Differential Calculus
| Structure Type: | Study unit |
|---|---|
| Code: | ISTP0303 |
| Type: | Compulsory / Basic Studies |
| Curriculum: | ST 2014 |
| Level: | Bachelor of Engineering |
| Year of Study: | 1 (2014-2015) |
| Credits: | 2 cr |
| Responsible Teacher: | Niemi, Henry |
| Language of Instruction: | Finnish |
Courses During the Academic Year 2014-2015
| Impl. | Group(s) | Study Time | Teacher(s) | Language | Enrolment |
|---|---|---|---|---|---|
| 8 | I-ST-1N | 2015-01-05 – 2015-05-02 | Jussi Ojanen | Finnish | 2014-12-08 – 2015-01-12 |
Learning Outcomes
After the study unit the student knows the following concepts and can apply them in electrical engineering: limit of a function, continuity, derivatives of 1st or higher order. The student can derivate the most common elementary functions, knows the significance of the derivative as a slope of a tangent line and as an expresser of conversion rate of a quantity, knows the differential of a function and its use in error assessment , knows the product and quotient of the derivative and composite function, knows the concept of extremum and can apply it and can solve an equation numerically using Newton's method.
Student's Workload
The total amount of student's work is 54 h, which contains 28 h of contact studies.
Prerequisites / Recommended Optional Courses
Analytic Geometry and Linear Algebra
Contents
Limit and derivative, derivation of basic functions, composite function, study of functions. Partial derivative, total differential, extremums of single-variable functions. Application related to electrical engineering.
Recommended or Required Reading and Other Learning Resources/Tools
Majaniemi: "Matematiikka I ja II", 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. At the end of the course, students may be given exercises which are to be solved with a computer.
Assessment Criteria
Grade 5: The student is able to apply creatively the contents of the course.
Grade 3: The student is well-abled to utilize the course contents.
Grade 1: The student knows those subjects of the course, which are necessary for the forthcoming studies and working life.
Assessment Methods
An examination, homework exercises and tutored exercise sessions. The student is required to actively take part in exercise sessions, in the same way as in Physics laboratory exercises. All the given computer-related exercises must be handed in by the end of the course.