Mathematics - Chapterwise Syllabus
Concept-first maths for Class XI pass students, aligned to NDA Paper I.
Paper I - Mathematics: 300 marks, 2½ hours.
Built from UPSC syllabus structure with NCERT/CBSE-grounded explanations and visual aids for faster understanding.
Chapter 1 - Foundation
Algebra and Number Systems
Sets, complex numbers, sequences and binomial basics.
Suggested study time: 24 minutes
Chapter 2 - Core
Matrices and Determinants
Matrix operations, determinant rules and linear equations.
Suggested study time: 20 minutes
Chapter 3 - Core
Trigonometry
Identities, angle relations, inverse trig and triangle application.
Suggested study time: 24 minutes
Chapter 4 - Core
Coordinate Geometry (2D + 3D)
Line, circle, conics, plane and direction ratios.
Suggested study time: 24 minutes
Chapter 5 - Exam-focused
Differential Calculus
Limits, continuity, derivatives and maxima/minima.
Suggested study time: 22 minutes
Chapter 6 - Exam-focused
Integral Calculus and Differential Equations
Integration methods, area under curve and first-order DE.
Suggested study time: 24 minutes
Chapter 7 - Core
Vector Algebra
Dot product, cross product and geometric applications.
Suggested study time: 18 minutes
Chapter 8 - Exam-focused
Statistics and Probability
Data interpretation, central tendency and Bayes basics.
Suggested study time: 22 minutes