Tezpur University

Refer this link:
https://www.shiksha.com/university/tezpur-university/exams/tuee/syllabus

Yes, there are few colleges which dosen't require maths in 10+2 but if you applying for MCA then you have to study maths in BCA, and its easy to study maths.

As per last year's trend, cut-off ranks for disciplines in Tezpur University were 20,000-40,000 for general category so it will be bit difficult to get a seat. Also, check the below link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=8030745

In order to predict engineering colleges, you can get on the basis of your JEE Rank. Use Shiksha JEE College Predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=7489993.

In order to predict engineering colleges, you can get on the basis of your JEE Rank. Use Shiksha JEE College Predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=7489993.

Yes, you have to be thorough with all the subjects of 11th as well as 12th as the syllabus covers all these topics. If you want, you can prioritize the concepts, but for a proper knowledge the whole syllabus needs to be completed.