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 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 basic terminology and give a bit of historical perspective. The course will encompass: arithmetic and algebra; functions and limits; introduction of calculus; initial insights into linear algebra and probability.

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 |
---|---|---|---|

September 22, 2016 | Lecture 1: Perspectives on Mathematical Thinking; Arithmetic | Mondi 2 | 8:45-10:30 |

September 23, 2016 | Recitation 1 | Mondi 2 | 16:30-17:30 |

September 27, 2016 | Lecture 2: Functions | Mondi 2 | 8:45-10:30 |

September 28, 2016 | Recitation 2 | Mondi 2 | 13:00-14:00 |

September 29, 2016 | Lecture 3: Introduction to Calculus I., Derivatives | Mondi 2 | 8:45-10:30 |

October 4, 2016 | Recitation 3 | Mondi 2 | 16:00-17:15 |

October 10, 2016 | Lecture 4: Introduction to Calculus II., Integration | Mondi 2 | 13:30-14:45 |

October 11, 2016 | Recitation 4 | Mondi 1 | 15:00-16:00 |

October 12, 2016 | Lecture 5: Primer on Differential Equations | Mondi 2 | 13:30-14:45 |

October 13, 2016 | Recitation 5 | Mondi 2 | 12:45-13:30 |

October 17, 2016 | Lecture 6: Basic Concepts of Linear Algebra | Mondi 2 | 13:30-14:45 |

October 18, 2016 | Recitation 6 | Mondi 2 | 14:30-16:00 |

1. Perspectives on Mathematical Thinking; Arithmetic | Exercises | Homework |

2. Functions | Exercises | Homework |

3. Differentiation | Exercises | Homework |

4. Integration | Exercises | Homework |

5. Linear Algebra | Exercises | |

- 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)