Code | DMF101 |

Name | Mathematics |

Status | Compulsory/Courses of Limited Choice |

Level and type | Undergraduate Studies, Academic |

Field of study | Mathematics and Statistics |

Faculty | |

Academic staff | Marija Iltiņa, Līga Biezā, Sarmīte Veģere, Jeļena Liģere, Irīna Eglīte, Evija Kopeika, Ilona Dzenīte, Natālija Orbidāne, Tamāra Kabiša, Valentīna Koliškina, Sergejs Smirnovs, Vera Gošteine, Ilze Karpinska, Aleksandrs Matvejevs, Ilmārs Iltiņš, Svetlana Pavlova, Māra Birze, Jeļena Mihailova, Vaira Buža, Vladislavs Kremeņeckis, Agrita Bartušēvica, Tabita Treilande |

Credit points | 9.0 (13.5 ECTS) |

Parts | 2 |

Annotation |
Introduction. Analytical geometry: vectors, lines, surfaces. Linear algebra: matrices, determinants, systems of linear equations. Introduction to analysis: limits, continuity. Differential calculus: derivative, differential and their applications.. - Integral calculus: indefinite and definite integrals, their applications. Ordinary differential equations. Series. Double and triple integrals.. |

Goals and objectives of the course in terms of competences and skills |
To develop students' understanding of basic mathematical concepts that are necessary to comprehend processes and algorithms in professional study courses. To develop students’ logical thinking and skills necessary to analyse solutions of problems when performing more complicated tasks within the framework of study courses of professional specialization. |

Learning outcomes and assessment |
Student is able to perform opperations with matrices, to solve simultaneous equations. - Home assignment. Test. Task in the exam. Student is able to perform opperations with vectors, can form an equation for a line in a plane and for a plane in a space, can identify a curve of a second kind and can draw it. . - Home assignment. Test. Task in the exam Student is able to solve simple limits, can find derivatives of a function. Student can explore a function and can draw its graph. - Home assignment. 2 tests. Task in the exam. Student is able to find derivatives of two variable functions, can calculate extrems. - Home assignment. Test. Task in the exam. Student is able to perform operations with the complex numbers in Cartesian form and in polar form. - Home assignment. Test. Task in the exam. Student is able to integrate simple functions, can calculate an area between two curves, can calculate arc's lenght and volume of a rotational solid. - Home assignment. 2 tests. Task in the exam. Student is able to calculate double and triple integrals and is able to apply them to calculate areas and volumes. - Home assignment. Test. Task in the exam. Student is able to solve simple diferential equations. - Home assignment. Test. Task in the exam. Student is able to determine the convergence of a series, can determine the interval of convergence. Student can apply series in simple problems. - Home assignment. Test. Task in the exam. Student is able to expand simple functions in Fourier series. - Home assignment. Task in the exam. |

Course prerequisites | The study course is based on the knowledge of mathematics acquired at the secondary school. |

[Extended course information PDF]