| Course title | Mathematics II |
| Course code | Mate4027 |
| Credit points (ECTS) | 3 |
| Total Hours in Course | 81 |
| Number of hours for lectures | 16 |
| Number of hours for seminars and practical classes | 16 |
| Independent study hours | 49 |
| Date of course confirmation | 19/10/2011 |
| Responsible Unit | Institute of Mathematics and Physics |
| Course developers | |
| Mg. math., Vita Duka Mg. math., Eduards Hakels |
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| There is no prerequisite knowledge required for this course | |
| Course abstract | |
| The second part of course includes indefinite integrals, definite integrals and its applications, functions of two variables, first order ordinary differential equations, knowledge of probability theory. | |
| Learning outcomes and their assessment | |
| • Knowledge of indefinite integrals, definite integrals, functions of two variables and its application, types of first order ordinary differential equations and its solving methods, the knowledge of probability theory.
•Skills use the different methods of integration to indefinite and definite integrals, calculate a area of plane figures and volume of rotation body, differentiate functions of two variables, calculate the extremum of function of two variables, solve first order ordinary differential equations, calculate the probability, construct a suitable frequency distribution. • Competence: of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modeling, of aids and tools and of communication. |
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| Compulsory reading | |
| 1. Volodko I. Augstākā matemātika. I daļa. Rīga: Zvaigzne ABC, 2007. 294 lpp.
2. Volodko I. Augstākā matemātika. II daļa. Rīga: Zvaigzne ABC, 2007. 294 lpp. 3. Uzdevumu krājums augstākajā matemātikā. Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 2001. 332 lpp. |
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| Further reading | |
| 1. Čerņajeva S. Varbūtības teorijas pamati. Mācību līdzeklis un patstāvīgā darba uzdevumi. Rīga: RTU, 2010. 126 lpp.
2. Jēgere I., Baumanis A. Uzdevumi patstāvīgam darbam matemātikā. Matemātika I , Matemātika II. Jelgava: LLU, 2003 2000. 51 lpp. 3. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. 367 lpp. |
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