Exam Layout

Answer four questions: each worth the same marks.

1. Multiple Topics Question

(a) Interpolation (b) Linear Algebra (c) Laplace Methods

2. Interpolation

Finite Difference Methods, Least Squares, Lagrangian Interpolation

3. Linear Algebra

Gaussian Elimination with and without partial pivoting, Cramer’s Rule, Jacobi’s Method, Gauss-Siedel Method

4. Laplace Methods

Three differential equations

5.  Multiple Integration

line integrals, double integrals with applications including second moment of area, triple integrals.