Differential Calculus (3 cr)

Objectives (course unit)

After completing this course 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
- understand basic concepts of series

Content (course unit)

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

Prerequisites (course unit)

Orientation for Engineering Mathematics and Functions and Matrices or similar skills

Exam schedules

see the Tabula-pages of the course

Evaluation methods and criteria

Exam

Assessment scale

0-5

Learning materials

Differential Calculus, Vaarma M. (e-book)

Content scheduling

see the Tabula-pages of the course

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

The student is able to use the basic content of the course and solve simple applications, that are similar to the assigments covered in the course.

Assessment criteria - good (3-4) (Not in use, Look at the Assessment criteria above)

In addition to former, the student is able to apply the content of the course to different situations and judge the solutions.

Assessment criteria - excellent (5) (Not in use, Look at the Assessment criteria above)

In addition to former, the student has a throughout view of the contents of the course and applications and the studen can present and judge the chosen methods of solution.