Insinöörimatematiikan perusteet (5 cr)
Code: TE00CQ16-3001
General information
- Enrollment
-
01.12.2023 - 22.01.2024
Registration for the implementation has ended.
- Timing
-
08.01.2024 - 30.04.2024
Implementation has ended.
- 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
- 0 - 40
- Degree programmes
- Degree Programme in Information and Communications Technology
Realization has 5 reservations. Total duration of reservations is 10 h 0 min.
Time | Topic | Location |
---|---|---|
Wed 03.04.2024 time 14:00 - 16:00 (2 h 0 min) |
Insinöörimatematiikan perusteet TE00CQ16-3001 |
ICT_C1042_Myy
MYY
|
Mon 08.04.2024 time 12:00 - 14:00 (2 h 0 min) |
Insinöörimatematiikan perusteet TE00CQ16-3001 |
ICT_C1042_Myy
MYY
|
Wed 10.04.2024 time 10:00 - 12:00 (2 h 0 min) |
Insinöörimatematiikan perusteet TE00CQ16-3001 |
ICT_C1035_Delta
DELTA
|
Mon 15.04.2024 time 12:00 - 14:00 (2 h 0 min) |
Insinöörimatematiikan perusteet TE00CQ16-3001 |
ICT_C3043
Teoriatila muunto
|
Wed 17.04.2024 time 10:00 - 12:00 (2 h 0 min) |
Insinöörimatematiikan perusteet TE00CQ16-3001 |
ICT_C1035_Delta
DELTA
|
Evaluation scale
H-5
Content scheduling
- Sets of numbers and number systems
- Real functions
- Polynomials equations and inequalities, exponential and logarithmic equations;
- Trigonometry for right triangles
- Complex numbers
- Vectors and matrices
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.