ECTS Credits |
5 ECTS credits / 133 hours of work |

Language of instruction |
Finnish, the course can be completed in English |

Timing |
First autumn, period 1 |

Learning outcomes |
The course quickly provides the student the basic mathematical knowledge and skills required in physical sciences. The objective is to learn the basics of differential and integral calculus, methods for solving the most typical first and second order differential equations and the basics of vector differential calculus. After the course the student understands the basic mathematical methods needed in physics and is able to apply them to problems arising in the different physics courses and in research. Another objective is also to understand the geometrical meaning of different mathematical concepts and their connection to physical phenomena. |

Contents |
Integral and differential calculus, complex variables and functions, introduction to differential equations, vectors, functions of several variables, differentials and partial derivatives, gradient, divergence, curl, scalar and vector fields, Gauss’s and Stokes theorem. |

Mode of delivery |
Face-to-face teaching |

Learning activities and teaching methods |
Lectures 14 h, exercises 28 h, self-study 90 h |

Target group |
Primarily for students who study Physics in the University of Oulu. |

Prerequisites and co-requisites |
No specific prerequisities |

Recommended optional programme components |
No alternative course units or course units that should be completed simultaneously. |

Recommended or required reading |
Lecture notes and the textbook R. A. Adams, Calculus - A Complete Course. |

Assessment methods and criteria |
Continuous evaluation and final examination |

Grading |
Numerical grading scale 0 – 5, where 0 is fail |

Person responsible |
Seppo Alanko |

Working life cooperation |
No work placement period |

Other information |
moodle.oulu.fi |