Sample Study Materials

Mathematics Optional Study Material for UPSC Mains 2025-26

Online Admission Form FREE DOWNLOAD Previous Years IAS/IFoS Mathematics Optional Question For More Information

UPSC Mathematics Optional Syllabus

Syllabus of Mathematical Sciences for CSIR-UGC CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship SYLLABUS FOR MATHEMATICAL SCIENCES General Aptitude (GA): Common to All Papers of Part – A: Logical reasoning,graphical analysis, analytical and numerical ability, quantitative comparison, series formation, puzzle etc. Mathematics Syllabus (Common Syllabus for Part ‘B & C’) UNIT … Read more

Mathematics Syllabus

Paper-I Linear Algebra: Vector spaces over R and C, linear dependence and independence, subspaces, bases, dimension; Linear transformations, rank and nullity, matrix of a linear transformation. Algebra of Matrices; Row and column reduction, Echelon form, congruence’s and similarity; Rank of a matrix; Inverse of a matrix; Solution of system of linear equations; Eigenvalues and eigenvectors, characteristic … Read more