Functions and MatricesLaajuus (3 cr)

Objective

Student is able to: - understand the concept of a function and recognizes the characteristic properties of different basic functions - solve equations involving basic functions and apply them in practical problems - recognize graphs of basic functions - perform basic calculations with matrices and apply them in practical problems

Content

Basic Functions and Terminology (Polynomial, Rational, Power, Exponential, Logarithmic and Trigonometric Functions), Graphs of Basic Functions, Equations, Matrix Operations, Group of Linear Equations.

Qualifications

Orientation for engineering mathematics or similar skills.

Assessment criteria, satisfactory (1)

Student understands the basic concepts of functions and matrices and recognizes typical graphs of elementary functions. Student is able to solve simple equations involving exponential, logarithmic or trigonometric functions. Justification of solutions and the usage of mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3)

In addition, student is able to solve equations involving basic functions and knows how to perform calculations with matrices. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5)

In addition, student has an overall understanding of using course topics to solve various applications and the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and also committed to help the group to manage the course.