Differential Calculus (3op)

Osaamistavoitteet (Opintojakso)

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.

Sisältö (Opintojakso)

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

Esitietovaatimukset (Opintojakso)

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

Arviointikriteerit, tyydyttävä (1-2) (Opintojakso)

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.

Arviointikriteerit, hyvä (3-4) (Opintojakso)

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.

Arviointikriteerit, kiitettävä (5) (Opintojakso)

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.

Aika ja paikka

Dates and times are shown in TuniMoodle.

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Distance lessons, exercises, self-study, videos, homework, exam.
A student solves mandatory exercises and saves them in TuniMoodle by given dead-lines.

Oppimateriaalit

All material, theory and exercises, can be found in TuniMoodle. If necessary, a student can use math books he/she has used before and the Internet to search more information about the topics. A student can borrow books in TAMK library. The solutions for the some homework will be published in TuniMoodle after every deadline.