There are many people who want to shift from BTech/BE to Mathematics. They are either looking for MSc in Mathematics or Direct PhD.
First I will post here a mail I got yesterday :
I’m extremely delighted and thankful to you that you replied to my comment in just an hour.
Sir, I was a very brilliant mathematics student in my school and till 10+2 I couldn’t study any other subject, because of my obsession of mathematics.
However, after my 10+2 exams, I did a biggest mistake of my life that has almost costed my career.
Sir, I got selected for B.tech metallurgical engg. in NIT XYZ. With absolutely no interest in metallurgy, I chose to pursue my career in Metallurgy, just because of the crave for NIT in my area.
After I went through, I realized what I had done, but too late. Due to lack of interest, I just studied for passing the exams and got mediocre grades. After completing my exams, my pointer was around 6.9, and I came out of NIT without placements.
Due to lack of scope of this subject in my area (XYZ), I couldn’t find any job here either. I couldn’t opt for M.tech in the same feild because with passing time, I started to hate this field.
It has now been 2 yrs since I took my B.Tech. degree and I feel like my career is destroyed by none other than my own self. I feel depressed.
I am doing a small job in a private firm. So, I really took it, as an end of my career.
Recently, I came across an fb page titled ‘I love Mathematics’ and I hit the like button. I came across many mathematical problems of calculus or trigonometry that remembered me of my past days. The desire, along with the feeling that I can’t solve these problems now, dejected me but at the same time, I saw a glimmer of hope, at the end of the tunnel.
An idea struck my mind that I might pursue a career in Mathematics. I went to Web and there I found you. In your blog I read that I can prepare for Gate and go for direct PhD. I also have another option, for doing M.Sc in Maths in our XYZ University but I’m not sure whether they take B.tech students for this program.
But Sir, I now have great challenges ahead of me. I have almost forgotten my 11th or 12th class maths. I also am in need of financial support not for just my studies, but also for my family.
I will be very grateful to you if you can help me to let me know which books should I study, how should I make myself ready for Gate 2018, and how can I get financial support.
I have tried not to reveal the identity of the person who sent me this mail. While writing answer I am aware that this answer will play very important role for the future of him and many others like him.
Here is my answer:
Let we discuss how can you qualify GATE-2018. Today is 1st August 2017 and GATE exam is in first week of February 2018. You have six months. I am not much sure that in Six months you can qualify GATE with good rank but I can tell you that in 1 and a half year with 3 hour daily spending, you can qualify this exam with good rank.
I am sure that you have studied maths for 3 to 4 semester in your BTech. (No problem if you forgot this also)
Abstract Algebra: joseph A. Gallian by Contemporary Abstract Algebra
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