Differential and Integral Calculus (3 cr)

Objectives (course unit)

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 (course unit)

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.

Exam schedules

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

Assessment methods and criteria

Final Exam has about 50 multiple-choice questions and you have time to do this test 180 minutes. To pass this course you have to get at least 600/1000. If result is less you have to re-take test. Test can be re-take twice (2).

Assessment scale

Hyväksytty/Hylätty

Teaching methods

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

Learning materials

Online.

Student workload

Depends on the student’s baseline.

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.

Completion alternatives

N/A

Practical training and working life cooperation

N/A

International connections

N/A