Learning Outcomes:
Students are expected to achieve the following competence:
• Computing double integrals in right coordinates, especially iterated integrals;
• Computing double integrals in polar coordinates;
• Computing triple integrals in right coordinates;
• Computing triple integrals in cylindrical and spherical coordinates;
• Being able to recognize some particular types of first and second order ODEs, and to find their solutions. Emphasis is placed on the geometric meaning of the equations and solutions.
• Achieving the basic knowledge of orthogonal functions, being able to compute the Fourier series of a period function in terms of sinusoidal functions.
• To acquire basic knowledge about integration transforms, and be able to perform the Fourier transform.
Indicative Module Content:
Teaching Plan
Week 9 Double integrals in Rt coordinates.
Week10 Double integrals in polar coordinates, and triple integrals in Rt coordinates.
Week11 Triple integrals in Rt, cylindrical and spherical coordinates.
Week12 First order ODEs: different types, and geometric and practical meaning of the solutions.
Week13 Second order ODEs: different types, and geometric and practical meaning of the solutions.
Week14 Orthogonal functions; Fourier series for period functions.
Week15 Integration transforms; Fourier transforms for aperiodic functions.
Week16 Revision.
* Tutorials will be held every week.