2022 Paper 1
- Q1a Bases and dimension; coordinates in a basis 10 marks
- Q1b Linear transformations 10 marks
- Q1c Indeterminate forms 10 marks
- Q1d Improper integrals (unbounded interval/integrand) 10 marks
- Q1e Sphere 10 marks
- Q2a Solution of system of linear equations 15 marks
- Q2b Lagrange's method of multipliers (constrained extrema) 15 marks
- Q2c Ellipsoid 20 marks
- Q3a-i Subspaces 10 marks
- Q3a-ii Bases and dimension; coordinates in a basis 10 marks
- Q3b Double integrals 15 marks
- Q3c Sphere 15 marks
- Q4a Eigenvalues and eigenvectors 15 marks
- Q4b Curve tracing (cartesian and polar) 20 marks
- Q4c Cone 15 marks
- Q5a Linear first-order 10 marks
- Q5b Orthogonal trajectories (cartesian and polar) 10 marks
- Q5c Friction (limiting friction) 10 marks
- Q5d Projectile motion 10 marks
- Q5e Curl: definition, physical meaning, computation 10 marks
- Q6a Common catenary 20 marks
- Q6b Method of variation of parameters 15 marks
- Q6c Line integrals 15 marks
- Q7a Stokes' theorem 20 marks
- Q7b Laplace transform applied to IVP for second-order linear ODE with constant coefficients 15 marks
- Q7c Stability of equilibrium (energy criterion) 15 marks
- Q8a-i Clairaut's equation 10 marks
- Q8a-ii Euler-Cauchy equation 10 marks
- Q8b Principle of virtual work 15 marks
- Q8c Gauss divergence theorem 15 marks