Subject 'Mathematics'

Year:   2015/2016    2016/2017    2017/2018    2018/2019    2019/2020    

The program of this course contains the main subjects of the gymnasium mathematics program: real numbers and expressions, powers, roots and logarithms; linear, quadratic, fractional, logarithmical and exponential equations and inequalities; equations and inequalities of higher degree; systems of equations and inequalities; trigonometry; plane geometry; word problems involving percents.

This course gives the sound knowledge of mathematics and how to use mathematics as a tool in engineering. The students completed this course are well prepared for deeper studies in the subsequent mathematical courses. In this course, students develop logical and mathematical thinking ability as well.

By the end of this course, the student should
- know the basic properties of the real numbers and be able to apply the basic techniques of calculating powers and roots to real numbers;
- be familiar with elementary properties of logarithms;
- be able to simplify and factoring algebraic expressions using well known recognizable patterns such as the difference of two squares, cubes and s.o.;
- be able to solve linear, quadratic, fractional, logarithmical and exponential equations and inequalities;
- be able to solve systems of linear equations (up to three variables), and to apply them to "real world" problems;
- be able to solve algebraic inequalities and systems of inequalities, and to present their solutions graphically;
- be able to solve "real world" problems using percents;
- be able to manipulate with trigonometric identities, and to solve planimetric problems using trigonometry;
- be able to draw a graph of a line from a simple equation.

The course consists of 32 contact hours: lectures, practical lessons, group study.
Independent work is about 46 academical hours: working through the lecture materials, solving practical exercises, e-learning, preparing for the tests.

1. Kasemets, K., Kõiv, H., Jõgi, T. Vastustega matemaatika ülesannete kogu riigieksamiks valmistujale. TTÜ Kirjastus, Tallinn, 2010;
2. Levin, A., Tõnso, T., Veelmaa, A. Matemaatika XI klassile. Mathema, Tallinn, 2004;
3. Tõnso, T. Matemaatika IX klassile. Mathema, Tallinn, 2001;
4. Tõnso, T., Veelmaa, A. Matemaatika X klassile. Mathema, Tallinn, 2004;
5. Tõnso, T. Matemaatika VII klassile. Mathema, Tallinn, 2002;
6. Tõnso, T., Veelmaa, A. Matemaatika XII klassile. Mathema, Tallinn, 2000;
7. Veelmaa, A. Matemaatika gümnaasiumikursuse kordamine, Mathema, Tallinn, 2009;
8. Veelmaa, A. Matemaatika VIII klassile, Mathema, Tallinn, 2004;
9. E-learning course materials at Moodle environment (http://ekool.tktk.ee).

During the course a student has to pass three tests. The final grade of the course is computed by weighted mean of credits of tests. The tasks of the tests are composed on the basis of the standard problems solved at the practical lessons and according to the topics from the course program. The number of tests during the course can be changed by the responsible lecturer.

Matemaatika - M. Latõnina
Matemaatika - O. Labanova
Matemaatika - R. Timmermann
Matemaatika - V. Retšnoi

2019: RR  

2018: RR  TD  TK  TL*  

2017: KT  RR  RT  TD  TK  TL*  

2016: KT  RR  RT  TD  TK  TL  

2015: KT  RR  RT  TD  TL  

* Optional subject