PřF:MDA101 Mathematics I - Course Information
MDA101 Mathematics I
Faculty of ScienceAutumn 2024
- Extent and Intensity
- 0/0/0. 12 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. Dr. Ioannis Chrysikos (lecturer)
prof. RNDr. Jan Slovák, DrSc. (lecturer) - Guaranteed by
- prof. RNDr. Jan Slovák, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - Prerequisites
- no prerequisites
- Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- Basic introductory course of the Mathematics block of the programme. The five courses aim at the development of basic skills and knowledge in all four main approaches: algebraic, geometric, combinatorial, and infinitesimal, as well as the ability to enjoy computer-assisted solutions to problems. This course focuses on discrete tools and matrix calculus, as well as analytic geometry.
- Learning outcomes
- mathematical approach to deductive thinking;
proper formulation of mathematical concepts and results;
matrix calculus and linear algebra and their simple applications;
distinguishing between claims and proofs;
computer assisted approach to simple discrete modelling - Syllabus
- overview of basic concepts of Mathematics (combinatorial, algebraic, geometric, the language of Mathematics - 4 weeks);
elements of linear algebra and geometry (3 weeks);
matrix calculus and applications (intro to linear programming, difference equations, iterative models, spectral matrix theory - 3 weeks);
analytic geometry (affine, Euclidean and projective geometries, multilinear calculus - 3 weeks)
- overview of basic concepts of Mathematics (combinatorial, algebraic, geometric, the language of Mathematics - 4 weeks);
- Literature
- Jan Slovák et al, Brisk Guide to Mathematics, www.math.muni.cz/~slovak/BG.pdf, Chapters 1-4
- Ioannis Chrysikos et al, Script Project in Sage, available online, in preparation
- Teaching methods
- essentially asynchronous approach, based on introductory short presentations plus homework assignments, complete pdf materials, and Sage/Matlab supported tutorials;
complemented by synchronous communication with the tutor upon agreement - Assessment methods
- weekly homework assignments during the semester, including peer to peer reviews;
active presentation of some homeworks to the lecturer/tutor;
one short synchronously written assignments during the term;
one final synchronously written assignment, followed by colloquial discussions/exams in small groups - Language of instruction
- English
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually.
The course is taught: every week.
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/sci/autumn2024/MDA101