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A Learning Manual, for, , Basic Mathematics, , (22103), , Semester— (1), , (First Semester Diploma in Engineering and Technology), , , , Maharashtra State, , Board of Technical Education, Mumbai, (Autonomous) (ISO-9001-2008) (ISO/IEC 27001:2013)

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Basic Mathematics (22103), , , , Maharashtra State, , Board of Technical Education, Mumbai, (Autonomous) (ISO-9001-2008) (ISO/IEC 27001:2013), , 4" Floor, Government Polytechnic Building, 49, Kherwadi,, Bandra (East), Mumbai -400051., , 2|Page

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Mathematics (22103), , Preface, The primary focus of any engineering work in the technical education system is to develop the, much needed industry relevant competencies and skills. With this in view, MSBTE embarked, on this innovative ‘I’ Scheme curricula for engineering diploma programmes with outcomebased education., This Learning manual is designed to help all stakeholders, especially the students, teachers, and instructors to develop in the student the pre-determined outcomes. The manual begins by, identifying the competency, course outcomes,. The students will become aware about the, concepts of Basic Mathematics., This manual also provides guidelines to teachers to effectively facilitate student-centered, activities through each chapter by arranging and managing necessary resources ensuring the, achievement of outcomes in the students., Mathematics is the core course to develop the competencies of most of the technological, courses. This basic course of Mathematics is being introduced as a foundation which will help, in developing the competency and the requisite course outcomes in most of the engineering, diploma programmes to cater to the needs of the industry and thereby enhance the, employability. This course is an attempt to initiate the multi-dimensional logical thinking and, reasoning capabilities. It will help to apply the principles of basic mathematics to solve related, technology problems. Hence, the course provides the insight to analyze engineering problems, scientifically using logarithms, determinants, matrices, trigonometry, coordinate geometry,, mensuration and statis, The Learning manual development team wishes to thank MSBTE who took initiative in the, development of curriculum re-design project and implementation and also acknowledge the, contribution of individual course experts who have been involved in Learning manual as well, as curriculum development (I scheme) directly or indirectly, Although all care has been taken to check for mistakes in this learning manual, yet it is, impossible to claim perfection especially as this is the first edition. Any such errors and, suggestions for improvement can be brought to our notice and are highly welcome., , ics., , , , Learning Manual Development Team, , 3|Page

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Basic Mathematics (22103), , , , , , , , , , , , , , , , , , , , List of Content, Sr. No Name of Unit Page No., , Algebra, , 1. 05, Trigonometr:, , 2. 8 y 55, Coordinate Geometry, , 3. 88, Mensuration, , 4, 104, Statistics, , 55 125, , , , , , 4|Page