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