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Engineering Precalculus (5 cr)

Code: TE00CQ16-3019

General information


Enrollment
01.12.2024 - 26.01.2025
Registration for the implementation has ended.
Timing
13.01.2025 - 31.05.2025
Implementation is running.
Number of ECTS credits allocated
5 cr
Local portion
5 cr
Mode of delivery
Contact learning
Unit
Engineering and Business
Campus
Kupittaa Campus
Teaching languages
English
Seats
60 - 90
Degree programmes
Degree Programme in Information and Communications Technology
Teachers
COS Opettaja
Hazem Al-Bermanei
Groups
PINFOS24A
PINFOS24A
PINFOS24B
PINFOS24B
PINFOK25B
PINFOK25B
PINFOK25C
PINFOK25C
Course
TE00CQ16

Realization has 55 reservations. Total duration of reservations is 110 h 0 min.

Time Topic Location
Mon 13.01.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 14.01.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
EDU_1002 Moriaberg Esitystila byod
Wed 15.01.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Fri 17.01.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 20.01.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 21.01.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 21.01.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 24.01.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 27.01.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 28.01.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_B1032_Beta BETA
Tue 28.01.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 31.01.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 03.02.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 04.02.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 04.02.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 07.02.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 10.02.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 11.02.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Fri 14.02.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 24.02.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Tue 25.02.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Tue 25.02.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 28.02.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 03.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1039_Sigma SIGMA
Tue 04.03.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 04.03.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 07.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 10.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Mon 10.03.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Tue 11.03.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Fri 14.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 17.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Tue 18.03.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Tue 18.03.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 21.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 24.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 25.03.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 25.03.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 28.03.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 31.03.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 01.04.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Tue 01.04.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 04.04.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 07.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1035_Delta DELTA
Tue 08.04.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_B1032_Beta BETA
Tue 08.04.2025 time 14:00 - 16:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Fri 11.04.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Mon 14.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_B1032_Beta BETA
Tue 15.04.2025 time 10:00 - 12:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Tue 15.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C1027_Lambda LAMBDA
Wed 16.04.2025 time 14:00 - 16:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Tue 22.04.2025 time 10:00 - 12:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Wed 23.04.2025 time 12:00 - 14:00
(2 h 0 min)
Lecture, Engineering Precalculus TE00CQ16-3019
ICT_C2033_2034 Teoriatila muunto
Thu 24.04.2025 time 14:00 - 16:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_B1026_Gamma GAMMA
Fri 25.04.2025 time 11:00 - 13:00
(2 h 0 min)
Exercises, Engineering Precalculus TE00CQ16-3019
ICT_C1042_Myy MYY
Changes to reservations may be possible.

Evaluation scale

H-5

Content scheduling

• Real numbers
• Basic arithmetic operations and the order of operations
• Algebraic expressions
• First and second order of polynomial equations and inequalities
• Simultaneous linear equations
• Radical functions and equations
• Exponential and logarithmic functions and equations
• Angles and angular units
• Right triangle and trigonometry
• Trigonometric functions and the unit circle
• Trigonometric equations
• The sine and cosine rules
• Basic concepts of vector algebra and modelling with vectors
• Scalar product and cross product of two vectors
• Basics of matrix algebra, determinant, inverse of a square matrix
• Field-specific content

Objective

After completing the course, the student
• can handle mathematical expressions and formulas within the engineering framework.
• understands the principles of solving equations and can solve equations encountered within technical applications.
• understands the basics of vector algebra and can apply vectors for modelling and solving technical problems.
• understands the basics concepts of geometry and trigonometry, and can apply them in modelling and problem solving.
• understands the concept of function and knows basic properties of functions.
• can apply functions for modelling and solving technical problems.
• understands the basic concepts of matrix algebra.
• can apply simultaneous equations for modelling and solving technical problems.
• can apply correct mathematical notations within the engineering framework.

Content

• Real numbers
• Basic arithmetic operations and the order of operations
• Algebraic expressions
• First and second order of polynomial equations and inequalities
• Simultaneous linear equations
• Radical functions and equations
• Exponential and logarithmic functions and equations
• Angles and angular units
• Right triangle and trigonometry
• Trigonometric functions and the unit circle
• Trigonometric equations
• The sine and cosine rules
• Basic concepts of vector algebra and modelling with vectors
• Scalar product and cross product of two vectors
• Basics of matrix algebra, determinant, inverse of a square matrix
• Field-specific content

Materials

1. Precalculus (3rd edition), Fred Safier, SCHAUM’S outlines.
2. Engineering Mathematics (6th edition), K.A. Stroud [MACMILLAN PRESS LTD]
3. Formula book: Technical formulas

Teaching methods

Teacher-directed classroom activities, group work and independent work; project work, reports, task-based (homework)

International connections

The contents of the course give understanding of the basic mathematics and help students to solve equations, including radical, exponential and logarithmic equations and use determinants and matrices (e.g. for solving linear simultaneous equations), apply dot and cross products (e.g. in games, physics and electrical engineering applications), moreover the students can use relevant mathematical denotation correctly
The students will team up for a project work and writing reports on some current and relevant aspect of basic math, which gives everyone an opportunity to understand the topic; all students will develop their mathematical proficiency.
Task-based assessment supports learning and is continuous throughout the course. Studying in an international group develops students’ ability to intercultural communication and multicultural collaboration

Student workload

Classroom activities: Classroom activities participation 50 h
Homework: Working on homework sets 1-6 30 h
Project work: Research, presentation material, presentation 20h
Final exam: Preparing for the final exam 25 h

Qualifications

Introduction to mathematical sciences or corresponding skills.

Further information

All practical information on timetables, project work, grading etc., as well as links to web materials are provided in ITS Learning.

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