Differential and Integral Calculus (3 cr)

Evaluation scale

Hyväksytty/Hylätty

Content scheduling

The course consists of 11 lessons which includes theory, exercises and of the repeater section. At the end of the course is Final Exam.

Objective

The student understands the role of the derivative as the rate of change of a function. He can differentiate expressions using the basic differentiation rules. The student can solve extreme value problems. The student understands the idea of the integral as a generalization of a sum. She/he understands the connection between the indefinite and the definite integral. The student knows the basic properties of integrals (linearity, additivity etc.) and is able to calculate plane areas using integrals. The student also knows the principles of numerical differentiation and integration.

Content

Definition of the derivative. Derivatives of basic functions (powers, polynomials, exponential functions and logarithms, trigonometric functions). Basic differentiation formulas. Extreme value problems. Numerical differentiation. Higher derivatives. Indefinite and definite integrals. Simple applications. Numerical integration.

Location and time

Course environment is Metropolia's Moodle and course can be done in own pace.

Materials

Online.

Teaching methods

Course is 100% online (self-study) course.

Employer connections

N/A

Exam schedules

Final Exam can be done in own pace and you can re-take it twice (2).

International connections

N/A

Completion alternatives

N/A

Student workload

Depends on the student’s baseline.