MAU23403 Equations of mathematical physics I
| Module Code | MAU23403 |
|---|---|
| Module Title | Equations of mathematical physics I |
| Semester taught | Semester 1 |
| ECTS Credits | 5 |
| Module Lecturer | Prof. Manya Sahni |
| Module Prerequisites | MAU11202 Advanced calculus |
Assessment Details
- This module is examined in a 2-hour examination at the end of Semester 1.
- Continuous assessment contributes 20% towards the overall mark.
- Any failed components are reassessed, if necessary, by an exam in the reassessment session.
Contact Hours
11 weeks of teaching with 3 lectures per week.
Learning Outcomes
On successful completion of this module, students will be able to
- Compute the real and complex Fourier series of a given periodic function.
- Evaluate the Fourier transform of a given non-periodic function.
- Evaluate integrals which involve the Dirac delta distribution.
- Compute the gradient of a given scalar field.
- Compute the divergence and curl of a given vector field.
- Calculate line and surface integrals.
- Apply their knowledge to relevant problems in mathematics and physics.
Module Content
- Fourier series and Fourier integrals.
- Differential equations, generic linear and nonlinear ODEs, Frobenius method.
- Vector calculus.
- Statement of the theorems of Green, Stokes and Gauss.