Riadok 19: | Riadok 19: | ||
!Lecturer | !Lecturer | ||
|- | |- | ||
− | |Lecture/ | + | |Lecture/Exercise |
− | | | + | |Wednesday |
− | | | + | |08:10 |
− | |M- | + | |M-VII |
− | |[[Martina | + | |[[Martina Babinská|Martina Babinská]] |
|- | |- | ||
− | | | + | |Exercise/Lecture |
|Thursday | |Thursday | ||
− | | | + | |13:10 |
− | |M- | + | |M-VII |
− | |[[Martina | + | |[[Martina Babinská|Martina Babinská]] |
|} | |} | ||
Riadok 39: | Riadok 39: | ||
!References | !References | ||
|- | |- | ||
− | | | + | |27.09. |
|Introduction. The basics of logic and proving methods: propositional logic. | |Introduction. The basics of logic and proving methods: propositional logic. | ||
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | |Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | ||
Riadok 45: | Riadok 45: | ||
|- | |- | ||
− | | | + | |03.10. |
− | |The basics of logic and proving methods: predicate logic. | + | |The basics of logic and proving methods: propositional + predicate logic. |
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | |Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | ||
Rose-Hulman Institute of Technology: Pearson, 2004; [http://ceiucaweb.com.ar/documentos/6-informatica/3er-anio-2do-cuatri/estructura-de-datos/apunte/Discrete_and_Combinatorial_Mathematics_5th_ed_-_R._Grimaldi.pdf Download here]; chap. 2.4 | Rose-Hulman Institute of Technology: Pearson, 2004; [http://ceiucaweb.com.ar/documentos/6-informatica/3er-anio-2do-cuatri/estructura-de-datos/apunte/Discrete_and_Combinatorial_Mathematics_5th_ed_-_R._Grimaldi.pdf Download here]; chap. 2.4 | ||
|- | |- | ||
− | | | + | |04.10. |
|The basics of logic and proving methods: Sets (sets of numbers, set theory, set operations, the laws of set theory) | |The basics of logic and proving methods: Sets (sets of numbers, set theory, set operations, the laws of set theory) | ||
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | |Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | ||
Riadok 57: | Riadok 57: | ||
|- | |- | ||
− | | | + | |10.10. |
− | |The basics of logic and proving methods: | + | |The basics of logic and proving methods: Proving methods (constructive, direct, contrapositive, contradiction, biconditional, mathematical induction) |
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | |Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | ||
Rose-Hulman Institute of Technology: Pearson, 2004; [http://ceiucaweb.com.ar/documentos/6-informatica/3er-anio-2do-cuatri/estructura-de-datos/apunte/Discrete_and_Combinatorial_Mathematics_5th_ed_-_R._Grimaldi.pdf Download here]; chap. 2, 3, 4.1 | Rose-Hulman Institute of Technology: Pearson, 2004; [http://ceiucaweb.com.ar/documentos/6-informatica/3er-anio-2do-cuatri/estructura-de-datos/apunte/Discrete_and_Combinatorial_Mathematics_5th_ed_-_R._Grimaldi.pdf Download here]; chap. 2, 3, 4.1 | ||
|- | |- | ||
− | | | + | |11.10. |
− | | | + | |Counting methods for Rows |
+ | |Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi. | ||
+ | Rose-Hulman Institute of Technology: Pearson, 2004; [http://ceiucaweb.com.ar/documentos/6-informatica/3er-anio-2do-cuatri/estructura-de-datos/apunte/Discrete_and_Combinatorial_Mathematics_5th_ed_-_R._Grimaldi.pdf Download here]; | ||
|- | |- | ||
− | | | + | |17.10. |
− | |The basics of mathematical analysis: | + | |The basics of mathematical analysis: mathematical function vs dependency (definition, mathematical functions in the real world ) |
+ | |- | ||
+ | |18.10. | ||
+ | |The basics of mathematical analysis: mathematical function (graph vs. formula, basic mathematical functions, basic characteristics) | ||
|- | |- | ||
− | | | + | |24.10. |
− | |The basics of mathematical analysis: | + | |The basics of mathematical analysis: mathematical function (quadratic function, monotonicity, boundary, extremes) |
− | + | ||
|- | |- | ||
− | | | + | |25.10. |
− | |The basics of mathematical analysis: | + | |The basics of mathematical analysis: mathematical function (continuity, limit) |
− | + | ||
|- | |- | ||
− | | | + | |31.10. |
− | |The basics of mathematical analysis: | + | |The basics of mathematical analysis: calculus (the rate of change, derivative definition, derivative in the real world) |
− | + | ||
|- | |- | ||
− | | | + | |07.11. |
− | |The basics of mathematical analysis: | + | |The basics of mathematical analysis: calculus (derivative counting rules) |
− | + | ||
|- | |- | ||
− | | | + | |08.11. |
− | |The basics of mathematical analysis: | + | |The basics of mathematical analysis: calculus (maximum and minimum problem, convex and concave problem) |
− | + | ||
|- | |- | ||
− | | | + | |14.11. |
− | |The basics of | + | |The basics of mathematical analysis: calculus (the chain rule, functions’ characteristics in a view of derivative) |
− | + | ||
|- | |- | ||
− | | | + | |15.11. |
− | |Repeating class | + | |Repeating and practicing class |
|- | |- | ||
− | | | + | |21.11. |
|Middle term writing test | |Middle term writing test | ||
|- | |- | ||
− | | | + | |22.11. |
− | |The basics of linear algebra: Matrix and Vector | + | |The basics of linear algebra: The basic problem of linear algebra (Matrix and Vector) |
− | + | ||
|- | |- | ||
− | | | + | |28.11. |
− | |The basics of linear algebra: | + | |The basics of linear algebra: The basic problem of linear algebra (vector operations, linear combination) |
− | + | ||
|- | |- | ||
− | | | + | |29.11. |
− | |The basics of linear algebra: | + | |The basics of linear algebra: Matrices (basic operations) |
− | | | + | |
− | |} | + | |- |
+ | |05.12. | ||
+ | |The basics of linear algebra: Matrices (Gaussian Reduction) | ||
+ | |||
+ | |- | ||
+ | |06.12. | ||
+ | |The basics of linear algebra: Matrices (Advanced operations) | ||
+ | |||
+ | |- | ||
+ | |12.12. | ||
+ | |The basics of linear algebra: Matrices (eigenvalues, eigenvectors) | ||
+ | |||
+ | |- | ||
+ | |13.12. | ||
+ | |The basics of probability: Introduction (probability in the real world, definition) | ||
+ | |||
+ | |- | ||
+ | |13.12. | ||
+ | |The basics of probability: Introduction (counting basics) | ||
+ | |||
+ | |- | ||
+ | |20.12. | ||
+ | |Repeating and practicing | ||
+ | } | ||
Verzia zo dňa a času 10:46, 27. september 2018
Mathematics for Cognitive Science 2-IKVa-102
Obsah
The lectures will provide students with basics of propositional and predicate logic, linear algebra, mathematical analysis, and probability that are important for the study of informatics and its role in (computational) cognitive science. At the same time, students will learn about mathematical culture, notation, way of thinking and expressing oneself.
Course schedule
Type | Day | Time | Room | Lecturer |
---|---|---|---|---|
Lecture/Exercise | Wednesday | 08:10 | M-VII | Martina Babinská |
Exercise/Lecture | Thursday | 13:10 | M-VII | Martina Babinská |
Syllabus
Date | Topic | References | ||||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
27.09. | Introduction. The basics of logic and proving methods: propositional logic. | Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
Rose-Hulman Institute of Technology: Pearson, 2004; Download here; chap. 2.1, 2.2 | ||||||||||||||||||||||||||||||||
03.10. | The basics of logic and proving methods: propositional + predicate logic. | Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
Rose-Hulman Institute of Technology: Pearson, 2004; Download here; chap. 2.4 | ||||||||||||||||||||||||||||||||
04.10. | The basics of logic and proving methods: Sets (sets of numbers, set theory, set operations, the laws of set theory) | Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
Rose-Hulman Institute of Technology: Pearson, 2004; Download here; chap. 3.1, 3.2 | ||||||||||||||||||||||||||||||||
10.10. | The basics of logic and proving methods: Proving methods (constructive, direct, contrapositive, contradiction, biconditional, mathematical induction) | Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
Rose-Hulman Institute of Technology: Pearson, 2004; Download here; chap. 2, 3, 4.1 | ||||||||||||||||||||||||||||||||
11.10. | Counting methods for Rows | Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
Rose-Hulman Institute of Technology: Pearson, 2004; Download here; | ||||||||||||||||||||||||||||||||
17.10. | The basics of mathematical analysis: mathematical function vs dependency (definition, mathematical functions in the real world ) | |||||||||||||||||||||||||||||||||
18.10. | The basics of mathematical analysis: mathematical function (graph vs. formula, basic mathematical functions, basic characteristics) | |||||||||||||||||||||||||||||||||
24.10. | The basics of mathematical analysis: mathematical function (quadratic function, monotonicity, boundary, extremes) | |||||||||||||||||||||||||||||||||
25.10. | The basics of mathematical analysis: mathematical function (continuity, limit) | |||||||||||||||||||||||||||||||||
31.10. | The basics of mathematical analysis: calculus (the rate of change, derivative definition, derivative in the real world) | |||||||||||||||||||||||||||||||||
07.11. | The basics of mathematical analysis: calculus (derivative counting rules) | |||||||||||||||||||||||||||||||||
08.11. | The basics of mathematical analysis: calculus (maximum and minimum problem, convex and concave problem) | |||||||||||||||||||||||||||||||||
14.11. | The basics of mathematical analysis: calculus (the chain rule, functions’ characteristics in a view of derivative) | |||||||||||||||||||||||||||||||||
15.11. | Repeating and practicing class | |||||||||||||||||||||||||||||||||
21.11. | Middle term writing test | |||||||||||||||||||||||||||||||||
22.11. | The basics of linear algebra: The basic problem of linear algebra (Matrix and Vector) | |||||||||||||||||||||||||||||||||
28.11. | The basics of linear algebra: The basic problem of linear algebra (vector operations, linear combination) | |||||||||||||||||||||||||||||||||
29.11. | The basics of linear algebra: Matrices (basic operations) | |||||||||||||||||||||||||||||||||
05.12. | The basics of linear algebra: Matrices (Gaussian Reduction) | |||||||||||||||||||||||||||||||||
06.12. | The basics of linear algebra: Matrices (Advanced operations) | |||||||||||||||||||||||||||||||||
12.12. | The basics of linear algebra: Matrices (eigenvalues, eigenvectors) | |||||||||||||||||||||||||||||||||
13.12. | The basics of probability: Introduction (probability in the real world, definition) | |||||||||||||||||||||||||||||||||
13.12. | The basics of probability: Introduction (counting basics) | |||||||||||||||||||||||||||||||||
20.12. | Repeating and practicing
}
Homework
References
Rose-Hulman Institute of Technology: Pearson, 2004. Download here;
Course gradingTo be classified student has to achieve at least 50% of every activity: PROJECT
WEEKLY EXAMS
MIDDLE TERM EXAM
FINAL EXAM
OVERALL GRADING: A > 90%, B > 80%, C> 70%, D > 60%, E > 52% points.
Information list |