P Kalika

A Site for Higher Mathematics


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TIFR Graduate School Admissions (GS-2021)

Tata Institute of Fundamental Research PhD & Int. PhD Admissions (GS-2021)

GS2021: Selection Process for Mathematics

Selection process for admission in 2021 to the various programs in Mathematics at the TIFR centers – namely, the PhD and Integrated PhD programs at TIFR, Mumbai as well as the programs conducted by TIFR CAM, Bengaluru and ICTS, Bengaluru – will be held in two stages.
Stage I. A nation-wide test will be conducted in various centers on March 7, 2021. For the PhD and Integrated PhD programs at the Mumbai Center, this test will comprise the entirety of Stage I of the evaluation process. For more precise details about Stage I of the selection process at other centers (TIFR CAM, Bengaluru, and ICTS, Bengaluru) we refer you to the websites of those centers.
The nation-wide test on March 7 will be an objective test of three hours duration, with 20 multiple choice questions and 20 true/false questions. The score in this test will serve as qualification marks for a student to progress to the second step of the evaluation process. The cut-off marks for a particular program will be decided by the TIFR center handling that program. Additionally, some or all of the centers may consider the score in Stage I (in addition to the score in Stage II) towards making the final selection for the graduate program in 2021.
Stage II. The second stage of the selection process varies according to the program and the center. More details about this stage will be provided at a later date

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CSIR-NET (Maths) Topic-wise & Year-wise Solutions

Handwritten Solutions of CSIR-NET Mathematics Prev. Yr. Que. Papers (Upto November-2020) is available here. Very very helpful in preparation of CSIR-NET, SET, GATE, PSC, …. and other equivalent exams. Self preparation materials(No need of any coaching).

Note: CSIR NET(JRF) Exam of June-2020 has been done in Nov-2020 and Exam for Dec-2020 and June-2021 still not held and also no any information out.

  1. Sol. of Linear algebra(Upto Nov-2020, Pages:205): Download PDF
  2. Sol. of Abstract algebra(Upto Nov-2020, Pages:107): Download PDF
  3. Sol. of Real Analysis(Upto Nov-2020, Pages:210): Download PDF
  4. Sol. of Complex Analysis(Upto June-2020, Pages:118): Download PDF
  5. Sol. of NT, NA, LPP & DS (Upto 2021, Pages:118)Download PDF
  6. Sol. of ODE, PDE, IE & COV(Upto Nov 2020, Pages:205): Download PDF
  7. Combined Solutions (All above Sr. No. 1 – 6): Click Here

CSIR-NET Year wise Complete Solution

  1. CSIR-NET 26 Nov 2020: Download Here
  2. CSIR-NET Dec-2019: Download Here
  3. CSIR-NET June-2019: Download PDF
  4. CSIR-NET Dec-2018: Download PDF
  5. CSIR-NET June-2018: Download PDF
  6. Combined Solutions of 2017D, 2018J, 2018D, 2019J, 2019D & 2020Nov Download Here
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Learn LaTeX with P Kalika (From very beginning)

An initiative towards learning. Don’t worry, no need of any programming skill. We have started from very beginning and for practice purpose we also uploaded some symbols and content writing. You may practice them.

Recorded videos for your practice purpose: Click here

Contents for “LaTeX Learning”

Bemar(Presentation) in LaTeXDownload .tex File & Download PDF
LaTeX Practice-1LaTeX Short Math Guide Download
LaTeX Practice-2LaTeX_Symbols Download
LaTeX Practice-3Math into LaTeX Download
LaTeX Practice-4Latex All SymbolsDownload
DescriptionDownload .Tex File
LaTeX Workshop (Day-1):Download File (tex & PDF)
LaTeX Workshop (Day-2):Download .tex file and Download PDF
LaTeX Workshop (Day-3):Download .tex File and Download PDF

Videos of LaTeX Learning

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UGC/AICTE Provided Important links for Self-study/e-Learning

Some of the useful links for Self-study/e-Learnings. Using contents provided by these organizations, you may prepare for your academic exams(Diploma, Undergraduate and Postgraduate) as well as for entrance and scholarship exams like CSIR-NET, UGC-NET, JAM, PSC, SET, CUCET, Ph.D. Entrance, …etc

  1. e-PG Pathshala (https://epgp.inflibnet.ac.in/)
    • Contents/Course: 70 subjects across all disciplines of social sciences, arts, fine arts and humanities, natural & mathematical sciences.
    • Format:  e-text more than 20k and videos more than 19k available here.
  2. UP-PG MOOCS (http://ugcmoocs.inflibnet.ac.in/ugcmoocs/moocs_courses.php)
    • Contents/Course: UG Course(222) and PG Course(86)
  3. SWAYAM (https://www.swayam.gov.in/)
    • Contents/Course: From School level to PG-level, Can be accessed by anyone, anywhere at any time.
  4. Consortium For Education Communication (CEC) (http://cec.nic.in/cec/)
    • Contents/Course: e-Contents available for more than 85 UG courses and more than 24k e-content modules available. Visit Youtube Channel.
  5. National Digital Library of India (https://ndl.iitkgp.ac.in/)
    • Students/readers may get contents online in all languages, which are available in different libraries of India.
  6. Shodh Ganga (https://shodhganga.inflibnet.ac.in/)
    • ShodhGanga@INFLIBNET Centre provides a platform for research students to deposit their PhD theses and make it available to the entire scholarly community in open access.
  7. e-Shodh Sindhu (https://ess.inflibnet.ac.in/)
    • e-Shodh Sindhu provides current as well as archival access to more than 15,000 core and peer-reviewed journals and a number of bibliographic, citation, and factual databases in different disciplines from a large number of publishers and aggregators.
  8. VIDWAN (https://vidwan.inflibnet.ac.in/)
    • This website is for faculty. VIDWAN is the premier database of profiles of scientists/researchers and other faculty members working at leading academic institutions and other R & D organization involved in teaching and research in India.
  9. SWAYAM PRABHA (https://swayamprabha.gov.in/)
    • SWAYAM PRABHA is a group of 32 DTH channels devoted to telecasting of high-quality educational programs on a 24*7 basis using the GSAT-15 satellite. The contents are provided by NPTEL, IITs, UGC, CEC, IGNOU, NCERT, and NIOS.

Important Links:


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Youtube Videos on CSIR-NET/GATE

Video Lectures and Video Series for CSIR-NET/GATE on Important Topics, Marks Distribution, Cut off Set up, Preparation Strategy, Fast Revision, …etc.

Free Lectures Watch Here: https://www.youtube.com/playlist?list=PLDu0JgProGz55UHLDu7Y1xLd-uWSGxSPQ

Online Classes Started Now, Check here:

Numerical Analysis Free Crash Course for NET, GATE & SET.


Number Theory Crash Course for NET, GATE & SET.


(Fast and Complete Revision of Dynamical System)

(List of Important Topics and their weightage in CSIR-NET exam )

(Where & how Download PDF Que. Papers of  CSIR-NET, GATE, BHU, …etc)

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CUCET-2020 admission to UG, PG and PhD

CUCET released their notifications for admission to academic session 2020-2021 to UG, PG and PhD Programs in Central Universities. Check here List of all participating Universities
Registration Start: March 16, 2020
Last Date: May 23, 2020, Again Extended till June 06, 2020)
Exam date: Mentioned below in Poster.
Result date: Notify Later.
Online Application: Apply here
How to Apply: Click here
For More Details: Visit here

CUCET MSc-2020 Mathematics Solution: Download Here

CUCET PhD-2019 Mathematics Solution: Download Here

Sample Que. Paper Downloads(PDF Download)
UG Math, PG Math & Statistics, PG Math, PhD Math, Phd Statistics

Participating Institutions

  1. National Institute of Technology Tiruchirappalli (NIT-T)
  2. Central University of Andhra Pradesh
  3. Assam University
  4. Central University of Gujarat
  5. Central University of Haryana
  6. Central University of Jammu
  7. Central University of Jharkhand
  8. Central University of Karnataka
  9. Central University of Kashmir
  10. Central University of Kerala
  11. Central University of Odisha
  12. Central University of Punjab
  13. Central University of Rajasthan
  14. Central University of South Bihar
  15. Central University of Tamil Nadu
  16. Mahatma Gandhi Central University, Bihar

State University

  1. Baba Ghulam Shah Badshah University, Rajouri
  2. Bengaluru Dr B R Ambedkar School of Economics (BASE)
  3. Khallikote University, Berhampur
  4. Sardar Patel University of Police, Security & Criminal Justice, Jodhpur
88080215_2617442385186428_7020025445747785728_o

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Karnataka State Eligibility Test (KSET)-2020 For Assistant Professor

Full Notification: Download Here
Important Dates

Last Date for Application : March 04, 2020
Last Date with late fine: March 09, 2020
Exam Date: April 12,  2020 
Detail Eligibility Criteria : Click Here
Old year Question Paper :
Syllabus of MH-SET-2020: Download Syllabus
More Details about Karnataka-SET 2020 : Visit Here

Note: The candidates must read the conditions of eligibility carefully and must satisfy
themselves regarding their eligibility for the test before filling the online application form.
Candidate who became eligible in Previous KSETs are not eligible to apply again in the same subject.

Note: For study materials(Only Mathematics) related to Karnataka-SET, contact us on maths.whisperer@gmail.com. or Visit here.


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CSIR-NET Exam Tricks for Qualifying

Exam Tips:
Try to solve all previous year questions of CSIR-NET and GATE exam. By doing this, you will get an idea about the important and scoring topics of CSIR-NET. Also during the Study of any study materials, prepare your own short/quick revision notes(of 3 or 4pages) on each topic, So that at the time of examination you may do a quick revision.

Now, stop reading books and start solving problems of previous year CSIR-NET exams. Also, analyze yourself that in which topics you can gain marks easily, and make them stronger.

Not only read theory & solve problems but also make a strategy for the exam a/c to your strong points & preparation.

Keep in mind that, it is not necessary to solve all problems in an exam, your guessing power should also be strong which comes by solving a lot of problems. So that you can easily discard the wrong options and can identify correct options.Tips for NETGate

Numerical Analysis, Dynamical System & Markov Chain:  These are easy and scoring topics for NET. So complete them first. You may practice and solve all problems of NET from these topics within about 1 day.

Note: All the above mentioned topics may be practiced and solved in a maximum of 2 or 3 days.

Important Topics and Marks weightage for Upcoming CSIR NET Exam

NET Marks wt_1

Also, during study/practice make a chart of important key points for quick revision in the last days of preparation. Here is a sample (Sample PDF download).MarksDistribution

CSIR-NET Cut off analysis and setting up the target for You

Important links:  Quick revision Notes for CSIR-NET, GATE & SET exam and Study Materials for NET/GATE/SET/ JAM/PhD


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Abstract Algebra & Linear Algebra

Abstract/Modern Algebra

  1. Abstract-1 (Group Theory): Download PDF
  2. Abstract-2 (Ring Theory): (Sample PDF) Buy Now
  3. Sylow Thm, Simple & Solvable Group(Free): Download PDF
  4. Quick Revision Notes(Group Theory): Download PDF
  5. Quick Revision Notes(Ring Theory):  Download PDF
  6. CSIR-NET Abstract Algebra Solution(Upto Nov-2020): Download PDF

All Notes of Abstract Algebra (Available Now)

Linear Algebra

  1. Linear(Only Matrix Theory): Download PDF
  2. Linear Algebra Full Notes: Download PDF
  3. CSIR-NET Linear Algebra Solution(Upto Nov-2020): Download PDF

Check All Study Materials: NET-GATE Notes PDF Center

Important Links:


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Free Maths Study Materials by P Kalika

Free handwritten Study materials for B.Sc and M.Sc. Mathematics Students. These notes are also useful in the preparation of JAM, CSIR-NET, GATE, SET, NBHM, TIFR, …etc.

  1. Algebraic Number Theory: Download PDF
  2. Complex Analysis(Updated): Download PDF
  3. Discrete Mathematics: Download PDF
  4. Functional Analysis: Download PDF
  5. Hadamard Matrices: Download PDF
  6. Legendre & Bessel Differential Equation: PDF Download
  7. Mathematical Methods: Download PDF
  8. Measure Theory: Download PDF
  9. Number Theory: Download PDF
  10. Numerical Analysis: Download PDF
  11. Special Functions Notes: Download PDF
  12. Sylow Theorem, Simple & Solvable Group: Download PDF
  13. Abstract Algebra(Same file NET/GATE): Click Here
  14. Linear Algebra(Same file NET/GATE): Download Here
  15. Real Analysis(Same file NET/GATE): Download PDF
  16. (Donated)FREE Study materials: Download Here

If you wish to help others by sharing your own study materials, then you may send your notes to maths.whisperer@gmail.com with your details.

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NBHM MSc & Ph.D. Old Year Question Papers and Answer Key

Here, We are providing Que. Paper in Compiled and Individual Form. You may download anyone as on your interest. For preparation, I suggest along with your study also do problems of Prev. Yr. Questions.

NBHM PhD Que Papers(2020-2005) with Ans. Key: Download PDF

For NBHM PhD Solutions, Eligibility, Interviews and Other Queries: Click here

OR

NBHM PhD Scholarship Test Que. Papers & Keys

NBHM MA/MSc Scholarship Test Que. Papers & Keys

NBHM Online Application Link: Click Here
NBHM PhD Solution: Download Solution


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Your Contribution

If you want to contribute your own notes for others’ help, your welcome. Please mail me your file in pdf/doc/zip at maths.whisperer@gmail.com.

If we are able to help others by providing notes/handwritten materials/Solution of Prev. Yr. Papers…etc, I feel very lucky. I also request to others, If you’ve your own written notes, and you think that it may help others, you may send me your scanned study material, I will upload it on my site. You may send your notes related to mathematics.

Some people contributed their Study Materials: Free Maths Study Materials (Donated)

Thanks!