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ISI and CMI Entrance Exam Preparation Strategy, Summaries of Mathematics

Strategies for preparing for the isi and cmi entrance exams, including recommendations for studying previous year questions, focusing on specific topics and techniques, and utilizing resources such as textbooks and online videos. It also emphasizes the importance of practicing proving techniques and attempting all questions.

Typology: Summaries

2021/2022

Uploaded on 01/24/2024

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ISI and CMI preparation Strategy
Ravindra Sindhiya--
For Paper 1 (PCA) :
Go for Previous year questions of ISI try to solve them if you can do (fine),
if you are weak in some topic of math then
Pick up jee mains/advanced materials, grasp the concepts, and practice
(OR )
If you are weak in some topic and not able to solve pyq of that topic go for YouTube playlist of
jee and learn topics from them (most students did it ).
Usually 18-20 questions from Jee like topics and the rest from topics like Basic Geometry,
Number Theory, etc
Good attempt would be 20-22 questions with good accuracy.
ISI and CMI PYQ are available on Gateoverflow ,See your answers and check with answers
posted on gateoverflow.
Also there is whatsapp group for ISI preparation so you can discuss there.
Paper 2:
Try to learn proving techniques: induction, proof by contradiction, proving contrapositive
statement, counter-examples(mostly useful in graph theory)
TOC: See pyq of ISI and CMI ,try by yourself if you couldn't do it you can go on website Gate
overflow and see their approach . Apart from these practice previous
Year Gate as well .
Discrete maths: Solve problems from Kenneth Rosen, Narsing Deo(Graph theory)
Algorithms: Read about Binary Search and its applications(very important for ISI entrance),
Linked-List , Binary Trees,AVL -Trees, Heaps, Graphs from CLRS.
You should watch Prof Naveen Garg's Nptel videos-it is one of the best available. Practicing the
Previous Year Questions from ISI entrance Paper and Gate
is a must.
OS: Solve Previous papers ( Gate preparation is enough)
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ISI and CMI preparation Strategy

Ravindra Sindhiya--

For Paper 1 (PCA) : Go for Previous year questions of ISI try to solve them if you can do (fine), if you are weak in some topic of math then Pick up jee mains/advanced materials, grasp the concepts, and practice (OR ) If you are weak in some topic and not able to solve pyq of that topic go for YouTube playlist of jee and learn topics from them (most students did it ). Usually 18-20 questions from Jee like topics and the rest from topics like Basic Geometry, Number Theory, etc Good attempt would be 20-22 questions with good accuracy. ISI and CMI PYQ are available on Gateoverflow ,See your answers and check with answers posted on gateoverflow. Also there is whatsapp group for ISI preparation so you can discuss there. Paper 2: Try to learn proving techniques: induction, proof by contradiction, proving contrapositive statement, counter-examples(mostly useful in graph theory) TOC: See pyq of ISI and CMI ,try by yourself if you couldn't do it you can go on website Gate overflow and see their approach. Apart from these practice previous Year Gate as well. Discrete maths: Solve problems from Kenneth Rosen, Narsing Deo(Graph theory) Algorithms: Read about Binary Search and its applications(very important for ISI entrance), Linked-List , Binary Trees,AVL -Trees, Heaps, Graphs from CLRS. You should watch Prof Naveen Garg's Nptel videos-it is one of the best available. Practicing the Previous Year Questions from ISI entrance Paper and Gate is a must. OS: Solve Previous papers ( Gate preparation is enough)

CN: Solve pyq from Gateoverflow for ISI Gate prev year questions is a must for CN. Those questions are very helpful for ISI Entrance as well. DBMS: Previous year questions and Gate level preparation would be enough. COA: Gate pyq and ISI pyq ( Gate preparation is enough, if you find difficulty in CO then I also mentioned other students strategy for CO, follow their plan .) ISI and CMI PYQ are available on Gateoverflow ,See your answers and check with answers posted on gateoverflow. Good attempt: 6-7 questions with correct logic. One must attempt all the questions and write whatever logic is coming to your mind. might not be correct but you will get partial marks if your thought process is in the correct direction.

My classmate(Arkadeep) -

For Paper 1(PCA) : Test of Mathematics at 10+2 level (Tomato) book(if basics like calculus, functions, trigonometry, geometry, combinatorics,etc are good) Otherwise, pick up jee mains/advanced materials, grasp the concepts, and practice. The questions are usually very adhoc which can be better tackled only through practice. For practice the tomato book is a must. The tomato book contains quite a lot of practice questions.Practice atleast 100 questions from the book to get comfortable/familiar with the type of questions asked at ISI Entrance. Usually 18-20 questions from Jee like topics and the rest from topics like Basic Geometry, Number Theory, etc Good attempt would be 20-22 questions with good accuracy. Also remember in the ISI Entrance you get 1 marks for not attempting the question, 4 marks for correct answer and there is no negative marking. So attempting 20-22 questions with good accuracy and leaving the rest suffices.

  1. After taking mocks, tally your answers with those of Gate Overflow ( ISI entrance test questions solutions are usually available on Gate Overflow ).
  2. Identify your mistakes from these tests and try to improve your score in the subsequent test.
  3. If you are NOT able to understand certain mathematical concepts or solutions of some math or CS questions, feel free to post your doubts on StackOverflow or MathOverflow or reach out to your peers in case you have WhatsApp groups for preparation or ask your mentor ( if you are enrolled in some coaching etc. )

My Junior (Siva kumar) -

For Paper 1 : Tomato book(if basics like calculus, functions, trigonometry, geometry, combinatorics,etc are good) Otherwise, pick up jee mains/advanced materials, grasp the concepts, and practice. Certain topics like functional analysis, convergence, sequence and series aren't covered for many BTechs, so extra effort if time permits(this usually is in MSc Maths syllabus) Usually 18-20 questions from Jee like topics And 10-12 questions from functional analysis Good attempt would be 25 questions with high accuracy Paper 2: Try to learn proving techniques: induction, proof by contradiction, proving contrapositive statement, counter-examples(mostly useful in graph theory) TOC: Nptel Prof Kamala lectures( very important) Discrete maths: Solve problems from Kenneth Rosen, Narsing Deo(Graph theory) Algorithms: Previous papers have good questions but you can also try CLRS OS: Solve from Galvin and Previous papers DBMS: Previous year questions and Gate level preparation would be enough COA: Nptel-Lectures of Prof S Raman, IIT M (These will also help for gate, but do it only if you have 1 to 1.5yrs of time till gate)

Try to write proofs for previous year questions and revise them in the last days Good attempt: 6-7 questions, but attemp all the questions, don't leave, write whatever you think of that question. Revise maths formulas of JEE + other paper 1 topics, time will be a factor.

My Junior (Urmit mahida)

*****ISI entrance preparation******* I'm writing my preparation strategy considering you are from an engineering background & you will attempt the CS section from the PCB paper. Stage 1:(optional) If you are not in touch with 10+2 math during the final year of B.Tech start solving JEE Arihant questions (you don't need to solve the whole book, do only the syllabus part). I solved Coordinate geometry, calculus, complex numbers questions from it because I was not in touch with these chapters. Stage 2:- If your basics in math are strong then you can skip stage 1. Then solve questions from the TOMATO book(skip similar type of question) If you get stuck somewhere in between you can use Tanujit sir's website for TOMATO solutions & other resources. https://www.ctanujit.org/isi-mtech-exams.html Please don't see solutions beforehand (Be Honest with your preparation, it maximize your chance of admission :p ). solve B.Math & B.Stat questions given in TOMATO. This will help you to clear your concepts in a more precise manner. Stage 3:- Solve PYQ's available on the admission test website for both PCA & PCB sections. Coming to the subjective part Focus on system subjects CO, CN, OS. Don't skip this part. According to the general trend of PYQ, they will ask numerical from this section so score well in these subjects to maximize your score. C, DS, DAA being the heart of CSE, will ask you to write programs, proposing a suitable data structure & writing algorithms in the subjective paper. Even though the questions are a bit difficult don't skip them explain your approach there will be partial marking. DBMS, DL questions are very easy, do PYQ's thoroughly. They will ask you to prove something from Graph Theory. Go through the proofs given in Narsingh Deo & study from Kenneth Rosen as well.