2026 Paper 2
- Q1a Cosets and Lagrange's theorem 10 marks
- Q1b Euclidean domains 10 marks
- Q1c Continuity of Functions on R; Epsilon-Delta 10 marks
- Q1d Cauchy-Riemann equations (necessary and sufficient) 10 marks
- Q1e Duality 10 marks
- Q2a Groups: definition, axioms, examples 15 marks
- Q2b Sequences 15 marks
- Q2c Contour integration of real integrals using residues 20 marks
- Q3a Laurent's series in an annulus 15 marks
- Q3b Riemann integral 20 marks
- Q3c Assignment problem (Hungarian method) 15 marks
- Q4a Integral domains; characteristic 15 marks
- Q4b Improper integrals (analysis perspective) 15 marks
- Q4c Simplex method (basic) 20 marks
- Q5a Quasilinear first-order PDEs (Lagrange's method) 10 marks
- Q5b Newton-Raphson method (convergence, geometric meaning) 10 marks
- Q5c Logic gates and truth tables 10 marks
- Q5d Sources, sinks, doublets 10 marks
- Q5e Motion of rigid bodies in two dimensions 10 marks
- Q6a Classification and reduction to canonical form 20 marks
- Q6b-i Representation of Integers, Signed Integers, and Reals (incl. Double Precision) 8 marks
- Q6b-ii Number systems 7 marks
- Q6c Two-Dimensional and Axisymmetric Flow 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 Lagrange's equations 20 marks
- Q8a Laplace equation: Dirichlet/Neumann, separation of variables 15 marks
- Q8b Runge-Kutta methods (RK2/RK4) 15 marks
- Q8c Navier-Stokes equation for a viscous fluid 20 marks