M21B - Analysis and Mathematical Methods II |  |
This course uses the following course codes:
- MATH 2160
- M21B
Number of credits: 4
This course has the following prerequisites:
This course has no corequisites.
The assessment for the course is as follows:
This course has coursework assessment.
In course assignments weight: 30%
Final exam: 70%
Course syllabus
- The Laplace transform and applications to differential equations, integral and difference equations
- Ordinary linear differential equations
Wronskian, Linear Independence existence and uniqueness(no proofs)
- Classification of points of second-order differential equations
Series solutions about ordinary and regular singular points
- Fourier series
Solution of the two-dimensional heat wave and Laplace equation using the separation of variables technique
- Functions of a single complex variable
continuity differentiability analyticity and the Cauchy-Riemann equations
- Cauchy's theorem and integral formulae
- Singularities and their classification
- Residue theorem and its applications to the evaluation of definite integrals
