# TMA 4115 Parallel KJ & NANO Spring 2017

This page contains information on the parallel TMA 4115 KJ & NANO. For general information applying to all parallels of TMA 4115 see the main page of the course.

Teaching in this parallel will be in english language (beklager, men jeg snakker dårlig norsk…). However, there are video recordings of lectures from Spring 2012 in Norwegian (see main page for more information). Notice that the curriculum of the lectures has slightly changed since 2012. Hence the recordings are slightly dated, leave out some material now part of the course and deal instead with some topics not contained in the current lecture.

## Referansegruppe

Charlotte Lund-Hanssen | charl (at) stud (dåt) ntnu (dåt) no |

Johannes Voll Kolstø | johannvk (at) stud (dåt) ntnu (dåt) no |

Stine Marie Pettersen | stinmp (at) stud (dåt) ntnu (dåt) no |

Oskar Høgberg Simensen | oskarhs (at) stud (dåt) ntnu (dåt) no |

Please contact them if you have suggestions concerning the lecture the reference group should discuss. (If you are not a spambot it should be easy to assemble the correct email address from the above.)

## Material and further Information

Here you can download the slides used in the lecture. In general, I will *try* to make the slides available before the lecture (so you can bring them if you want to take notes).

Date | Slides (Short content description) | Comments |
---|---|---|

09.01 | Introduction and complex numbers | |

12.01 | Complex numbers, representations and operations | |

16.01 | Operations on complex numbers, roots and complex functions | |

19.01 | Complex exponential, Second order differential equations | Video lectures cover only material on complex exponential (not on complex functions/polynomials) |

23.01 | Linear second order differential equations, linear independence, constant coefficients | |

26.01 | Differential equations with constant coefficients, inhomogeneous equations and method of undetermined coefficients | |

30.01 | Inhomogeneous differential equations, method of undetermined coefficients, variation of parameters | |

23.02 | Matrix algebra, inverse matrices | |

16.03 | Markov chains | |

20.03 | Eigenvectors and eigenvalues | |

23.03 | Similarity of matrices, diagonalisation | |

26.03 | Systems of differential equations | |

30.03 | Inner products, geometry and orthogonality | |

20.04 | Least square problems, symmetric matrices, spectral theorem |

In the first chapter of the lecture we discuss complex numbers. To explore complex numbers, you should try the Mathlets (see menu to the left for access) for complex numbers offered by MIT.

Fun (only tenuously related to the lecture): What if you pitch a baseball at 90% of lightspeed?