Science

Check below the syllabus for the mathematics section of the UPESEAT exam:

Sets, relations and functions 
Complex numbers and quadratic equations 
Matrices and determinants 
Permutations and combinations 
Mathematical induction 
Binomial theorem and its simple applications 
Sequences and series 
Limit, continuity and differentiability 
Integral calculus 
Differential equations 
Coordinate geometry 
Three-dimensional geometry 
Vector algebra 
Statistics and probability Mathematical reasoning 
Trigonometry, etc.

Also Read: https://www.shiksha.com/engineering/upeseat-exam-syllabus

The last year 2022 cutoff ranks for B.Tech. in Engineering Physics at IIT Roorkee - Indian Institute of Technology other than General category are - 2648 for OBC, 1764 for SC, 894 for ST, 1062 for EWS. While the admissions are based on the scores/rank obtained in JEE exam, the last cut offs also change a lot depending on All India quota or Home State. It also varies if the applicant is a female.

The Opening and Closing ranks depend on the category and quota of candidates. For the IIT Roorkee cutoff 2023, the closing rank was 687. Cutoff are different when it comes to other categories or female candidates and even the domicile of the home state. In All India, the closing rank for female candidates was 1866. 

Admission to BTech in Data Science and Artificial Intelligence at IIT Roorkee - Indian Institute of Technology is based on the scores obtained in the JEE Advanced entrance exam. Applicants are advised to confirm what category are they applying for while checking for cut offs.  

For last year, the closing rank for B.Tech. in Biological Science and Bioengineering was 7309 which is very close to this range. This was for general category under All India quota. Unless the candidate belongs to some other category or domicile, one cannot afford to score less than this. With this rank, there is a probability of getting admission however since, the cut offs keep changing year on year, it is advisable to try to score better ranks to increase your chances of getting admission in IIT Kanpur - Indian Institute of Technology.

B.Tech DS from IIT Roorkee is the good option against the Dual degree from IIT Mumbai. However if your son is interested in research and higher studies, then can go for IIT Mumbai for dual degree course.

Opening and Closing rank depends on the category and quota of candidates. For the General category under All India, opening rank was 4554 and closing rank was 4659 in 2023. The cutoff in 2024 for the all-India quota ranged from 6695 to 9975. Cut off are differant when it comes to other categories or female candidates and even domicile of home state. Admission to BTech in Computer Science and Biosciences in IIIT Delhi is based on the scores obtained in the entrance exam JEE. Applicants are advised to confirm what category are they applying while checking for cut offs.