GATE CY Mathematics
Syllabus structure & chapters
Complete syllabus outline for GATE CY Mathematics. Click on any chapter below to explore subtopics, key concept highlights, expected questions, and start practicing mock tests specifically customized for GATE CY preparation.
Sets, Relations and Functions
Set Operations, Types of Relations, Types of Functions, Composition
Complex Numbers
Algebra of Complex Numbers, Modulus and Argument, de Moivre's Theorem, Cube Roots
Sequences and Series
Arithmetic Progression, Geometric Progression, Special Series, AM-GM-HM
Binomial Theorem
Binomial Expansion, General Term, Middle Term, Coefficient Problems
Permutations and Combinations
Fundamental Counting, Permutations, Combinations, Circular Arrangements
Probability
Classical Probability, Conditional Probability, Bayes' Theorem, Binomial Distribution
Matrices and Determinants
Matrix Operations, Determinants, Inverse Matrix, System of Equations
Trigonometry
Trigonometric Identities, Inverse Trigonometry, Trigonometric Equations, Heights
Coordinate Geometry
Straight Lines, Circle, Parabola, Ellipse, Hyperbola
Limits and Continuity
Limits, L'Hopital's Rule, Continuity, Differentiability
Differentiation
Derivatives, Chain Rule, Application of Derivatives, Maxima-Minima
Integration
Indefinite Integration, Definite Integration, Area Under Curves, Differential Equations
Vectors and 3D Geometry
Vector Operations, Dot and Cross Product, Lines in 3D, Planes in 3D
Statistics
Mean, Median, Mode, Standard Deviation, Variance, Correlation