2014 Paper 1
- Q1a Subspaces 10 marks
- Q1b Rank of a matrix 10 marks
- Q1c Mean-value theorems (Rolle, Lagrange, Cauchy) 10 marks
- Q1d Indefinite integrals 10 marks
- Q1e Cone 10 marks
- Q2a Bases and dimension; coordinates in a basis 15 marks
- Q2b-i Solution of system of linear equations 10 marks
- Q2b-ii Cayley-Hamilton theorem 10 marks
- Q2c Jacobian 15 marks
- Q3a Maxima and minima of single-variable functions 15 marks
- Q3b Lagrange's method of multipliers (constrained extrema) 20 marks
- Q3c-i Eigenvalues and eigenvectors 8 marks
- Q3c-ii Orthogonal and unitary matrices 7 marks
- Q4a-i Sphere 10 marks
- Q4a-ii Cone 10 marks
- Q4b Cone 15 marks
- Q4c Hyperboloid of one sheet 15 marks
- Q5a Exact equations 10 marks
- Q5b Variables separable 10 marks
- Q5c Simple harmonic motion (free, damped, forced) 10 marks
- Q5d Principle of virtual work 10 marks
- Q5e Curvature and torsion 10 marks
- Q6a Method of variation of parameters 10 marks
- Q6b Euler-Cauchy equation 20 marks
- Q6c Stokes' theorem 20 marks
- Q7a Reduction of order with one solution known 15 marks
- Q7b Constrained motion 15 marks
- Q7c Equilibrium of a system of particles 20 marks
- Q8a Exact equations 15 marks
- Q8b Rectilinear motion under variable force 15 marks
- Q8c Laplace transform applied to IVP for second-order linear ODE with constant coefficients 20 marks