Course title | Mathematics III |
Course code | Mate4025 |
Credit points (ECTS) | 3.75 |
Total Hours in Course | 101.25 |
Number of hours for lectures | 16 |
Number of hours for seminars and practical classes | 16 |
Number of hours for laboratory classes | 8 |
Independent study hours | 60 |
Date of course confirmation | 16/02/2011 |
Responsible Unit | Institute of Mathematics and Physics |
Course developers | |
Dr. math., asoc. prof. Svetlana Atslēga Mg. paed., Ilze Jēgere |
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There is no prerequisite knowledge required for this course | |
Replaced course | |
Mate4001 [GMAT4001] Mathematics III |
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Course abstract | |
Studying the course, students acquire the mathematical knowledge of complex number, first and second order ordinary differential equations, numerical series and series of function, double integral and tripple integral. Studying the course, students acquire skills to solve different problems analytic and using software "MathCad". | |
Learning outcomes and their assessment | |
• the knowledge of complex number, types of first and second order ordinary differential equations and its solving methods, numerical series and series of function, double integral and tripple integral and its applications;
• the skills add, subtract, multiply and divide the complex numbers in different forms, solve first and second order ordinary differential equations, use the Maclaurin and Taylor series to evaluate function, integrals and differential equations, calculate double integrals and tripple integrals, use integrals to calculate area of plane figures, volume, the center of gravity; • the competences: 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. II daļa. Rīga: Zvaigzne ABC, 2007. – 294 lpp.
2. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika II daļa. Rīga: Zvaigzne, 1988. – 527 lpp. 3. Uzdevumu krājums augstākajā matemātikā. / Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 1996. – 327 lpp. |
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Further reading | |
1. Brūvere S., Rukmane V. Mācību līdzeklis augstākajā matemātikā LLU inženierzinātņu specialitāšu studijām II daļa. Jelgava, 2011. – 108 lpp.
2. Jēgere I. Patstāvīgā darba uzdevumi. Matemātika III. Jelgava, 2006. – 60 lpp. 3. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. – 367 lpp. |