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Functions and MatricesLaajuus (3 cr)

Code: 5N00EK26

Credits

3 op

Objectives

After completing this course student is able to understand the concept of a function and recognizes the characteristic properties of different basic functions, solve equations involving basic functions, 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.

Prerequisites

Orientation for engineering mathematics or similar skills.

Assessment criteria, satisfactory (1-2)

Student understands the basic concepts of functions and matrices and is able to solve simple applications that are similar to the model problems solved during the course.

Assessment criteria, good (3-4)

In addition, student is able to solve simple equations involving basic functions and knows how to apply matrices to technical problems. Student is also able to explain the methods of her/his solutions.

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.

Enrolment period

14.08.2023 - 29.10.2023

Timing

23.10.2023 - 12.12.2023

Credits

3 op

Mode of delivery

Contact teaching

Unit

Mathematics

Campus

TAMK Main Campus

Teaching languages
  • English
Degree programmes
  • Bachelor's Degree Programme in Environmental Engineering
  • Open University of Applied Sciences
Teachers
  • Jukka Suominen
Person in charge

Jukka Suominen

Groups
  • 23IENVE

Objectives (course unit)

After completing this course student is able to understand the concept of a function and recognizes the characteristic properties of different basic functions, solve equations involving basic functions, recognize graphs of basic functions, perform basic calculations with matrices and apply them in practical problems.

Content (course unit)

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

Prerequisites (course unit)

Orientation for engineering mathematics or similar skills.

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concepts of functions and matrices and is able to solve simple applications that are similar to the model problems solved during the course.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to solve simple equations involving basic functions and knows how to apply matrices to technical problems. Student is also able to explain the methods of her/his solutions.

Assessment criteria, excellent (5) (course unit)

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.

Location and time

Dates and times are shown in TuniMoodle.

Exam schedules

The exam will be held on Tuesday, 12th of December at 12.15-15.00 in the auditorium B4-22.
Two resit exams, the first one will be held on Friday, 19th of January at 15.15-18.00 in the classroom B2-25. and the second on Friday, 16th of February at 15.15-18.00 in the classroom B2-25.

Assessment methods and criteria

The final grade is based on the exam and the homework. A homework package is given weekly (approximately 7 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the test is 43 points. The homework and the test together give the maximum of 50 points. The grade is based on the following table

12,5 points -> grade 1
20 points -> grade 2
27,5 points -> grade 3
35 points -> grade 4
42,5 points -> grade 5

Assessment scale

0-5

Teaching methods

Lessons, exercises, self-study, videos, homework, exam.
A student solves exercises and saves them in TuniMoodle by given dead-lines.

Learning materials

All material, theory and exercises, can be found in TuniMoodle. If necessary, a student can use math books he/she has used before and the Internet to search more information about the topics. A student can borrow books in TAMK library. The solutions for the some homework will be published in TuniMoodle after every deadline.

Student workload

A student is expected to student 27 hours / credit unit (81 hours / 3 credit units).

Content scheduling

Topics are shown in TuniMoodle.

Completion alternatives

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Practical training and working life cooperation

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International connections

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Further information

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Assessment criteria - fail (0) (Not in use, Look at the Assessment criteria above)

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Assessment criteria - satisfactory (1-2) (Not in use, Look at the Assessment criteria above)

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Assessment criteria - good (3-4) (Not in use, Look at the Assessment criteria above)

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Assessment criteria - excellent (5) (Not in use, Look at the Assessment criteria above)

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