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Yes, Mathematics at 12th is mandatory for Bachelor of Science (Research) Programme at IISc Bangalore. The eligibility criteria is given below:
ELIGIBILITY: Candidates who have completed their II PUC / 12th Standard in 2019 and those who are expecting to complete their II PUC / 12th Standard in 2020 are eligible to apply. The candidates must have studied Physics, Chemistry and Mathematics as main subjects during their II PUC / 12th Standard.
Candidates who have studied Biology, Statistics, Electronics, Computer Science, etc., in addition to Physics, Chemistry and Mathematics are also eligible to apply. The candidates must have secured a first class or 60% or equivalent grade (relaxed to pass class for SC/ST candidates) in the II PUC / 12th Standard examination.

Fashion designing is a challenging, creative field that requires business, art and designing skills. According to me, Sanskriti University should be your first choice if you wish to do fashion designing from a reputed university.
B.A. in Fashion Designing: - The main contents of the programme include fashion and apparel design fundamentals, elements and principles, introduction to textiles, creative yarn craft, creative embroidery, sewing technology, and introduction to draping, advanced computer aided design for fashion and textiles, garment manufacturing, vintage costumes, fashion accessories, fabric testing and quality control, production management and merchandising, etc.
Career Scope: Fashion is prevailing all over the world. Fashion is the term beyond our imagination and thus it creates the wide range of opportunities in the field of creativity.
The students obtaining diploma/ degree in fashion designing have enormous opportunities of decent placement in established organizations in the following sectors:
Fashion Merchandizing
Designers
Coordinator
Fashion Museum
Sampling/Supervision
Boutiques
Fabrication
Fashion Specialization