Mathematics I
prof. RNDr. Jan Slovák, DrSc.
Mathematics I
prof. RNDr. Jan Slovák, DrSc.
Mathematics I
Info
Course
Term
Autumn 2024

This is one of the two main Maths courses designed for the very first semester of the study.

We shall shape the individual weeks together. The work will be based on individually solved tasks and discussions, covering the following schedule: an overview of basic concepts of Mathematics (combinatorial, algebraic, geometric, the language of Mathematics - 2 weeks);  elements of linear algebra and geometry (3 weeks); matrix calculus and applications (intro to linear programming, difference equations, iterative models, spectral matrix theory - 5 weeks); analytic geometry (affine, Euclidean and projective geometries, multilinear calculus - 4 weeks.

Everything is covered in the text available at www.math.muni.cz/~slovak/BG.pdf.

In the following video, I have tried to present essential comments and explanation towards the entire Data Analytics programme, and how to understand and handle the basic block of the Maths courses MDA101+MDA102+MDA201+MDA202+MDA301. Please come back to me via email in case of any doubts.

DA ini

1. Scalars, functions, value, probability
Open
Chapter contains:
1
PDF
2
Study Materials
5
Video
1
Study text
2
Web
Teacher recommends to study from 16/9/2024 to 22/9/2024.
2. Position in plane, geometry and matrix calculus, Mathematics as language
Open
Chapter contains:
1
PDF
1
Study Materials
4
Video
1
Study text
Teacher recommends to study from 23/9/2024 to 29/9/2024.
3. Matrix calculus and solving equations with general scalars
Open
Chapter contains:
1
PDF
2
Video
1
Study text
Teacher recommends to study from 30/9/2024 to 6/10/2024.
4. Abstract vector spaces and morphisms
Open
Chapter contains:
1
PDF
2
Video
1
Study text
Teacher recommends to study from 7/10/2024 to 13/10/2024.
5. Linear mappings and matrix calculus, scalar products and orthogonality, properties of linear mappings
Open
Chapter contains:
1
PDF
4
Video
1
Study text
Teacher recommends to study from 14/10/2024 to 20/10/2024.
6. Elements of linear programming
Open
Chapter contains:
1
PDF
1
Video
1
Study text
Teacher recommends to study from 21/10/2024 to 27/10/2024.
7. Linear difference equations and filters, iterative models, discrete Markov chains
Open
Chapter contains:
3
Video
1
Study text
Teacher recommends to study from 28/10/2024 to 3/11/2024.
Study now
8. Spectral theory for operators and matrices
Open
Teacher recommends to study now - from 4/11/2024 to 10/11/2024.
9. Spectral theory - continuation, and Jordan canonical form
Open
Teacher recommends to study from 11/11/2024 to 17/11/2024.
10. Decompositions and canonical forms for matrices and operators
Open
Teacher recommends to study from 18/11/2024 to 24/11/2024.
11. Affine geometry
Open
Teacher recommends to study from 25/11/2024 to 1/12/2024.
12. Euclidean geometry
Open
Teacher recommends to study from 2/12/2024 to 8/12/2024.
13. Quadratic forms and quadrics
Open
Teacher recommends to study from 9/12/2024 to 15/12/2024.
14. Projective geometry
Open
Teacher recommends to study from 16/12/2024 to 22/12/2024.
MUNI 3.2.1 DataAnalytics
Předmět vznikl za finanční podpory projektu Data Analytics NPO MUNI 3.2.1 DataAnalytics NPO_MUNI_MSMT-16606/2022

Previous
Next