Course code Mate3024

Credit points 1.50

Mathematics IV

Total Hours in Course60

Number of hours for lectures8

Number of hours for laboratory classes16

Date of course confirmation16.02.2011

Responsible UnitDepartment of Mathematics

Course developer

author Matemātikas katedra

Svetlana Atslēga

Dr. math.

Replaced course

Mate3001 [GMAT3001] Mathematics IV

Course abstract

Studying the course, students acquire knowledge of probability theory and mathematical statistics with practical applications. The main accent is direct to practical investigations of problems, results calculations and final result professional estimation and interpretation.

Learning outcomes and their assessment

• the knowledge of probability theory and mathematical statistics methods with practical demonstrations;
• the skills use in practice software for statistical data (MathCad, Excel), calculate the probability, calculate the mode, median and mean, the range, variance and standard deviation for a set of data items, construct a suitable frequency distribution, calculate frequency, follow the main step in a test of hypothesis, place confidence intervals around the sample estimate of a population mean, use tabless for chi-squared distributions, derive the equation of the line of best fit to a set of data pairs, calculate the correlation coefficient;
• the 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. Vasermanis E., Šķiltere D. Varbūtību teorija un matemātiskā statistika. Rīga: Izglītības soļi, 2003. 186 lpp.
2. Kronbergs E., Rivža P., Bože Dz. Augstākā matemātika II daļa. Rīga: Zvaigzne, 1988. 527 lpp.
3. Goša Z. Statistika: mācību grāmata. Rīga: Latvijas Universitāte, 2003. 334 lpp.
4. Krastiņš O., Ciemiņa I. Statistika: mācību grāmata augstskolām. Rīga: Centrālā Statistikas pārvalde, 2003. 267 lpp.

Further reading

1. Grīnglazs L., Kopitovs J. Matemātiskā statistika ar datoru lietojuma paraugiem uzdevumu risināšanai. Rīga: Rīgas Starptautiskā ekonomikas un biznesa administrācijas augstskola, 2003. 310 lpp.
2. Arhipova I., Bāliņa S. Statistika ar Mictosoft Excel 97 ikvienam. 1.daļa: mācību līdzeklis. Rīga: Datorzinību centrs, 1999. 168 lpp.
3. Arhipova I., Bāliņa S. Statistika ar Mictosoft Excel 97 ikvienam. 2.daļa: mācību līdzeklis. Rīga: Datorzinību centrs, 2000. 136 lpp.