2021 Paper 1
- Q1a Algebra of matrices 10 marks
- Q1b Matrix of a linear transformation 10 marks
- Q1c Algebra of matrices 10 marks
- Q1d Mean-value theorems (Rolle, Lagrange, Cauchy) 10 marks
- Q1e Cylinder 10 marks
- Q2a Cone 20 marks
- Q2b Partial derivatives 15 marks
- Q2c Subspaces 15 marks
- Q3a-i Jacobian 7 marks
- Q3a-ii Indefinite integrals 5 marks
- Q3a-iii Indefinite integrals 8 marks
- Q3b Sphere 15 marks
- Q3c-i Symmetric and Skew-Symmetric Matrices 8 marks
- Q3c-ii Algebra of matrices 7 marks
- Q4a-i Rank of a matrix 10 marks
- Q4a-ii Eigenvalues and eigenvectors 10 marks
- Q4b Areas, surface areas, volumes via integration 15 marks
- Q4c Straight lines in 3D 15 marks
- Q5a Particular integral via operator method 10 marks
- Q5b Laplace transform applied to IVP for second-order linear ODE with constant coefficients 10 marks
- Q5c Equilibrium of a system of particles 10 marks
- Q5d Central force motion and Kepler's laws 10 marks
- Q5e Higher order derivatives; Laplacian 10 marks
- Q6a Common catenary 20 marks
- Q6b Linear ODE with constant coefficients 15 marks
- Q6c Line integrals 15 marks
- Q7a Gauss divergence theorem 20 marks
- Q7b Clairaut's equation 15 marks
- Q7c Constrained motion 15 marks
- Q8a-i Orthogonal trajectories (cartesian and polar) 10 marks
- Q8a-ii Method of variation of parameters 10 marks
- Q8b Projectile motion 15 marks
- Q8c Stokes' theorem 15 marks