Level/category

Professional studies

Teaching language

Swedish

Type of course

Compulsory

Cycle/level of course

First

Recommended year of study

1

Total number of ECTS

5 cr

Competency aims

The aim of the course is to build up a mathematical basis for further studies in mathematics and physics

Learning outcomes

Upon successful completion of the course the student is expected to - be able to deal with real and complex numbers - know elementary functions and their graphs - be able to solve equations, inequalities and systems of equations

Course contents

The Rectangular Coordinate Systems Linear Equations in One Variable Linear Equations in One Variable Quadratic Equations Other Types of Equations Linear inequalities and absolute value inequalities Functions and Function Notation Domain and Range Rates of Change and Behavior of Graphs Inverse Functions Linear Functions Modeling with Linear Functions Fitting Linear Models to Data Quadratic Functions Power Functions and Polynomial Functions Graphs of Polynomial Functions Dividing Polynomials Exponential Functions Graphs of Exponential Functions Exponential and Logarithmic Equations Logarithmic Functions Graphs of Logarithmic Functions Exponential and Logarithmic Equations Angles Right Triangle Trigonometry Unit Circle The Other Trigonometric Functions Graphs of the Sine and Cosine Functions Inverse Trigonometric Functions Non-right Triangles: Law of Sines Non-right Triangles: Law of Cosines

Prerequisites and co-requisites

Basic knowledge of mathematics

Previous course names

Mathematics 1

Additional information

none

Recommended or required reading

https://openstax.org/details/algebra-and- trigonometry

Study activities

  • Lectures - 30 hours
  • Individual- and group instruction - 12 hours
  • Individual studies - 93 hours

Workload

  • Total workload of the course: 135 hours
  • Of which autonomous studies: 135 hours
  • Of which scheduled studies: 0 hours

Mode of Delivery

Participation in tuition

Assessment methods

Exams (written-, oral-, home-)

Assessment requirements

Passed examination

Teacher

Skön Kim

Examiner

Skön Kim

Home page of the course

https://arcada.itslearning.com/

Group size

No limit

Assignments valid until

12 months after course has ended

Assessment methods

Date of examination will be announced later - Exams

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