2021 Paper 2
- Q1a Groups: definition, axioms, examples 10 marks
- Q1b Uniform convergence of series 10 marks
- Q1c Riemann integral 10 marks
- Q1d Cauchy's residue theorem 10 marks
- Q1e Assignment problem (Hungarian method) 10 marks
- Q2a Maxima and minima of single-variable functions 15 marks
- Q2b Fields and finite fields 15 marks
- Q2c Laurent's series in an annulus 20 marks
- Q3a Singularities: removable, pole, essential 15 marks
- Q3b Maxima and minima of multi-variable functions (analytic criteria) 20 marks
- Q3c Duality 15 marks
- Q4a Subgroups; Subgroup Criterion 15 marks
- Q4b Contour integration of real integrals using residues 20 marks
- Q4c Big-M / two-phase method (artificial variables) 15 marks
- Q5a Family of surfaces 10 marks
- Q5b Newton-Raphson method (convergence, geometric meaning) 10 marks
- Q5c-i Number systems 5 marks
- Q5c-ii Boolean algebra 5 marks
- Q5d D'Alembert's Principle 10 marks
- Q5e Sources, sinks, doublets 10 marks
- Q6a Wave equation 20 marks
- Q6b Boolean algebra 15 marks
- Q6c Lagrange's equations 15 marks
- Q7a Second-order linear PDEs with constant coefficients (CF, PI) 15 marks
- Q7b Gauss-Seidel iteration 15 marks
- Q7c Potential flow 20 marks
- Q8a Cauchy's method of characteristics 15 marks
- Q8b Newton's Backward Difference Interpolation 15 marks
- Q8c Potential flow 20 marks