Applied MathematicsLaajuus (3 cr)
Code: MAP18MT04
Credits
3 op
Objective
- The student knows basic probability theory and can use different statistical distributions to solve problems
- The student can statistically analyze and present a data material in a relevant way
- The student can apply regression models to different data sets
Content
Statistics
- descriptive statistics
- probability theory
- discrete and continuous distributions
- Excel as a tool for analyzing data
Curve fitting and regression
- matrix calculus and linear algebra
- linear regression - least squares method
- linearization
- mathematical software (Excel, Mathcad or other program) to build regression models
Qualifications
Functions an equations 1,
Geometry and equations,
Functions an equations 2
Derivator and integrals
Assessment criteria, satisfactory (1)
Statistics and computational skills: Know the basics of statistics and can perform simple calculations
Curve fitting and regression: Know the basics of regression analysis
Mathematics software: Can use a software to solve basic problems
Assessment criteria, good (3)
Statistics and calculation skills: Is familiar with statistics and can perform relevant calculations
Curve fitting and regression: Is familiar with the concept of regression and can perform curve fitting of technical models
Mathematics software: Can use a software to solve applied problems
Assessment criteria, excellent (5)
Statistics and computational skills: Is well versed in statistics and can perform more advanced statistical calculations.
Curve fitting and regression: Can independently perform curve fitting and regression models in advanced technical problems
Mathematics software: Can use a software to solve advanced problems in mechanical engineering
Materials
- Booklet containing theory and exercises
- Relevant textbooks are recommended at the start of the course