Course code Mate3012

Credit points 4.50

Mathematics

Total Hours in Course120

Number of hours for lectures24

Number of hours for seminars and practical classes24

Independent study hours72

Date of course confirmation19.10.2011

Responsible UnitInstitute of Mathematics and Physics

Course developer

author lect.

Liene Strupule

Mg. math.

Course abstract

Studying the course, students acquire the mathematical knowledge and skills needed for the further study of special subjects The first part of course includes matrix algebra, analytical geometry, limit of function, derivative of function and its applications, indefinite and definite integrals and its applications, elements of probability theory.

Learning outcomes and their assessment

• Knowledge of elements of linear algebra, analytic geometry, limit of function, derivative of function and applications.
• Skills - calculate the determinant, find the solution of a system of linear equations, 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 and definite integrals, calculate a area of plane figures, volume of rotation body, calculate the probability.
• Competence: of mathematical thinking, of handle symbols and formal mathematics language, of mathematical problem formulating and solving, of reasoning, of modeling, of aids and tools and of communication.

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, 2007. 294 lpp.
3. Uzdevumu krājums augstākajā matemātikā. Dz.Bože, L.Biezā, B.Siliņa, A.Strence. Rīga: Zvaigzne, 2001. 332 lpp.

Further reading

1. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika 2. - Rīga, Zvaigzne, 1986
2. Bože Dz., Biezā L., Siliņa B., Srence A.. Uzdevumu krājums augstākajā matemātikā. - Rīga, Zvaigzne, 1986.