Intensive course in mathematics in the field of engineering (3 cr)

Objective

You are able to flexibly deal with expressions containing fractional numbers also in the symbolic form.

You are able to simplify mathematical expressions, to find a common factor and use the square of a binomial as well as the product of sum and difference.

You are familiar with basic formulas of powers and roots and you are able to use them effortlessly. You are also familiar with negative exponents.

You know thoroughly how to solve equations of first and second degree.

You area able to solve for a given variable in a formula.

You are able to solve a system of two linear equations and to create equations based on simple verbal problems.

You are familiar with mathematical functions and you are able to draw the graph of a line or a parabola.

You know the prerequisites for solving a right-angled triangle and you can carry out the solving process effortlessly.

Content

How do you carry out the basic calculations of fractional numbers?
How do you simplify expressions by removing parentheses, performing the multiplications and combining similar terms?
How do you perform mathematical operations for simplifying power and root expressions?
How do you factorizate a mathematical expression by using a common factor?
How are the formulas of the square of a binomial and the product of sum and difference work used?
How do you solve an equation of first degree and similar formulas?
What are the three forms of a quadratic equation and how can these be solved efficiently?
How do you define the slope, form the equation and draw the graph of a line?
How do you solve a system of two linear equations and present it graphically in the coordinate system?
How do you calculate the apex and zero positions of a parabola and draw the graph of it?
What are the right triangle definitions for trigonometry functions? How can the right triangle be solved?

Course material

Kurssin Learn-sivulla tarjottu materiaali. Materiaali pohjautuu osaltaan kirjaan Insinöörin matematiikka, Tuomenlehto ym., 1.-5. painos, 2018.

Timing of exams and assignments

Kurssin tenttiä saa uusia 2 kertaa.

Student workload

Kurssin työmäärä vastaa 3 opintopistettä eli 81 tuntia opiskelua.

Course part description

Kurssi kertaa tai vahvistaa matemaattisia valmiuksia jatkokursseja varten. Sisältöön kuuluu mm. murtolausekkeet, potenssi- ja juurilausekkeet, 1. ja 2. asteen yhtälöiden ratkaiseminen, funktion käsite ja suorakulmaisen kolmion ratkaiseminen.

Evaluation scale

Approved/Failed

Assessment methods and criteria

Kurssin arviointi perustuu loppukokeen tulokseen.

Qualifications

passing the entrance examination of engineering studies