Expressions and Equations (5 cr)

Objective

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
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The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Content

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Evaluation scale

Hyväksytty/Hylätty

Assessment criteria, approved/failed

Grading is pass after Student has done at least 80% of it.

Further information

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.