Mathematics II

Total Hours in Course

Number of hours for lectures24

Number of hours for seminars and practical classes32

Number of hours for laboratory classes8

Independent study hours71

Date of course confirmation20.12.2023

Responsible UnitInstitute of Mathematics and Physics

Course developer

Matemātikas un fizikas institūts

Svetlana Atslēga

Dr. math.

Prior knowledge

MateB003, Mathematics I

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 Civil Engineering science and related fields.
The study course deals with calculus, differentiation of function of one variable, 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 llimits, 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 Civil Engineering science 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)

In part-time correspondence studies:
1. Evaluating limits. Indeterminate forms. Continuity of a function. Applications of limits (12 h)
2. Differentiation of function of one variable (14 h)
3. Applications of differentiation. Optimization problems (4 h)
4. Test 1: Limits. Differentiation of function of one variable (2 h)
5. Integration. Indefinite Integration. Basic integration rules. Integration by substitution and integration by parts, integration of rational functions (16 h)
6. Definite integrals. Applications of integration: area of a plane region and volume of a solid of revolution (14 h)
7. Test 2: Integration and Applications (2 h)

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. Integral calculus
Independent work 4. Definite integrals. Application of integration

Criteria for Evaluating Learning Outcomes

The student can receive the accumulative exam score if
- the study course Mathematics I (Mate___) must be passed
- all independent works are defended successfully until the beginning of period of individual studies and examinations
- during the semester each test score is at least 4.
The mark of the accumulative exam consists of the average mark of all tests.
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.
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.

Notes

First-level professional higher education study program "Construction"

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