The book "A Textbook of B. Sc. Mathematics" is for the students studying in first year of Telangana State universities. The revised syllabus is being adopted by all the universities in Telangana State, following Common Core model curriculum from the academic year 2019-2020 based on CBCS (Choice Based Credit System). This book strictly covers the new curriculum for Semester I (First year, First semester). The detailed solutions for all the problems in the various exercises of different chapters are given at the end. Key for the exercise problems appended at the end.