Applied Mathematics

Total Hours in Course44

Number of hours for lectures16

Number of hours for seminars and practical classes28

Number of hours for laboratory classes0

Independent study hours64

Date of course confirmation30.09.2024

Responsible UnitInstitute of Mathematics and Physics

Course developers

Matemātikas un fizikas institūts

Svetlana Atslēga

Dr. math.

lect.

Liene Strupule

Mg. math.

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

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.

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

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.

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.

Notes

For full-time and part-time students of the professional bachelor's study program Food Technology

Feedback