For the first year, the syllabus is the same for all the branches. This gives an overview of all the branches. This does not mean that you will not be studying subjects related to your branch. You will have subjects like Basic Mechanical Engineering (BME), basics of computer languages such as C, C++, etc.

These subjects are scoring. You can easily score high grades in these subjects. 

You should prepare yourself for the overall year that you are going to have. You will come to know about the academic nitty-gritty on your way. The syllabus is definitely vast as the IITs will help you develop yourself more as a person than a student.

You can find the syllabus for the first year on the official website. You will find the syllabus of different branches on their departmental pages. If you have any specific doubts you can reach out to the current students or alumni of the institute. There is an IIT Madras Freshman Forum.

The syllabus at ISB Hyderabad for the PGP program is designed in such a way that it inculcates a wide variety of courses such as micro economics, macro-economic, financial accounting, statistics, operations management, competitive strategy, corporate finance, managerial accounting to name a few.

Term 4 is a crossover term- a nice blend of the core courses and elective courses chosen by the student. You can also check the entire list of elective courses on their website which is regularly updated. Term 5 to 8 will have the elective courses selected before the term commenced.

As you move to other electives, you can choose subjects like consumer behavior, transactional analysis and modeling, digital strategies, entrepreneurship, and also a few fun subjects such as filmmaking, happiness and creativity and leadership.

There are a total of 32 programs which are included in this module of ISB Hyderabad for PGP program. This is a 100% research oriented curriculum taken care of by all the top eminent faculty from across the globe. The list of subjects slightly keep changing from one year to the next and for more details, do visit their official website.

My brother attended MNNIT Allahabad, so I can give you a brief idea about the BTech first-year syllabus at the institute. 

There are some rules followed by the institute. First groups are made and each group has sub-groups like X group has subgroups of X1 and X2. One group studies one category of the subject in their 1st semester and in the next semester they study the other category of the subject. Some subjects are common while some are different.

Common Subjects - Mathematics and Physics

1st Category-

• Engineering Mechanics
• Mechanical Engineering Workshop
• English

To get a subject-specific syllabus visit the official website. Knowing the syllabus beforehand will give you a headstart.

A semester-wise view of the syllabus is discussed below. 

Semester-1: 

This is the general semester, where you have to study subjects like Physics, Chemistry, Engineering Drawing, Computer Programming language, etc along with labs and tutorials.

Semester-2:

In this semester you study advanced versions of subjects like Physics, Maths, Chemistry, Ecology, etc along with labs and tutorials.

Semester-3:

• By the 3rd semester, you get into the department and then you get to study your branch-related subjects.
• In this semester the courses are Data Structures, Discrete Mathematics, Electronics Signal Processing, and other IT-related subjects.

Semester-4: 

• As the 3rd and 4th semesters are crucial, you are taught major stream subjects in-depth such as Algorithms, Graphs and Combinatorics, Automata Theory and Computer Organization, etc.
• There will be labs and tutorials related to the courses in the 4th semester.

Semester-5:

Here you learn important courses like Operating Systems, Computer Networking, Cryptography, and Object-oriented modeling, and computer graphics.

Semester-6:

• In this semester courses such as, Database management, scientific computing, multimedia technology, Software engineering, etc are provided to the students.
• Also by the end of the 6th sem, you are allotted the mini-project.

Semester-7: 

• In this Sem, you get to opt for electives.1 open elective and 1 professional elective choice. And other subjects like Digital Image processing, Professional Ethics, Service-oriented software Engg are taught.
• These subjects are very easy and quite scoring. But you will need to work a lot on the project. 

Semester-8:

• In this semester, the department offers 1 open elective and 2 professional electives
• Apart from these, the courses are Privacy-preserving Data publishing, Research Trends in IT.

You should start coding and learning the basics of programming languages on your own. This will help you get prepared for internships.

During your years in MNNIT, I would advise you to maintain good pointers and pay attention to coding and competitive programming. Score well in subjects and try to focus more on highlighted courses because companies ask questions from those courses. Also, make good projects.

My elder sister is from this institute, so I think I can answer your question.

Legal Methods is the most difficult of the five subjects you'll study in the first semester. It covers a wide range of issues, including summary writing, finding ratio and obiter dictum, and legislative interpretation. You can read the article “The Case of the Speluncean Explorers” if you want. It's pointless to read the other materials before attending college lectures because the paper is purely application-based. Every year, entirely new excerpts are picked up for the paper. 

You can read the first 3–4 chapters of Ratanlal and Dhirajlal for Torts. After a few lectures, you'll figure out the rest.

The syllabus for the other disciplines is primarily lecture and module-based, so there's no use in doing anything ahead of time. However, for Pol Sc, any material on theorists such as Hobbes, Locke, and Rousseau would be helpful.

I have a few friends from Lucknow University and according to them, for the entrance examination, it focuses more on the syllabus of your 11th and 12th commerce subjects mainly. There will be a total of 75 questions based on these subjects.

The topics covered in the examination are as follows. 

• Business Studies,
• Accounts,
• Economics,
• Math, and
• Current Affairs.

Further, Current Affairs is not a particular subject but is all about what is happening all around you. It is just a basic knowledge of what is happening in the world around us and this constitutes about 25 questions of the test.

You can acquire books and study materials online for the LU entrance examination. 

All the Engineering branches at Amity University will be having the same subjects in their first year at Amity University. There will be 11 subjects in both the first and second semesters.

There are few subjects common for all in four years of their engineering which are - English; Foreign business Language (French, German, Spanish, Chinese, Japanese, etc); and Behavioral science

The following table shows the subjects for both the 1st and 2nd semester:

Sometimes first and second-semester subjects might get interchanged, but overall first-year syllabus will be the same as mentioned above.