## GATE Syllabus for Mathematics

GATE: Syllabus for Mathematics Graduate Aptitude Test in Engineering (GATE) SYLLABUS FOR GENERAL APTITUDE (GA) (Common to all papers) Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction. Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation. Mathematics

Syllabus of UPSC Prelims CSAT (Paper – II) TABLE OF CONTENTS BASIC NUMERACY (BN) Number System L.C.M & H.C.F Rational Numbers & Ordering Decimal Fractions Simplification Square Roots & Cube Roots Surds & Indices Ratio & proportion Percentages Averages Set theory Divisibility Rules Remainder Theorem

## Syllabus for Mathematics

UPSC IAS Syllabus CSAT (Paper – II) Paper II- (200 marks) Duration: Two Hours: 1. Comprehension 2. Interpersonal skills including communication skills; 3. Logical reasoning and analytical ability 4. Decision making and problem solving 5. General mental ability 6. Basic numeracy (numbers and their relations,

## Syllabus of Maths

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

IAS Mains 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;

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## Exam Syllabus: Indian Forest Service (IFoS) Examination

Indian Forest Service (IFoS) Examination – Mathematics Syllabus Syllabus of Paper – I Section-A Linear Algebra: Vector, space, linear dependance and independance, subspaces, bases, dimensions. Finite dimensional vector spaces. Matrices, Cayley-Hamiliton theorem, eigenvalues and eigenvectors, matrix of linear transformation, row and column reduction, Echelon form,

TABLE OF CONTENTS BASIC NUMERACY (BN) Number System LCM & HCF Rational Numbers & Ordering Decimal Fractions Simplification Square Roots & Cube Roots Surds & Indices Ratio & proportion Percentages Averages Set theory Divisibility Rules Remainder Theorem General Mental Ability (GMA) Partnership Profit & loss