Algebra (2cr)

Objective

Learning competence
Students are competent in basic real number calculations. They know how to calculate values of formulae by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.

Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic problems.

Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.

Content

Arithmetic:
? Representation of real numbers, calculations and order of operations
? Approximations and precision

Algebraic expressions:
? mathematical expression and its value
? Extended concept of exponentiation
? Calculation rules for exponentation and roots
? Polynomials

Algebraic equations:
? First and second degree equations and how to solve them
? Systems of equations and how to solve them
? Direct and inverse proportionality
? Proportional with regard to power and root
? Linear interpolation

Function and its graph
? Graphs of first and second degree polynomial functions
? Fractional functions and their graphs

Qualifications

No prerequisites

Assessment criteria, satisfactory (1)

1 students understands the basics of algebra
3 student understands and is able to apply the methods of algebra well
5 student understands and is able to apply the methods of algebra excellently

Materials

To be announced at the beginning of the course.

Teaching methods

Lectures, calculations and independent study