(Course schedule)
 
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__TOC__
 
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The lectures will provide students with basics of propositional and
+
The lectures will provide students with the basics of propositional and
predicate logic, linear algebra, mathematical analysis, and probability that are important for
+
predicate logic, linear algebra, mathematical analysis, and the probability that are important for
 
the study of informatics and its role in (computational) cognitive science. At the same time,
 
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
 
students will learn about mathematical culture, notation, way of thinking and expressing
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|-
 
|-
 
|Lecture/Exercise
 
|Lecture/Exercise
|Tuesday
+
|Wednesday
|08:10
+
|14:00 - 15:30
|M-I
+
|MS Teams: FMFI-Mathematics for Cognitive Science
|[[Martina Babinská|Martina Babinská]]
+
|[https://sluzby.fmph.uniba.sk/ludia/slavickova1 Mária Slavíčková]
 
|-
 
|-
 
|Exercise/Lecture
 
|Exercise/Lecture
|Thursday
+
|Wednesday
|11:30
+
|15:45 - 17:15
|M-III
+
|MS Teams: FMFI-Mathematics for Cognitive Science
|[[Martina Babinská|Martina Babinská]]
+
|[https://sluzby.fmph.uniba.sk/ludia/slavickova1 Mária Slavíčková]
 
|}
 
|}
 +
 +
==How to join the course==
 +
I'll use your e-mail addresses from the Academic Information System (AiS) and I add you to the course.  You should find an e-mail concerning the first meeting, please, accept it (no later than 21.9.2020, if not, first check the spam. If you'll not be successful, send me an e-mail). As a student at Comenius University, you have access to MS Office 365 for free. If you are a student on mobility without access to MS Office 365, you can join the lectures via the web. 
  
 
== Syllabus ==
 
== Syllabus ==
 
+
<ol>
{| class="alternative table-responsive"
+
<li>Basics of logic and proving methods: propositional logic, predicate logic, the sets of numbers, proofs. </li>
!Date
+
<li>Basics of mathematical analysis: functions, differential calculus</li>
!Topic
+
<li>Basics of linear algebra: matrices and vectors, operations.Looking forward to meeting you in the lessons </li>
!References
+
<li>Basics of probability: likely and not likely, unconditional and conditional probability </li>
|-
+
</ol>
|24.09.
+
|Introduction. The set of numbers, cardinality, the set theory.
+
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
+
Rose-Hulman Institute of Technology: Pearson, 2004; chap. 3
+
 
+
|-
+
|26.09.
+
|The basics of logic: statement vs. sentence.
+
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
+
Rose-Hulman Institute of Technology: Pearson, 2004; chap. 2
+
 
+
|-
+
|01.10.
+
|The basics of logic: primitive vs. compound statement, conjunction, disjunction, implication, biconditional, quantifiers.  
+
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
+
Rose-Hulman Institute of Technology: Pearson, 2004; chap. 2
+
 
+
|-
+
|03.10.
+
|The basics of logic: Negation. Logical Equivalence. Contradiction and tautology.
+
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
+
Rose-Hulman Institute of Technology: Pearson, 2004; chap. 2
+
 
+
|-
+
|08.10.
+
|Mathematical Rows: Sum and multiplication. Mathematical notation.
+
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
+
Rose-Hulman Institute of Technology: Pearson, 2004; chap. 4.1
+
 
+
|-
+
|10.10.
+
|Proving methods in mathematics: Constructive proof, direct proof and mathematical Induction. Indirect/contrapositive proof. Contradiction.
+
|Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
+
Rose-Hulman Institute of Technology: Pearson, 2004; chap. 4.1
+
 
+
|}
+
  
 
== References ==
 
== References ==
  
* Discrete and combinatorial mathematics: An applied introduction / Ralph P. Grimaldi.
+
* Discrete structures with contemporary applications / Stanoyevitch A. CRC Press, Taylor & Francis Group, 2011.
Rose-Hulman Institute of Technology: Pearson, 2004. [https://www.scribd.com/doc/119851254/Discrete-and-Combinatorial-Mathematics-An-Applied-Introduction-5th-Ed-R-Grimaldi-Pearson-2004-WWW Download here];
+
* A First Course in Real Analysis. Second Edition. / Protter, M.H. & Morrey, C.B. Springer-Verlag , 1991.
 
* Basics of Mathematical Functions: https://www.khanacademy.org/math/algebra/algebra-functions
 
* Basics of Mathematical Functions: https://www.khanacademy.org/math/algebra/algebra-functions
* Calculus / Gilbert Strang. Massachusetts Institute of Technology: Wellesley-Cambridge Press. [https://ocw.mit.edu/ans7870/resources/Strang/Edited/Calculus/Calculus.pdf Download here];
+
* [https://ocw.mit.edu/ans7870/resources/Strang/Edited/Calculus/Calculus.pdf Calculus] / Gilbert Strang. Massachusetts Institute of Technology: Wellesley-Cambridge Press.  
* Fundamentals of Linear Algebra / James B. Carrell. Canada: University of British Colombia, 2005. [https://www.math.ubc.ca/~carrell/NB.pdf Download here];
+
* [https://www.math.ubc.ca/~carrell/NB.pdf Fundamentals of Linear Algebra] / James B. Carrell. Canada: University of British Colombia, 2005.
* Artificial Intelligence: A Modern Approach / Stuart Russell and Peter Norvig. The USA: Pearson, 2010. [http://dai.fmph.uniba.sk/courses/ICI/russell-norvig.AI-modern-approach.3rd-ed.2010.pdf Download here];
+
* Artificial Intelligence: A Modern Approach / Stuart Russell and Peter Norvig. The USA: Pearson, 2010.
  
 
== Course grading ==
 
== Course grading ==
 
<b>To be classified student has to achieve at least 50% of every activity:</b>
 
<b>To be classified student has to achieve at least 50% of every activity:</b>
  
PROJECT 
+
====THREE EXAM TESTS:====
* form: essay, presentation, song or movie
+
*form: 60 minutes writing test  
* topic: Me and Mathematics: what does mathematics mean for me?
+
*terms: to be announced
* term: 05.12.2019
+
* goal: self-study motivation
+
* weight: 15%
+
 
+
WEEKLY EXAMS AND HOMEWORK
+
*form: 10-15 minutes writing tests
+
*term: every Tuesday at the beginning of the exercise
+
*goal:  regular preparation
+
*weight: 25%
+
 
+
MIDDLE TERM EXAM
+
*form: 90 minutes writing test (student can choose from the offered task sets)
+
*term: 12.11.2019
+
 
*goal: progress definition
 
*goal: progress definition
*weight: 15%
+
*weight: 20 % each
  
ATTENDANCE, ACTIVITY (bonus points. max 15%)
+
====ATTENDANCE, ACTIVITY====
*form: class work (solving problems and schoolmate’s help)
+
*form: classwork (solving problems and schoolmate’s help)
 
*term: every lecture and exercise
 
*term: every lecture and exercise
*goal:  regular preparation, cooperation and social activity
+
*goal:  regular preparation, cooperation, and virtual-social activity
*weight: 15%
+
*weight: 10%
  
FINAL EXAM
+
====FINAL EXAM====
 
*form: 90 minutes writing test
 
*form: 90 minutes writing test
*term: January, February 2020
+
*term: January, February 2021
 
*goal: course output   
 
*goal: course output   
 
*weight: 30%
 
*weight: 30%
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<b>OVERALL GRADING:</b>  A > 90%, B > 80%, C> 70%, D > 60%, E > 52% points.
 
<b>OVERALL GRADING:</b>  A > 90%, B > 80%, C> 70%, D > 60%, E > 52% points.
 
 
 
== Information list ==
 
{{Infolist|2-IKV-102|Course information sheet >}}
 

Latest revision as of 19:01, 16 September 2020

Mathematics for Cognitive Science 2-IKVa-102

The lectures will provide students with the basics of propositional and predicate logic, linear algebra, mathematical analysis, and the 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 14:00 - 15:30 MS Teams: FMFI-Mathematics for Cognitive Science Mária Slavíčková
Exercise/Lecture Wednesday 15:45 - 17:15 MS Teams: FMFI-Mathematics for Cognitive Science Mária Slavíčková

How to join the course

I'll use your e-mail addresses from the Academic Information System (AiS) and I add you to the course. You should find an e-mail concerning the first meeting, please, accept it (no later than 21.9.2020, if not, first check the spam. If you'll not be successful, send me an e-mail). As a student at Comenius University, you have access to MS Office 365 for free. If you are a student on mobility without access to MS Office 365, you can join the lectures via the web.

Syllabus

  1. Basics of logic and proving methods: propositional logic, predicate logic, the sets of numbers, proofs.
  2. Basics of mathematical analysis: functions, differential calculus
  3. Basics of linear algebra: matrices and vectors, operations.Looking forward to meeting you in the lessons
  4. Basics of probability: likely and not likely, unconditional and conditional probability

References

  • Discrete structures with contemporary applications / Stanoyevitch A. CRC Press, Taylor & Francis Group, 2011.
  • A First Course in Real Analysis. Second Edition. / Protter, M.H. & Morrey, C.B. Springer-Verlag , 1991.
  • Basics of Mathematical Functions: https://www.khanacademy.org/math/algebra/algebra-functions
  • Calculus / Gilbert Strang. Massachusetts Institute of Technology: Wellesley-Cambridge Press.
  • Fundamentals of Linear Algebra / James B. Carrell. Canada: University of British Colombia, 2005.
  • Artificial Intelligence: A Modern Approach / Stuart Russell and Peter Norvig. The USA: Pearson, 2010.

Course grading

To be classified student has to achieve at least 50% of every activity:

THREE EXAM TESTS:

  • form: 60 minutes writing test
  • terms: to be announced
  • goal: progress definition
  • weight: 20 % each

ATTENDANCE, ACTIVITY

  • form: classwork (solving problems and schoolmate’s help)
  • term: every lecture and exercise
  • goal: regular preparation, cooperation, and virtual-social activity
  • weight: 10%

FINAL EXAM

  • form: 90 minutes writing test
  • term: January, February 2021
  • goal: course output
  • weight: 30%


OVERALL GRADING: A > 90%, B > 80%, C> 70%, D > 60%, E > 52% points.