Mathematical Methods II

This is a mathematical methods course that considers the following topics: Laplace transforms, vector calculus, multiple integration and integral theorems.

Learning Outcomes
1. calculate the Laplace transforms of some elementary functions;
2. calculate the inverse Laplace transform of some elementary functions using standard techniques;
3. solve various initial value problems for ordinary differential equations using Laplace transforms;
4. calculate the gradient and directional derivative of a scalar field and be able to interpret these quantities;
5. calculate the divergence and curl of a vector field and be able to interpret these quantities;
6. find the normal of a surface, find the tangent plane to a surface, and calculate surface integrals;
7. calculate volume integrals and be able to verify the divergence theorem for elementary volumes and vector fields.