2023 Paper 2
- Q1a Group homomorphisms: kernel, image 10 marks
- Q1b Subrings and ideals 10 marks
- Q1c Series of real terms: convergence, standard tests 10 marks
- Q1d Cauchy-Riemann equations (necessary and sufficient) 10 marks
- Q1e Graphical method 10 marks
- Q2a Cosets and Lagrange's theorem 15 marks
- Q2b Maxima and minima of multi-variable functions (analytic criteria) 15 marks
- Q2c Contour integration of real integrals using residues 20 marks
- Q3a Fields and finite fields 15 marks
- Q3b Harmonic functions and harmonic conjugate 15 marks
- Q3c Big-M / two-phase method (artificial variables) 20 marks
- Q4a Riemann integral 15 marks
- Q4b Singularities: removable, pole, essential 15 marks
- Q4c Assignment problem (Hungarian method) 20 marks
- Q5a Family of surfaces 10 marks
- Q5b Euler's method (and modified Euler) 10 marks
- Q5c-i Algebra of Binary Numbers 5 marks
- Q5c-ii Algebra of Binary Numbers 5 marks
- Q5d Hamilton's equations 10 marks
- Q5e Sources, sinks, doublets 10 marks
- Q6a Second-order linear PDEs with constant coefficients (CF, PI) 15 marks
- Q6b Gauss-Seidel iteration 15 marks
- Q6c Lagrange's equations 20 marks
- Q7a-i Boolean algebra 7.5 marks
- Q7a-ii Boolean algebra 7.5 marks
- Q7b Motion of rigid bodies in two dimensions 15 marks
- Q7c Wave equation 20 marks
- Q8a Classification and reduction to canonical form 15 marks
- Q8b Regula Falsi (False Position) 15 marks
- Q8c Navier-Stokes equation for a viscous fluid 20 marks