Maths Spl

To be eligible for BA economics (honors), it is mandatory to have mathematics as a mandatory subject.

Please refer to the link provided below for a list of careers which are available to students with a commerce background. There are a number of colleges which offer a variety of courses and I am sure you will find a viable course which he can pursue for a bright future.
Https://http://shiksha.com/careers.

Yes, you can do it.

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Yes, you can take the exam from NIOS board too.

Please refer to the link mentioned below for details regarding the NPAT exam. Details like exam dates, pattern, syllabus, application form, etc. are mentioned at the link provided below:
https://www.shiksha.com/bba/exams/npat

In the study curriculum of software engineering, the study comprises of different programming languages such as C, C+, Java, Dot NET, C#, etc. These programming languages are used to design different types of software, applications & games, etc. Field of software engineering is appropriate for those candidates who have creative minds and want to develop something new using the computer programs. Today software engineering is playing a key role in almost every sector. Maths is important but only for the first few semesters. The main subject you have to learn are programming languages.

Yes, maths is a compulsory subject to take in B.Com (H).

Though all the topics mentioned in the syllabus are equally important, but following are the ones I think to be the most critical:
Quadratic equations
Trigonometry
Distance and time
Mensuration
All the best.