Calculus (5 cr)
Code: TE00BX68-3006
General information
- Enrollment
-
01.12.2023 - 05.01.2024
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
- Teaching languages
- English
- Degree programmes
- Degree Programme in Energy and Environmental Technology
- Degree Programme in Chemical and Materials Engineering
- Degree Programme in Biotechnology and Chemical Engineering
Evaluation scale
H-5
Content scheduling
The basics of differential and integral calculations and differential equations are discussed in the course. In addition, the pupils familiarise themselves with complex numbers and limit values. The aim is to expand the basis of mathematical thinking needed in engineering studies and tasks as well as the ability to read and use the language of mathematics in professional contexts. In addition, the aim is to familiarise yourself with the use of MATLAB software in modelling and solving mathematical problems. The aim of the course is to use as many examples of engineering work as possible.
More detailed content:
- complex numbers and their applications
- limit values and definition of derivative
- derivation calculation rules
- the concept of differential
- deriving applications
- a specific integral and integral function
- integral calculation rules
- integrated applications
- differential equations and solving them
- differential equation applications
Objective
Student understands the basic of calculus and is able to
• Apply the derivative to analyze functions
• Apply differentials for error calculations
• Apply the definite integrals, e.g., in calculation of area or average
• Apply differential equations for modeling phenomena within engineering framework
Content
• Limit of a function
• Derivative function
• Differentials
• Integral function
• Definite integral
• Separable differential equations
• Linear differential equations
Materials
The course follows the contents of Calculus 1 on the Open Stax website (https://openstax.org/details/books/calculus-volume-1)
In addition, the course uses other material presented online and during contact teaching sessions.
The MATLAB programme is also used during the course, so the student should have access to a personal computer.
The Finnish support book is "Insinöörin matematiikka, Tuomenlehto et.al."
Teaching methods
Methods supporting the construction of the student's own knowledge:
Contact teaching, online learning, collaborative learning, independent work.
The completion of exercises plays a key role in learning, and group work is encouraged in this respect.
Exam schedules
Subtests in weeks 9 and 17.
International connections
Learning methods that support the student's own activity and construction of knowledge
Completion alternatives
-
Student workload
- Theoretical areas and calculation exercises approx. 60 h
- Intermediate tests measuring competence 2 x 2 h (or final exam 2 h)
- Independent practical training approximately 70 h (approximately 4 hours/week + practical training for tests/tests)