| Statuss(Aktīvs) | Izdruka | Arhīvs(0) | Studiju plāns Vecais plāns | Kursu katalogs | Vēsture |
| Course title | Mathematics II |
| Course code | MateB012 |
| Credit points (ECTS) | 4 |
| Total Hours in Course | 108 |
| Number of hours for lectures | 18 |
| Number of hours for seminars and practical classes | 26 |
| Number of hours for laboratory classes | 0 |
| Independent study hours | 64 |
| Date of course confirmation | 12/03/2024 |
| Responsible Unit | Institute of Mathematics and Physics |
| Course developers | |
| Dr. math., asoc. prof. Svetlana Atslēga Mg. math., lekt. Liene Strupule |
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| Prior knowledge | |
| Mate1003, Mathematics I |
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| Course abstract | |
| The aim of the study course is to acquire the mathematical knowledge and practical skills for applying math techniques to study different problems related to Information technologies. The study course deals with functions of two variables, integral calculus. | |
| Learning outcomes and their assessment | |
| Upon successful completion of this course:
1. Students are able to manage and demonstrate knowledge and critical understanding of functions of two variables, integral calculus. Students manage the application of the acquired topics in practical examples related to the specialty of the Information Technologies and related fields. – tests. 2. Students are able to show understanding of the corresponding concept and regularities, to perform necessary calculations and operations. Students are able to use appropriate software for calculations. – practical works. 3. Working in a group or doing work independently, student is able to apply the mathematical calculations corresponding to the specialty problem situation, to make a professional assessment and interpretation of the intermediate result of the calculations and the final results – independent works. |
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| Course Content(Calendar) | |
| 1.Functions of two variables. Applications – 7h
2.Test 1. Functions of two variables. Conic sections – 1h 3.Integral calculus. Basic integration rules. Integration techniques: substitution, integration by parts. Integration of rational, irrational, and trigonometric functions – 16h 4.Test 2. Integral calculus – 1h 5.Definite integrals. Applications of integration: area between curves, volumes of solids of revolution – 14h 6.Test 3. Definite integrals. Applications of integration -1h |
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| Requirements for awarding credit points | |
| Formal test (Pass/Fail assessment) must be passed. | |
| Description of the organization and tasks of students’ independent work | |
| The following independent works must be completed in writing form:
Independent work 1. Functions of two variables. Applications Independent work 2. Indefinite integrals Independent work 3. Definite integrals |
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| Criteria for Evaluating Learning Outcomes | |
| The course is completed without additional knowledge examination if
1) the study course Mathematics I (Mate1003) must be passed 2) the results of the semester are summarized as all independent works are completed (all tasks are completed correctly) 3) during the semester each test score is at least 4. Failed tests can be repeated during the study process at the time indicated by the academic staff. The student can repeat the last test in the 1st week of period of individual studies and examinations at the time indicated by the academic staff. In the case of unsuccessful work in the semester student answers for all the topics together in the period of the individual studies and examinations at the time indicated by the academic staff. |
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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, 2009. – 392 lpp 3.Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika I daļa. Rīga: Zvaigzne, 1988. – 534 lpp. 4.Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika II daļa. Rīga: Zvaigzne, 1988. – 527 lpp. 5.Bula I., Buls J. Matemātiskā analīze ar ģeometrijas un algebras elementiem I daļa.. Rīga: Zvaigzne ABC, 2003. 256 lpp. 6.Bula I., Buls J. Matemātiskā analīze ar ģeometrijas un algebras elementiem II daļa.. Rīga: Zvaigzne ABC, 2004. 192 lpp. |
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| Further reading | |
| 1.Šteiners K. Augstākā matemātika. I , II, III daļa. Rīga: Zvaigzne ABC, 1997. - 96 lpp.,1998. - 116 lpp., 1998. - 192 lpp.
2.Roland E. Larson. Brief calculus: an applied approach. Belmont, CA: Brooks/Cole, Cengage Learning, c2009 xxi, 569,112 lpp. 3.Kuldeep S. Engineering mathematics through applications. Basingstoke: Palgrave Macmillan, 2011. xvi, 927 lpp. 4.Uzdevumu krājums augstākajā matemātikā. / Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 2001. 332 lpp. |
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| Notes | |
| Academic study programme “Computer Control and Computer Science” and professional study programme “Information Technologies for Sustainable Development” | |