Algebra ja geometria (5 cr)

Evaluation scale

0-5

Objective

The students can form expressions, equations or functions. The students can handle expressions and solve equations by hand, and with a calculator, and by using mathematical computer programs. The students master the use of information technology devices needed in the writing of mathematical expressions. The students understand the concept of a function, can draw and analyze graphs of functions and can form the equation of a function from a graph. The objectives may vary a little depending on the degree programme.

Content

Handling powers and roots, reducing expressions, trigonometric application of right and oblique angles, calculating with vectors, solving first and second degree polynomial equations, root-, exponent- and logarithm equations and pairs and sets of equations. Forming equations from a verbal task, percentage and interest calculation and proportionality. The areas and volumes of the most common bodies, similarity. The concept of a function and polynomial-, rational-, root-, exponent- and logarithm functions and trigonometric functions. Using mathematical computer programs in applications. The objectives may vary a little depending on the degree programme.

Materials

Alestalo – Rantakaulio - Soinne, Tekninen matematiikka 1, Tammertekniikka, 2002.

Completion alternatives

2 intermediate exams Formula exam Independent tasks (extra points, may raise the grade)

Student workload

Lectures and calculation exercises 70 h Independent work 65 h Total 135 h

Assessment criteria, satisfactory (1)

o excellent (5) the student masters most concepts and methods and can apply them independently
o good (3-4) the student masters some concepts and methods and can apply them
o satisfactory (1-2) the student understands some concepts and methods

Qualifications

Vocational school or high school