Notes and Online Tests for Graduate and Post-Graduate Mathematics Students

Hello readers. It is Parveen Chhikara. It might be beneficial for us, if we have a platform, that is regular, where we can learn through discussions, online or offline tests, and other possible ways. It is just an attempt to do that. I hope I would make a little effort in it. If you are a graduate, post-graduate mathematics students, or preparing for some competitive exams in higher mathematics, like CSIR-NET Mathematical Sciences, IIT-JAM Mathematics, TIFR, IISc, ISI and CMI, then it should help you.

Our first target is on Linear Algebra. Our schedule for next few days is as follows:

Sun, Oct 16 @ 9pm: Download Notes for Definition of Vector Spaces, Subspaces, Spanning Sets, Linear Independence

Tue, Oct 18 @ 9pm: Test for Definition of Vector Spaces, Subspaces, Spanning Sets, Linear Independence

Wed, Oct 19 @ 9pm: Download Notes for Basis and Dimensions

Fri, Oct 21 @ 9pm: Test for Basis and Dimensions

Sat, Oct 22 @ 9pm: Download Notes for Linear Transformations

Mon, Oct 24 @ 9pm: Test for Linear Transformations

Wed, Oct 26 @ 9pm: Test of whole syllabus done till then.

Download Notes

1. Definition of Vector Spaces, Subspaces, Spanning Sets, Linear Independence. Click on  Notes – 1

2. Basis and Dimension. Click on Notes – 2

FIRST MINI TEST: NOTE: (CAUTION) 1. You cannot go back during the exam. Once answered you cannot change.

YOU CANNOT GO BACK DURING THE TEST.

YOU CANNOT GIVE THE TEST AGAIN.

2. It may take time for the question to appear, due to network problems, so please be patient.

3. Please give us a feedback after the exam, so that we can serve you better.

How to appear for the test?

Step 1:  First Register. Do not forget your password and User name.

Step 2: Login to you account, and go for test.

For test 1: Click on FIRST Linear Algebra Mini Test

For test 2: Click on Second Linear Algebra Test

For test 3: Click on  Third Mini Test on Linear Transformations

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31 thoughts on “Notes and Online Tests for Graduate and Post-Graduate Mathematics Students

  1. Superb Work Sir… It will be very helpful to all us

    One error May be Q.no. 9 : Let w1 w2 U suspaces of V.
    take V =

    take U =
    W1 =
    W2 =
    U (+) W1 = U (+) W2. = V but W1 not= W2

    Like

  2. Sir ,please check i think there is some problem in these questions
    ques 2: option d is incomplete
    ques 10 : option (b) and option (d) .there is something wrong in this span(y)=span(y)

    Rest the test was good.
    Thank you so much for putting so many efforts

    Like

  3. First of all thanku sir for this effort . secondly i want to say that the procedure of first mini test is better then the second one according to me….
    Once again thanku sir !

    Like

  4. Sir I can’t able to register for the mini test series.
    It always shows like user name is unavailable.
    Please help me to start preparing for mini test.
    Thanks in advance

    Like

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