sets. | Algebra of complex numbers, the complex plane, polynomials, power series. | Linear integral equation of the first and second kind of Fredholm and Volterra type. | Hazard function and failure rates, censoring and life testing, series and parallel systems. |

Day 5-10 | Archimedean property, Real number system as a complete ordered field, supremum, infimum. | Transcendental functions such as exponential, trigonometric, and hyperbolic functions | Characteristic numbers and eigenfunctions, resolvent kernel. | Tests of hypotheses, Gauss-Markov models, estimability of a parameter. |

Day 10-15 | Bolzano Weierstrass theorem, Heine Borel theorem. | Cauchy's theorem, Liouville's theorem, Maximum modulus principle. | Variation of a functional, Euler-Lagrange equation, Necessary and sufficient conditions for extrema. | Methods of estimation, properties of estimators, confidence intervals. |

Day 15-20 | Continuity, uniform continuity, differentiability, mean value theorem. | Maximum modulus principle, Laurent series Schwarz lemma, Mobius transformations. PDEs. | Variational methods for boundary value problems in ordinary and partial differential equations. | Confidence intervals, best linear unbiased estimators, tests for linear hypotheses. |

Day 20-25 | Sequences and series of functions, uniform convergence. | ODEs, Calculus of residues. Conformal mappings, Taylor series, Open mapping theorem. | Lagrange and Charpit methods for solving first-order PDEs, Cauchy problem for first-order PDEs. | Simple and multiple linear regression, Distribution of quadratic forms, Analysis of variance and covariance. |

Day 20-25 | Functions of several variables, Normed Linear Spaces. | Subspace, product topology, basis, dense sets, compactness, connectedness, and separation axioms. | Descriptive statistics, independent events, exploratory, discrete probability. | Data Reduction Techniques: Simple random, stratified, and systematic sampling. |

## Previous Year CSIR NET Mathematics Analysis

The candidates must analyze the mathematical science paper to understand the sections and their difficulty level. This will help them to formulate a better preparation strategy for the CSIR NET Mathematical Science Exam. The table given below contains the CSIR NET mathematics paper analysis for different sections-

Part Name | Total MCQs | Total MCQs to be Attempted | Difficulty Level |
---|---|---|---|

Part A | 20 | 15 | Moderate |

Part B | 40 | 25 | Moderate to Difficult |

Part C | 60 | 20 | Moderate to Difficult |

Total | 120 | 60 | Moderate to Difficult |

## Questions Asked in CSIR NET Mathematics

The candidates can go through the previous year's mathematical science question paper to analyze the exam's question and pattern. The question paper will also help the candidates to analyze the important units and topics for the CSIR NET mathematics exam. The table below contains the mathematics previous year's question paper PDF-

CSIR NET Mathematical Science Previous Year Question Paper PDF | ||

CSIR NET Mathematical Science Paper | Question Paper PDF | Answers Key PDF |

CSIR NET Mathematical Science exam 2019 | Mathematical Science Question Paper PDF | Mathematical Science Answer Key PDF |

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