2013 Paper 1
- Q1a Inverse of a matrix (adjoint and row reduction) 10 marks
- Q1b Hermitian and skew-Hermitian matrices 10 marks
- Q1c Indefinite integrals 10 marks
- Q1d Plane 10 marks
- Q1e Sphere 10 marks
- Q2a-i Matrix of a linear transformation 10 marks
- Q2a-ii Linear transformations 8 marks
- Q2b-i Eigenvalues and eigenvectors 8 marks
- Q2b-ii Rank of a matrix 8 marks
- Q2c-i Hermitian and skew-Hermitian matrices 8 marks
- Q2c-ii Linear dependence and independence 8 marks
- Q3a Lagrange's method of multipliers (constrained extrema) 20 marks
- Q3b Partial derivatives 15 marks
- Q3c Double integrals 15 marks
- Q4a Sphere 15 marks
- Q4b Cone 15 marks
- Q4c Hyperboloid of one sheet 20 marks
- Q5a Variables separable 10 marks
- Q5b Orthogonal trajectories (cartesian and polar) 10 marks
- Q5c Simple harmonic motion (free, damped, forced) 10 marks
- Q5d Friction (limiting friction) 10 marks
- Q5e Curves in space: tangent, normal, binormal 10 marks
- Q6a Exact equations 10 marks
- Q6b Method of variation of parameters 10 marks
- Q6c Euler-Cauchy equation 15 marks
- Q6d Laplace transform applied to IVP for second-order linear ODE with constant coefficients 15 marks
- Q7a Constrained motion 20 marks
- Q7b Friction (limiting friction) 15 marks
- Q7c Equilibrium of a system of particles 15 marks
- Q8a Higher order derivatives; Laplacian 10 marks
- Q8b Differentiation of a vector function of a scalar variable 10 marks
- Q8c Gauss divergence theorem 15 marks
- Q8d Stokes' theorem 15 marks