2017 Paper 2
- Q1a Sequences 10 marks
- Q1b Cayley's Theorem 10 marks
- Q1c Properties of Continuous Functions on Compact Sets 10 marks
- Q1d Singularities: removable, pole, essential 10 marks
- Q1e Graphical method 10 marks
- Q2a Fundamental theorems of integral calculus 15 marks
- Q2b Contour integration of real integrals using residues 15 marks
- Q2c Euclidean domains 20 marks
- Q3a Cyclic groups 15 marks
- Q3b Harmonic functions and harmonic conjugate 15 marks
- Q3c Simplex method (basic) 20 marks
- Q4a Taylor's Series for Analytic Functions 15 marks
- Q4b Transportation problem 15 marks
- Q4c Rearrangement of Series; Riemann's Theorem 20 marks
- Q5a Second-order linear PDEs with constant coefficients (CF, PI) 10 marks
- Q5b Gauss-Jordan method 10 marks
- Q5c Boolean algebra 10 marks
- Q5d Laplace equation: Dirichlet/Neumann, separation of variables 10 marks
- Q5e Moment of inertia 10 marks
- Q6a Charpit's method 15 marks
- Q6b Lagrange's interpolation 15 marks
- Q6c Lagrange's equations 20 marks
- Q7a Classification and reduction to canonical form 15 marks
- Q7b Simpson's 1/3 and 3/8 rules 20 marks
- Q7c Euler's equation of motion for inviscid flow 15 marks
- Q8a Wave equation 20 marks
- Q8b Newton-Raphson method (convergence, geometric meaning) 15 marks
- Q8c Potential flow 15 marks