2022 Paper 2
- Q1a Cyclic groups 10 marks
- Q1b Harmonic functions and harmonic conjugate 10 marks
- Q1c Improper integrals (analysis perspective) 10 marks
- Q1d Laurent's series in an annulus 10 marks
- Q1e Big-M / two-phase method (artificial variables) 10 marks
- Q2a Riemann integral 15 marks
- Q2b Isomorphism theorems (First, Second, Third) 15 marks
- Q2c Contour integration of real integrals using residues 20 marks
- Q3a Cauchy's residue theorem 15 marks
- Q3b Maxima and minima of multi-variable functions (analytic criteria) 20 marks
- Q3c Simplex method (basic) 15 marks
- Q4a Subrings and ideals 15 marks
- Q4b Series of real terms: convergence, standard tests 15 marks
- Q4c Transportation problem 20 marks
- Q5a Family of surfaces 10 marks
- Q5b Gaussian Elimination 10 marks
- Q5c-i Number systems 5 marks
- Q5c-ii Boolean algebra 5 marks
- Q5d Lagrange's equations 10 marks
- Q5e Potential flow 10 marks
- Q6a Heat equation 20 marks
- Q6b Logic gates and truth tables 15 marks
- Q6c Moment of inertia 15 marks
- Q7a Second-order linear PDEs with constant coefficients (CF, PI) 15 marks
- Q7b Simpson's 1/3 and 3/8 rules 15 marks
- Q7c Vortex motion; circulation 20 marks
- Q8a Classification and reduction to canonical form 15 marks
- Q8b Runge-Kutta methods (RK2/RK4) 15 marks
- Q8c Vortex motion; circulation 20 marks