2020 Paper 1
- Q1a Subspaces 10 marks
- Q1b Rank and nullity; rank-nullity theorem 10 marks
- Q1c Indeterminate forms 10 marks
- Q1d Asymptotes 10 marks
- Q1e Ellipsoid 10 marks
- Q2a Indefinite integrals 15 marks
- Q2b Orthogonal and unitary matrices 20 marks
- Q2c Cylinder 15 marks
- Q3a Maxima and minima of single-variable functions 20 marks
- Q3b Rank and nullity; rank-nullity theorem 15 marks
- Q3c Cone 15 marks
- Q4a Solution of system of linear equations 15 marks
- Q4b Paraboloid (elliptic and hyperbolic) 15 marks
- Q4c Lagrange's method of multipliers (constrained extrema) 20 marks
- Q5a Homogeneous Equations and Reduction 10 marks
- Q5b Orthogonal trajectories (cartesian and polar) 10 marks
- Q5c Curl: definition, physical meaning, computation 10 marks
- Q5d Equilibrium of a system of particles 10 marks
- Q5e Motion in a Plane (Resolved Components / Polar) 10 marks
- Q6a Method of variation of parameters 20 marks
- Q6b Line integrals 15 marks
- Q6c Equilibrium of a system of particles 15 marks
- Q7a Stokes' theorem 20 marks
- Q7b Properties of Laplace transform (linearity, shift, derivative, convolution) 10 marks
- Q7c-i Principle of virtual work 10 marks
- Q7c-ii Orbits under inverse-square central force 10 marks
- Q8a-i Euler-Cauchy equation 10 marks
- Q8a-ii First-order higher-degree ODEs 10 marks
- Q8b Stokes' theorem 15 marks
- Q8c Constrained motion 15 marks