Integral Calculus
| Structure Type: | Study unit |
|---|---|
| Code: | IKTP0112 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | YT 2016 |
| Level: | Bachelor of Engineering |
| Year of Study: | 2 (2017-2018) |
| Credits: | 2 cr |
| Responsible Teacher: | Pyhälahti, Onni |
| Language of Instruction: | Finnish |
Courses During the Academic Year 2017-2018
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
|---|---|---|---|---|---|
| 1 | I-EY-2N | 2017-10-23 – 2017-12-22 | Sanna Rintala | Finnish | 2017-08-23 – 2017-09-18 |
| 2 | I-KT-2N | 2018-01-08 – 2018-04-27 | Sanna Rintala | Finnish | 2017-12-11 – 2018-01-15 |
Still need to take the course? See the courses during the academic year 2019-2020.
Learning Outcomes
The student understands the concept of the integral and is able to apply it for the calculation of areas, volumes, lengths of arcs. In addition, the student is able to solve simple differential equations and knows the basics of series.
Student's Workload
The total amount of student's work is 54 h, which contains 28 h of contact studies.
The assessment of student’s own learning 1 h is included in contact lessons.
Prerequisites / Recommended Optional Courses
Analytic Geometry and Linear Algebra
Differential Calculus
Contents
Integral, integrations methods of functions, calculation of areas, volumes and length of curves and numerical integration. Solving differential equations by separation of variables, applications. Arithmetical progressions and geometrical series and basics of power series.
Recommended or Required Reading and Other Learning Resources/Tools
Majaniemi: "Matematiikka I, II and III", Tietokotka Oy; the material prepared by the teacher.
Mode of Delivery / Planned Learning Activities and Teaching Methods
The basics of learning constitutes of lectures where the theory is explained and examples are given. A mere attending the lectures and listening to the lecturer is not sufficient for proper learning. In practice, an independent pondering of the contents of the course becomes best realized when a student solves independently, at home, the problems given by the lecturer. Solutions to the problems are given during the lectures.
Assessment Criteria
Grade 1: The student knows those subjects of the course, which are necessary for the forthcoming studies and working life.
Grade 3: The student is well-abled to utilize the course contents.
Grade 5: The student is able to apply creatively the contents of the course.
Assessment Methods
Exercises and examination. The student is required to perform at least one quarter of the homework exercises.