Differential CalculusLaajuus (3 ECTS)

Objective

The student will know the concept of derivative and is able to apply it to different engineering applications.

Content

Concept of derivative, the rate of change. Basic rules of differentiation. Numerical and graphical differentiation. Concepts of multivariable function and partial derivative. Error estimation using total differential. Finding maximum and minimum values of a function.
Other applications

Assessment criteria, satisfactory (1)

The student knows the concept of derivative and understands it as a rate of change, and is able to use basic rules of differentiation. The student understands the concepts of maximum and minimum values of a function and understands their relationship to the derivative.

Assessment criteria, good (3)

In addition to the requirements above, the student is able to estimate derivatives numerically, has a good command of differentiation rules and is able to use derivative in simple applications relating to error estimation, determining the rate of change and finding maxima and minima.

Assessment criteria, excellent (5)

In addition to the requirements above, the student has a deep understanding about the topics covered in the course and is able to apply them creatively and sensibly in different applications.