# Joint CSIR UGC NET Syllabus for Mathemetical Science

Here you find syllabus of Mathemetical Science for Joint CSIR UGC NET which is conducted by Council of Scientific & Industrial Research (CSIR) for award of Junior Research Fellowship and Eligibility for Lectureship in the field of Science

The Council of Scientific & Industrial Research (CSIR) and University Grants Commission (UGC) conduct the Joint CSIR UGC NET for appointment of Lecturers in colleges and universities and for award of Junior Research Fellowship (JRF) in the faculty of Science. The test is held twice a year in the month of June and December in 6 subjects across various centres in the country.

The Joint CSIR UGC NET will comprise of three papers that consists of objective type Multiple Choice Questions (MCQ). While Paper A is common to all subjects and comprises of 20 questions on General Aptitude; Paper B and C consists of subject-related conventional MCQs wherein Paper C will have analytical questions of higher value that may test the candidate's knowledge and/or application of scientific concepts. For every wrong answer, 1/4 marks will be deducted.

Jagranjosh.com provides you the syllabus for Mathemetical Science for the benefit of the aspirants preparing for CSIR UGC NET recruitment exams. Candidates can go through the syllabus and prepare better for this exam.

Note: From December 2012 onwards, a 6th paper in Engineering Sciences is included for engineering graduates to pursue PhD/ Lectureship. The paper is common for all Engineering disciplines who have completed their BE/ BTech or equivalent in

Engineering with minimum 50% marks (50% for SC/ ST/ PH/ VH).

UNIT -1

Analysis: Elementary set theory. finite. countable and uncountable sets. Real number system as a

complete ordered field. Archimedean property, supremum. infumum.

Sequences and series. Convergence, limsup, liminf Bolzano Weierstrass theorem. Heine Borel theorem.

Continuity, uniform continuity. differentiability, mean value theorem.

Sequences and series of functions, uniform convergence.

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