2014 Paper 2
- Q1a Normal subgroups; quotient groups 10 marks
- Q1b Improper integrals (analysis perspective) 10 marks
- Q1c Cauchy-Riemann equations (necessary and sufficient) 10 marks
- Q1d Laurent's series in an annulus 10 marks
- Q1e Graphical method 10 marks
- Q2a Fields and finite fields 15 marks
- Q2b Riemann integral 15 marks
- Q2c Transportation problem 20 marks
- Q3a Fields and finite fields 15 marks
- Q3b Partial derivatives; equality of mixed partials (Schwarz) 15 marks
- Q3c Contour integration of real integrals using residues 20 marks
- Q4a Rings: Definition, Axioms, Examples 15 marks
- Q4b Maxima and minima of multi-variable functions (analytic criteria) 15 marks
- Q4c Simplex method (basic) 20 marks
- Q5a Second-order linear PDEs with constant coefficients (CF, PI) 10 marks
- Q5b Newton-Raphson method (convergence, geometric meaning) 10 marks
- Q5c Trapezoidal rule (composite; error) 10 marks
- Q5d Logic gates and truth tables 10 marks
- Q5e Hamilton's equations 10 marks
- Q6a Classification and reduction to canonical form 15 marks
- Q6b Gauss-Seidel iteration 15 marks
- Q6c Runge-Kutta methods (RK2/RK4) 20 marks
- Q7a Wave equation 15 marks
- Q7b Algorithms and flowcharts for numerical analysis problems 15 marks
- Q7c Potential flow 20 marks
- Q8a Wave equation 15 marks
- Q8b Boolean algebra 15 marks
- Q8c Navier-Stokes equation for a viscous fluid 20 marks