Featured Programs
Experiential Learning Opportunities
Claim up to $1,000 in flight credits!
Get up to $1,000 in flight credits or grants toward study or internship programs abroad when you apply by January 01, 2025. See our Official Rules for full details.
Mathematical Methods II
University of Galway - Direct Enroll Program
Galway, Ireland
Dates: early Jan 2026 - mid May 2026
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.