This course will provide a comprehensive, fast-paced introduction to Scientific Python. The course will run with theoretical classes, hands-on sessions and tutorials. We expect you to come to lectures and labs, ask questions when you get stuck, and develop a project taking advantage of tutorials. The course will have an intensive schedule, taking place mostly during the first month of the term.


math5012_scientific_python_syllabus_2016-2017.pdfmath5012_scientific_python_syllabus_2016-2017.pdf

Brief introduction to the course:

 

The course provides a gentle introduction into the theory (complex) of algebraic curves, by discussing a by now classical field related to real Riemann surfaces on the one hand, and providing a glimpse into the theory of algebraic varieties on the other hand.

 

The goals of the course:

 

The main goal of the course is to introduce students in the theory of complex affine/projective plane curves via their standard algebraic and topological invariants. We also intend to discuss different connections with knot theory, topology, and classical problems of algebraic curves.

 

The learning outcomes of the course:

By the end of the course, students are enabled to do independent study and research in fields touching on the topics of the course, and how to use these methods to solve specific problems. In addition, they develop some special expertise in the topics covered, which they can use efficiently in other mathematical fields, and in applications, as well. They also learn how the topic of the course is interconnected to various other fields in mathematics, and in science, in general.


ALGEBRAIC CURVES- A. Nemethi.docALGEBRAIC CURVES- A. Nemethi.doc

The course introduces the fundamental tools in probability theory.

probability1.docxprobability1.docx

Basic concepts and theorems are presented. Emphasis is put on familiarizing with the aims and methods of abstract algebra. Interconnectedness is underlined throughout. Applications are presented.

basic algebra1.docxbasic algebra1.docx

The main goal of the course is to introduce students to the most important advanced concepts and topics in abstract algebra.

By the end of the course, students are enabled to do independent study and research in fields touching on the topics of the course. In addition, they develop some special expertise in the topics covered, which they can use efficiently in other mathematical fields, and in applications, as well. They also learn how the topic of the course is interconnected to various other fields in mathematics, and in science, in general. 

Assessment: 

grade: weekly homework assignment, final exam

topics in algebra.docxtopics in algebra.docx

Basic concepts and fundamental theorems in functional analysis and measure theory are presented. 

Topics in analysis - tasnádi.docTopics in analysis - tasnádi.doc