Introduction to Numerical Problem SolvingLaajuus (5 ECTS)

Objective

The aim of this course is to introduce the most common mathematical and numerical methods and tools that are used for solving engineering problems.

Content

- Graphical presentations of measured data
- Basic mathematical models
- Functions and simple algorithms
- Recursion and difference equations
- Modeling dynamic systems
- Interpretation of presented data

Qualifications

Basic engineering mathematics (TI00AA04) and Introduction to Calculus (TI00AA05) or similar courses completed:
- Can solve basic algebraic problems,
- Knows the most commong engineering functions, and
- Is able to differentiate and integrate

Assessment criteria, satisfactory (1)

On the completion of the course the student:
- Knows the standard graphical presentations and mathematical models
- Is able to present data graphically and make simple interpretations based on the presentation
- Can create basic algorithms and mathematical models using common numerical tools and use them to analyse given data

Assessment criteria, good (3)

In addition to satisfactory criteria:
- Knows what are dynamic systems and how to describe them mathematically
- Knows what means recursion and how to use it to solve difference equations
- Is able to use recursion and difference equations to model engineering problems
- Can interpret the results and make adjustments to the numerical model in order to improve the model fit

Assessment criteria, excellent (5)

In addition to good criteria:
- Understands the role of the functions and algorithms in numerical modelling
- Is able to analyse the given problem and create a numerical model for that
- Is able to adapt the numerical algortihm for a given problem
- Can evaluate and analyse critically the data, the model and presented results

Assessment criteria, approved/failed

On the completion of the course the student:
- Knows the standard graphical presentations and mathematical models
- Is able to present data graphically and make simple interpretations based on the presentation
- Can create basic algorithms and mathematical models using common numerical tools and use them to analyse given data

Further information

Basic skills in programming help to complete this course.