Differential Calculus (3 op)

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.

Tenttien ja uusintatenttien ajankohdat

The exam will be held on Thursday, 7th of March at 14.15-17.00 in the auditorium D1-04.
Two resit exams: the first one on Thursday, 21st of March at 14.15-17.00 in the classroom B2-25 and the second one on Thursday, 11th of April at 14.00-17.00 in the classroom B2-25.

Arviointimenetelmät ja arvioinnin perusteet

The final grade is based on the exam and the homework. A homework package is given weekly (approximately 7 packages). One point is given for every submitted homework package in Moodle. Homework packages are not accepted by email. The maximum points for the test is 43 points. The homework and the test together give the maximum of 50 points. The grade is based on the following table

12,5 points -> grade 1
20 points -> grade 2
27,5 points -> grade 3
35 points -> grade 4
42,5 points -> grade 5

Arviointiasteikko

0-5

Opiskelumuodot ja opetusmenetelmät

Contact lessons, exercises, self-study, videos, homework, exam.
A student solves 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.

Opiskelijan ajankäyttö ja kuormitus

A student is expected to student 27 hours / credit unit (81 hours / 3 credit units).

Sisällön jaksotus

Topics are shown in TuniMoodle.