2018 Paper 1
- Q1a Rank of a matrix 10 marks
- Q1b Bases and dimension; coordinates in a basis 10 marks
- Q1c Indeterminate forms 10 marks
- Q1d Riemann Definite Integral; Integrability 10 marks
- Q1e Straight lines in 3D 10 marks
- Q2a Congruence and similarity of matrices 12 marks
- Q2b Maxima and minima of single-variable functions 13 marks
- Q2c Areas, surface areas, volumes via integration 13 marks
- Q2d Shortest distance between two skew lines 12 marks
- Q3a Solution of system of linear equations 13 marks
- Q3b Partial derivatives 12 marks
- Q3c Paraboloid (elliptic and hyperbolic) 13 marks
- Q3d Sphere 12 marks
- Q4a Maxima and minima of single-variable functions 13 marks
- Q4b Double integrals 12 marks
- Q4c Cone 13 marks
- Q4d Plane 12 marks
- Q5a Particular integral via operator method 10 marks
- Q5b Curves in space: tangent, normal, binormal 10 marks
- Q5c Particular integral via operator method 10 marks
- Q5d-i Laplace transform 5 marks
- Q5d-ii Inverse Laplace transform 5 marks
- Q5e Projectile motion 10 marks
- Q6a First-order higher-degree ODEs 13 marks
- Q6b Simple harmonic motion (free, damped, forced) 12 marks
- Q6c Method of variation of parameters 13 marks
- Q6d Gauss divergence theorem 12 marks
- Q7a Euler-Cauchy equation 13 marks
- Q7b Curvature and torsion 12 marks
- Q7c Linear ODE with constant coefficients 13 marks
- Q7d Exact equations 12 marks
- Q8a Vector identities (curl of grad, div of curl, product rules) 12 marks
- Q8b Stokes' theorem 13 marks
- Q8c Line integrals 13 marks
- Q8d Exact equations 12 marks