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Applied Differential and Integral CalculusLaajuus (3 cr)

Code: BYR26MA04

Credits

3 cr

Objective

The student will be able to:
- derive elementary functions and apply derivatives in basic mathematical problems
- integrate elementary functions and apply integral functions in basic mathematical
problems
- use the mathematical tools covered in the course in an innovative way to solve
various problems within their field of expertise

Content

- definition and limit value of derivatives
- differentiation rules
- extreme value problems
- derivative applications
- integral functions
- integration formulas and rules
- fundamental theorem of calculus
- areas using integrals
- volume integrals
- applications using integrals
- examples and exercises using Excel and MathCad

Qualifications

The Math Courses Functions and Equations 1 and 2 and Geometry and Vectors or similar knowledge

Assessment criteria, satisfactory (1)

Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a satisfactory level.

Assessment criteria, good (3)

Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a good level.

Assessment criteria, excellent (5)

Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at an excellent level.