The course is practice-oriented. It is supplemented with many problems aimed at assisting the understanding of lecture materials. Each problem, in turn, is supplemented with a detailed solution. The topics covered: 1. Complex algebra, complex differentiation, simple conformal mappings. 2. Taylor and Laurent expansion. 3. Residue theory. Integration of contour and real integrals with the help of residues. 4. Multivalued functions and regular branches 5. Analytic continuation and Riemann surfaces. 6. Integrals with multivalued functions. The course includes two tracks. The free track allows the learner to access all the materials from the course. The “verified certificate” track allows the learner to 1. access additional non-trivial problems from the course. 2. access the detailed solutions to all the problems inside the course at the end of each week. 3. get an official certificate from the university on completion of the course.
An excellent online course offered by edX: how it works
edX courses consist of weekly learning sequences. Each learning sequence is composed of short videos interspersed with interactive learning exercises, where students can immediately practise the concepts from the videos. The courses often include tutorial videos that are similar to small on-campus discussion groups, an online textbook, and an online discussion forum where students can post and review questions and comments to each other and teaching assistants. Where applicable, online laboratories are incorporated into the course.
edX offers certificates of successful completion and some courses are credit-eligible. Whether or not a college or university offers credit for an online course is within the sole discretion of the school. edX offers a variety of ways to take courses, including verified courses where students have the option to audit the course (no cost) or to work toward an edX Verified Certificate (fees vary by course). edX also offers XSeries Certificates for completion of a bundled set of two to seven verified courses in a single subject (cost varies depending on the courses).
An edX learning programme under Other Experiences