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Mathematical Methods II
University of Galway - Engineering & Computer Science Program
Galway, Ireland
Dates: 1/3/23 - 5/6/23
Mathematical Methods II
OVERVIEW
CEA CAPA Partner Institution: University of Galway
Location: Galway, Ireland
Primary Subject Area: Mathematics
Other Subject Area: Physics
Instruction in: English
Course Code: MP232
Transcript Source: Partner Institution
Course Details: Level 200
Recommended Semester Credits: 2.5
Contact Hours: 36
DESCRIPTION
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.
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.