Mathematical Tools for Logistics (4cr)

Objective

In this course, you will broaden the range of mathematical tools needed in the field of technology by learning the concept of a function and the use of different types of functions in modelling technical phenomena. In addition, you will learn to process and analyse statistical data as a basis for decision-making in working life. You will learn to calculate the likelihoods or risks of different alternatives and to examine statistical dependence in data.

After completing the course, you will understand the concept of a function and be able to apply key function models, including exponential and logarithmic functions. You will master the basics of combinatorics and probability theory and be able to identify and apply the most common probability distributions of random variables. You will be able to calculate descriptive statistics of distributions and use Excel to process, visualise, and analyse mathematical models and data.

Content

- The concept of a function and related notations
- Simple function models (linear models, power and polynomial functions) and their applications
- Exponential functions and equations and their applications
- Logarithmic functions and equations and their applications
- Basics of combinatorics
- Basic rules of probability and their applications
- Discrete and continuous random variables
- The most common probability distributions and their applications
- Descriptive statistics of distributions (expected value, standard deviation, variance)
- Use of Excel (tabulating and visualising function values, distributions) and, where appropriate, other software

Assessment criteria, satisfactory (1)

Grade 1

You understand the concept of a function and recognise the most common types of functions (linear, power, exponential and logarithmic). You can use ready-made function models in simple calculations. You understand the basic ideas of combinatorics and probability and can calculate simple probabilities. You can handle simple statistical data and calculate its key figures such as mean and standard deviation. You can calculate probabilities based on statistical distributions. You can use Excel for basic calculations and for creating simple graphs with guidance.

Grade 2

You can solve basic exponential and logarithmic equations using digital tools. You can calculate probabilities and apply methods of combinatorics in routine problems. You can use different types of statistical distributions. You can use Excel for basic calculations and for creating simple graphs.

Assessment criteria, good (3)

Grade 3

You have a good command of the concept of a function and can form and interpret different function models in logistics and engineering applications. You can solve exponential and logarithmic equations and interpret the results in practical contexts. You apply the rules of combinatorics and probability systematically and consistently. You can use Excel fluently for basic calculations and for creating simple graphs.

Grade 4

You apply various function models and methods of probability calculation in a versatile way, combining different solution strategies. You can critically evaluate the suitability of models and the reliability of results. You can use Excel effectively for computation and visualisation.

Assessment criteria, excellent (5)

Grade 5

You can model and analyse new and complex technical and logistics situations by applying the methods learned in the course. You present your solutions consistently, logically and accurately, using correct mathematical notation.