Course code Mate1031

Credit points 1

Mathematics I

Total Hours in Course40

Number of hours for lectures8

Number of hours for seminars and practical classes8

Number of hours for laboratory classes8

Independent study hours16

Date of course confirmation09.06.2014

Responsible UnitDepartment of Mathematics

Course developer

author Matemātikas katedra

Svetlana Atslēga

Dr. math.

Course abstract

Studying the course, students acquire the mathematical knowledge and skills needed for the further study of special subjects. The study course includes matrix algebra, vector algebra, analytical geometry, limit of function, derivative of function and its applications, indefinite integrals. Students acquire skills to work with the software “Mathcad”.

Learning outcomes and their assessment

• Knowledge of elements of linear algebra, vector algebra, analytic geometry, limit of function, derivative of function and applications, indefinite integrals, definite integrals.
• Skills calculate the determinant, find the solution of a system of linear equations, solve problems using vectors, recognise and use the standard equation of a straight line, recognize and interpret the equations of an ellipse, hyperbola, parabola, circle, calculate the limits of the functions, use the different rules of differentiation to differentiate functions of one variables, use the different methods of integration to indefinite integrals.
• Competence of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modelling, of aids and tools and of communication.

Compulsory reading

1. E-studiju materiāli
2. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika I daļa. Rīga: Zvaigzne, 1988. 534 lpp.
3. Volodko I. Augstākā matemātika. I daļa. Rīga: Zvaigzne ABC, 2007. 294 lpp.
4. Uzdevumu krājums augstākajā matemātikā. Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 2001. 332 lpp.

Further reading

1. Siliņa B., Šteiners K. Rokasgrāmata matemātikā. Rīga: Zvaigzne ABC, 2006. 367 lpp.