Instructor: Jiri Friml

Teaching Assistants: Kristof Huszar and Lenka Matejovicova

This lecture course aims to refresh the understanding of basic concepts of mathematics and their applications in order to give students an introduction to more advanced mathematical challenges waiting in other courses. It will be explained by a non-specialist in simple terms and an interactive way. It will focus on intuitive rather than formal understanding of basic concepts and will introduce terminology and give a bit of historical perspective. The course will encompass

- arithmetic and algebra,
- functions and limits,
- introduction to calculus,
- initial insights into linear algebra,
- probability and statistics.

In the final lecture, the practical applications of the covered concepts will be reviewed with an initial glimpse into differential equations. The content will not go beyond advanced high-school level and thus is meant mainly for those who have been successfully avoiding exposure to mathematics so far.

Date | Topic | Location | Time |
---|---|---|---|

Thursday, September 21, 2016 | Lecture 1 | Mondi 2, Central Building | 15:00-17:00 |

Friday, September 22, 2016 | Lecture 2 | Big Seminar Room, Office Building West | 14:30-16:30 |

Monday, September 25, 2016 | Lecture 3 | Big Seminar Room, Office Building West | 13:00-15:00 |

Tuesday, September 26, 2016 | Lecture 4 | Mondi 3, Central Building | 16:30-18:30 |

Thursday, September 28, 2016 | Lecture 5 | Mondi 3, Central Building | 16:30-18:30 |

Monday, October 2, 2016 | Lecture 6 | Mondi 2, Central Building | 13:00-15:00 |

Thursday, October 5, 2016 | Lecture 7 | Mondi 2, Central Building | 13:00-15:00 |

1. Mathematical Thinking; Arithmetic | Exercises | Homework |

2. Functions | Exercises | Homework |

3. Differentiation | Exercises | Homework |

4. Integration | Exercises | Homework |

5. Linear Algebra | Exercises | Homework |

6. Statistics |

- Glossary of Mathematical Terms
- Functions and Their Inverses
- A Primer on Linear Algebra (PowerPoint slides, 15 MB)

- Wigner, Eugene P. (1960). "The unreasonable effectiveness of mathematics in the natural sciences. Richard Courant lecture in mathematical sciences delivered at New York University, May 11, 1959".
*Communications on Pure and Applied Mathematics*.**13**: 1–14. (http://www.dartmouth.edu/~matc/MathDrama/reading/Wigner.html) - Abbott, Derek (2013). "The Reasonable Ineffectiveness of Mathematics".
*Proceedings of the IEEE.*101(**10**): 2147–2153. (http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=6600840) - Kalid Azad: An Intuitive introduction to Limits (
*Better Explained*)

https://betterexplained.com/articles/an-intuitive-introduction-to-limits - e (Euler's Number) - Numberphile (video on YouTube)
- Applet: Linear Transformation in 2 dimensions - freeware GeoGrbra needed (http://mathinsight.org/applet/linear_transformation_2d)
- Linear transformations and matrices | Essence of linear algebra (video on YouTube)