For every Engineering aspirant, choosing the branch is the most crucial task as it is an important step in shaping your career. I suggest you take your inclinations into consideration. No doubt, it’s difficult to identify your interests right after class 12th.

CSE in IIT Mandi

• It’s almost been 14 years since the establishment of IIT Mandi and since then it has developed a lot.
• IIT Mandi has a great faculty base with the Director himself from a CSE background.
• IIT Mandi’s unique curriculum helps one to learn a lot of interdisciplinary subjects even more than other IITs apart from your core courses. This imparts interdisciplinary knowledge to the students.
• Coding culture is improving exponentially. The increasing rate of GoSC selections is a testament to the same.
• Placements are excellent with IIT Mandi's highest package standing at INR 60 LPA & IIT Mandi's average package recorded at INR 25.23 LPA.
• The placement season witnesses a mix of both domestic and international offers. Recruiters like Flipkart, 1mg, Microsoft, Uber, Amazon, Walmart, etc participated in the placement drive this year.

The other options available with your rank are

• IIT Guwahati ECE
• IIT Guwahati MNC

The best way would be to do extensive research about both colleges, make a list of things that you are looking for in your B.Tech program, prioritize and quantify them and then take the final decision.

MSc in Mathematics syllabus is designed in such a way that it focuses entirely on pure mathematical concepts and analysis. It is the backbone of core mathematics which is a stepping stone for the advanced level of research at the doctorate stage. Data Structures and Algorithms, and Theory of Computation are compulsory subjects along with r CS electives such as Database Management Systems, Parallel Programming, and Distributed Computing, The course is somewhat inclined towards computing. 

A few other courses covered under this program are as follows:

• Real Analysis
• Complex Analysis
• Linear Algebra
• Abstract Algebra
• Functional Analysis
• Topology of Metric Spaces
• Numerical Analysis

MSc Mathematics Computing / MSc Applied Mathematics at IIT Guwahati covers courses like 

• Advanced and Applied Linear Algebra
• Numerical Techniques
• Statistical Techniques and Computation
• Applied Functional Analysis
• Differential Equations and Problems in Various Engineering Fields
• Coding Theory and Cryptography 
• Statistical Modeling
• Machine Learning
• Applied Abstract Algebra

This program focuses mostly on solving problems arising in various branches of Engineering, Economics, Business, and Finance. It also deals with developing algorithms to perform high-order calculations and deals with statistical computation too.

Since the introduction of statistical software like R, SAS and MATLAB, Python, SAGEMATH, and High Order Clusters, Mathematical Computations have improved due to high speed and calculations on large data.

When it comes to Computer Science and Engineering (CSE) programs, IIIT Hyderabad is undoubtedly one of the best options available. The study environment and coding culture at IIIT Hyderabad are unmatched, making it a great choice for students interested in CSE.

However, if you are looking for a more well-rounded college experience that includes a relaxed and enjoyable campus life, an older IIT may be a better choice for you. While IIIT Hyderabad excels in academics, it may not provide the same level of student life experience as an IIT.

When deciding between colleges, it is important to consider all aspects of the institution, not just academics. For example, BITS Pilani is an excellent college in all aspects, but if you have the option of getting into an older IIT such as IIT Guwahati, it may be a better choice for you.

Similarly, when choosing between BHU and IIT Guwahati, it is advisable to choose IIT Guwahati. While BHU has recently been given the IIT tag, IIT Guwahati is now being compared to older IITs and is even beating some of them in various rankings.

Finally, if you do not get admission into CSE with a rank of 803, Mathematics and Computing (MnC) is always an option. In fact, MnC is a safer option with better placement opportunities at IIT Guwahati. So, you can always consider MnC if you don't get CSE.

The choice of the institute for pursuing an MTech in Electrical Engineering depends on what you want from your Masters. 

• For those on the lookout for placements, NIT Trichy has a good placement scenario, especially for Electrical Engineering. They are even better than some well-known IITs in M.Tech, especially Power Systems. 
• However, if you are willing to pursue a career in research after MTech (Ph.D.) then you will have to give great importance to the choice of the institute. An IIT is best suitable for prospective Ph.D. holders as they have global recognition too.

Ultimately, the better institute is a matter of preferences and career prospects.

I always find comparing two branches very illogical because the entire purpose of branches is to cater to the interests of different people. One stream might be good for you but not for the other and vice versa. 

An electrical engineer works with impressive technologies like microprocessors or communication systems. A computer engineer on the other hand achieves great things through his computer. It’s better to read about machine learning classification. 

Some students prefer judging colleges on the basis of the kind of environment they offer. Both IIT Bombay and IIT Guwahati have a great academic environment and offer excellent exposure. Both the colleges are good in all aspects like placements, location, and academics. Don’t follow the trends and standards set by society and follow what your heart says!

The better option depends on what your purpose and life goals are and what you want from your Master. 

If you want to pursue a career in research (PhD) the best option for you is IIT Guwahati. Being one of the oldest and most highly reputed IITs, it has high credibility and will fetch you Ph.D. interviews much more easily. Additionally, IIT Guwahati also offers immense exposure through foreign exchange programs. IIT Guwahati has collaborations with various reputed universities and can be preferred over NITs. 

However, if it's the jobs you are after, then NIT is a better option as it’s more accessible to employers. Still, IIT Guwahati will always be my first preference. Be it a job or higher education, IITs always give an edge to other engineering institutes.