2016 Paper 1
- Q1a-i Inverse of a matrix (adjoint and row reduction) 6 marks
- Q1a-ii Algebra of matrices 4 marks
- Q1b-i Solution of system of linear equations 7 marks
- Q1b-ii Subspaces 3 marks
- Q1c Indefinite integrals 10 marks
- Q1d Sphere 10 marks
- Q1e Shortest distance between two skew lines 10 marks
- Q2a-i Matrix of a linear transformation 10 marks
- Q2a-ii Matrix of a linear transformation 6 marks
- Q2b-i Eigenvalues and eigenvectors 8 marks
- Q2b-ii Hermitian and skew-Hermitian matrices 8 marks
- Q2c Matrix of a linear transformation 18 marks
- Q3a Lagrange's method of multipliers (constrained extrema) 20 marks
- Q3b Functions of two/three variables: limits, continuity 15 marks
- Q3c Areas, surface areas, volumes via integration 15 marks
- Q4a Second-degree equations in three variables 10 marks
- Q4b Cone 10 marks
- Q4c Double integrals 15 marks
- Q4d Second-degree equations in three variables 15 marks
- Q5a Particular integral via operator method 10 marks
- Q5b Scalar and Vector Fields 10 marks
- Q5c Linear first-order 10 marks
- Q5d Orthogonal trajectories (cartesian and polar) 10 marks
- Q5e Central force motion and Kepler's laws 10 marks
- Q6a Linear first-order 10 marks
- Q6b Method of variation of parameters 15 marks
- Q6c Euler-Cauchy equation 15 marks
- Q6d Laplace transform applied to IVP for second-order linear ODE with constant coefficients 10 marks
- Q7a Equilibrium of a system of particles 15 marks
- Q7b Equilibrium of a system of particles 15 marks
- Q7c Equilibrium of a system of particles 20 marks
- Q8a Gradient: definition, geometric meaning, computation 10 marks
- Q8b Stokes' theorem 10 marks
- Q8c Rectilinear motion under variable force 15 marks
- Q8d Curvature and torsion 15 marks