Differential CalculusLaajuus (3 cr)

Objectives

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, and construct error estimates using the differential method.

Content

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

Prerequisites

Orientation for Engineering Mathematics and Functions and Matrices or similar skills.

Assessment criteria, satisfactory (1-2)

Student understands the basic concepts of differential calculus and is able to solve simple applications that are similar to the model problems solved during the course.

Assessment criteria, good (3-4)

In addition, student is able to apply the methods of differential calculus in various problems and is able to explain the methods of her/his solutions.

Assessment criteria, excellent (5)

In addition, student has an overall understanding of using differential calculus to solve applications and the ability to present and justify the chosen methods of solution.