Differential Calculus (3 cr)

Objectives (course unit)

Student is able to
- apply the concepts of limit and derivative when solving practical problems
- interpret derivative as rate of change
- determine the derivative using graphical, numerical and symbolical methods
- construct error estimates using the differential method

Content (course unit)

Limit, Derivative, Partial Derivative, Graphical Differentiation, Numerical Differentiation, Symbolic Differentiation, Applications of Derivative, Error Estimation with Differential.

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Assessment criteria, satisfactory (1-2) (course unit)

Student understands the basic concept of derivative and is able to solve simple applications that are similar to the model problems solved during the course. Student also knows how to interpret derivative in graphs and how to compute it numerically. Justification of solutions and using mathematical concepts may still be somewhat vague. Student takes care of his/her own studies and can cope with exercises with some help from the group.

Assessment criteria, good (3-4) (course unit)

In addition, student is able to apply derivative to basic technical problems, for example to optimization. Student is also able to explain the methods of her/his solutions. Mathematical notations and concepts are mainly used correctly. Student is able to solve the given exercises independently and also helps other students in the group.

Assessment criteria, excellent (5) (course unit)

In addition, student has an overall understanding of course topics. He/she can solve more demanding engineering problems and has the ability to present and justify the chosen methods of solution. Mathematical notations and concepts are used precisely. Student is motivated and committed to help the group to manage the course.

Location and time

Zoom etäopetus
ma 20.4. opetus 17-20
ti 21.4. opetus 17-20
ma 27.4. opetus 17-20
Koe
ti 28.4. 17-20

Exam schedules

Koe ti 28.4. 17-20
Rästikurssin koetta ei voi uusia.

Evaluation methods and criteria

Differentiaalilaskenta, RÄSTIKURSSI kesä 2020 (5N00EG74-3023)
Opintojakso suoritetaan ennakkotehtävillä, osallistumalla opetukseen (osallistuttava 100 %) ja suorittamalla koe hyväksytysti. Poissaolo kokeesta vastaa hylättyä suoritusta.

Assessment scale

0-5

Teaching methods

Zoom etäopetus

Content scheduling

Kertaavalla opintojaksolla keskitytään opintojakson keskeisten tehtävien ratkaisemiseen.

Further information

Opiskelija, jolla on Differentiaalilaskennan kurssista nolla voi osallistua tälle kertaavalle opintojaksolle. Kurssille on mahdollista osallistua siis vain, jos on jo aiemmin käynyt kyseisen kurssin, mutta saanut siitä arvosanan 0. Tämä rästikurssi on eräänlainen tukiopetuksella höystetty ylimääräinen uusintakerta, joten rästikurssin koetta ei voi uusia.
Kurssille hyväsymisen ehtona on hyväksytysti suoritetut ennakkotehtävät.

Assessment criteria - satisfactory (1-2) (Not in use, Look at the Assessment criteria above)

Kurssilla tavoitellaan arvosanaa 1.
Arvosanan 2 saamiseksi opiskelijan tulee työskennellä itsenäisesti. Jos kurssikoe menee erityisen hyvin, niin kurssista on mahdollista saada arvosana 2.