Algebra in Construction Engineering (3cr)

Objective

Learning competence
Students are competent in basic real number calculations. They know how to calculate values of expression by means of calculation tools. 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. They know the calculation principles for the different parts of a right-angled triangle

Working community competence
Students are able to present the stages of algebraic problem solving in both written and oral form, and also through online and virtual communication. They are competent in graphical representation of mathematical models. Students are able to work in various groups and also lead group activities as the group seeks solutions to algebraic problems.

Quality management competence
Students are able to assess the accuracy of mathematical calculations using both approximate methods and precise calculations. 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 linear equations and how to solve them
- direct and inverse proportionality
- proportional to power and root
- linear interpolation

Function and its graph
- graphs of first and second degree polynomial functions
- fractional functions and their graphs

Right-angled triangle
- Pythagorean theorem
- application of sine, cosine, and tangent in calculating the lengths of the sides or angles of a triangle

Qualifications

Good knowledge of elementary school mathematics.

Assessment criteria, satisfactory (1)

Students are able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponential and logarithmic calculations and are able to solve simple exponential equations. They know the basics of linear interpolation and are able to solve simply formulated interpolation problems. They are able to solve basic problems related to right-angled triangles.

Assessment criteria, good (3)

Students are also able to solve non-standard equations and systems of equations. They are able to apply linear interpolation even in non-standard problems. Students are able to utilize the calculation formulas of right-angled triangles in solving practical problems.

Assessment criteria, excellent (5)

Students have a good command of the steps involved in solving different types of equations. They are able to formulate a practical problem in the form of a mathematical equation and solve it. They know how to acquire information independently when seeking solutions to mathematical problems.

Materials

- Tekniikan Kaavasto, Tammertekniikka
- Rakentajain kalenteri or Mestarin taulukot
- lecture material as indicated by the lecturer