2026 Paper 1
- Q1a Solution of system of linear equations 10 marks
- Q1b Congruence and similarity of matrices 10 marks
- Q1c Partial derivatives 10 marks
- Q1d Taylor's theorem with remainders 10 marks
- Q1e Sphere 10 marks
- Q2a Eigenvalues and eigenvectors 20 marks
- Q2b Maxima and minima of single-variable functions 15 marks
- Q2c Shortest distance between two skew lines 15 marks
- Q3a-i Subspaces 8 marks
- Q3a-ii Subspaces 7 marks
- Q3b-i Double integrals 10 marks
- Q3b-ii Areas, surface areas, volumes via integration 10 marks
- Q3c Cone 15 marks
- Q4a-i Rank and nullity; rank-nullity theorem 8 marks
- Q4a-ii Rank and nullity; rank-nullity theorem 7 marks
- Q4b Curve tracing (cartesian and polar) 15 marks
- Q4c-i Hyperboloid of one sheet 10 marks
- Q4c-ii Cylinder 10 marks
- Q5a Linear first-order 10 marks
- Q5b Laplace transform applied to IVP for second-order linear ODE with constant coefficients 10 marks
- Q5c Principle of virtual work 10 marks
- Q5d Constrained motion 10 marks
- Q5e Surface integrals; flux 10 marks
- Q6a Euler-Cauchy equation 15 marks
- Q6b-i Projectile motion 10 marks
- Q6b-ii Common catenary 10 marks
- Q6c Curvature and torsion 15 marks
- Q7a Simple harmonic motion (free, damped, forced) 15 marks
- Q7b Gauss divergence theorem 15 marks
- Q7c-i Exact equations 10 marks
- Q7c-ii Properties of Laplace transform (linearity, shift, derivative, convolution) 10 marks
- Q8a Method of variation of parameters 15 marks
- Q8b Stability of equilibrium (energy criterion) 15 marks
- Q8c-i Vector identities (curl of grad, div of curl, product rules) 10 marks
- Q8c-ii Differentiation of a vector function of a scalar variable 10 marks