2018 Paper 2
- Q1a Integral domains; characteristic 10 marks
- Q1b Riemann integral 10 marks
- Q1c Harmonic functions and harmonic conjugate 10 marks
- Q1d Absolute and conditional convergence 10 marks
- Q1e LPP: standard form; basic, basic feasible, optimal solutions 10 marks
- Q2a Isomorphism theorems (First, Second, Third) 15 marks
- Q2b Big-M / two-phase method (artificial variables) 20 marks
- Q2c Continuity of Functions on R; Epsilon-Delta 15 marks
- Q3a Cyclic groups 20 marks
- Q3b Contour integration of real integrals using residues 15 marks
- Q3c LPP: standard form; basic, basic feasible, optimal solutions 15 marks
- Q4a Real number system as ordered field with LUB property 20 marks
- Q4b Laurent's series in an annulus 15 marks
- Q4c Assignment problem (Hungarian method) 15 marks
- Q5a Family of surfaces 10 marks
- Q5b Newton's forward difference interpolation 10 marks
- Q5c Equation of Continuity 10 marks
- Q5d Simpson's 1/3 and 3/8 rules 10 marks
- Q5e Bisection Method (Convergence, Error) 10 marks
- Q6a Quasilinear first-order PDEs (Lagrange's method) 15 marks
- Q6b Number systems 15 marks
- Q6c Lagrange's equations 20 marks
- Q7a Second-order linear PDEs with constant coefficients (CF, PI) 15 marks
- Q7b Gaussian quadrature 15 marks
- Q7c Hamilton's equations 20 marks
- Q8a Boolean algebra 15 marks
- Q8b Potential flow 15 marks
- Q8c Laplace equation: Dirichlet/Neumann, separation of variables 20 marks