| Course title | Applied Mathematics |
| Course code | MateB013 |
| Credit points (ECTS) | 4 |
| Total Hours in Course | 108 |
| Number of hours for lectures | 16 |
| Number of hours for seminars and practical classes | 28 |
| Number of hours for laboratory classes | 0 |
| Independent study hours | 64 |
| Date of course confirmation | 30/09/2024 |
| Responsible Unit | Institute of Mathematics and Physics |
| Course developers | |
| Dr. math., asoc. prof. Svetlana Atslēga Mg. math., lekt. Liene Strupule |
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| There is no prerequisite knowledge required for this course | |
| 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 food product technologies. The study course deals with elements of calculus, differentiation of function of one variable, integral calculus and applications. | |
| Learning outcomes and their assessment | |
| Upon successful completion of this course:
1. Students are able to manage and demonstrate knowledge and critical understanding of limits, differentiation of function of one variable, integral calculus. Students manage the application of the acquired topics in practical examples related to the specialty of the Food Product Technologies and related fields - Tests 2. Students are able to show understanding of the corresponding concept and regularities, to perform necessary calculations and operations– 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) | |
| Full-time studies:
1.Evaluating Limits. Indeterminate Forms – Lecture – 4h, practical work – 6h 2.Differentiation of function of one variable – Lecture – 4h, practical work – 6h 3.Applications of differentiation. Optimization problems - Lecture –2h 4.Test 1: Limits of function and derivatives –practical work – 4h 5.Integration. Indefinite Integration. Basic integration rules. Integration by substitution and integration by parts, integration of rational functions – Lecture – 4h, practical work – 6h 6.Integration. Definite integrals. Applications of integration: area of a plane region, volume of a solid of revolution – Lecture –2h, practical work – 4h 7.Test 1: Integration and Applications – practical work – 2h Part-time studies: All topics specified for full-time studies are covered, but the number of contact hours is half of the number specified in the calendar. |
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| Requirements for awarding credit points | |
| The course is assessed through an examination | |
| Description of the organization and tasks of students’ independent work | |
| The following independent works must be completed in writing form:
Independent work 1. Limits Independent work 2. Differentiation of function of one variable. Independent work 3. Indefinite integrals Independent work 4. Integral calculus and application of integration |
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| Criteria for Evaluating Learning Outcomes | |
| The student can receive the accumulative exam score if
-all independent works are defended successfully -average mark of the all tests is at least 5 The mark of the accumulative exam consists of the average mark of all tests. The exam can be arranged at the time indicated by the academic staff if all independent works are successfully defended. |
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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 | |
| For full-time and part-time students of the professional bachelor's study program Food Technology | |