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Zoekresultaten (8)

HBO/WO

MBO

13 november 2026

Calculus Legacy

What if learning calculus felt like embarking on an adventure? Calculus Legacy is a cooperative, narrative-driven board game that transforms undergraduate calculus into an immersive, collaborative, and problem-based learning experience. Rooted in Game-Based Learning and Maastricht University's Problem-Based Learning (PBL) philosophy, it challenges students to solve mathematical problems, make meaningful decisions, and shape their own evolving story. Calculus Legacy is designed for first-year undergraduate students taking an introductory calculus course, particularly in STEM and engineering programs. It is intended for use in face-to-face, small-group teaching settings, such as tutorials or supervised work sessions, with groups of 4–7 students. The game complements traditional lectures by replacing conventional tutorial exercises and activities with a structured, game-based learning experience. It consists of seven interconnected sessions of approximately 90 minutes each, covering functions, limits, derivatives, applications of derivatives, integrals, applications of integrals, and differential equations. Students progressively develop their mathematical understanding, problem-solving abilities, and communication skills. Three core game mechanisms bring the experience to life: a role system, an event-deck system, and an evolving narrative. Through legacy mechanics, decisions and achievements in earlier sessions influence subsequent sessions, making every group's journey unique. The seven sessions are designed to be played sequentially as one continuous campaign, allowing students to build their mathematical knowledge, collaborate with peers, and create their own legacy. This resource is primarily intended for teachers and course coordinators and provides the complete set of game materials and instructional resources needed to implement Calculus Legacy in their own calculus courses. Calculus Legacy was developed with financial support from the NKO Comenius Teaching Fellow programme and the Maastricht University Library Npuls Open Up Grant. Wat als het leren van calculus zou aanvoelen als het beginnen aan een avontuur? Calculus Legacy is een coöperatief, narratief bordspel dat calculus op universitair bachelorniveau transformeert tot een meeslepende, samenwerkingsgerichte en probleemgestuurde leerervaring. Vanuit de principes van Game-Based Learning en de Problem-Based Learning (PBL)-filosofie van Maastricht University worden studenten uitgedaagd om wiskundige problemen op te lossen, betekenisvolle beslissingen te nemen en hun eigen, zich voortdurend ontwikkelende verhaal vorm te geven. Calculus Legacy is ontwikkeld voor eerstejaars bachelorstudenten die een inleidend calculusvak volgen, met name binnen STEM- en ingenieursopleidingen. Het spel is bedoeld voor gebruik tijdens contactonderwijs in kleine groepen, bijvoorbeeld in tutorgroepen of begeleide werksessies, met groepen van 4 tot 7 studenten. Het spel vormt een aanvulling op traditionele hoorcolleges en vervangt de gebruikelijke oefeningen en activiteiten tijdens werkcolleges door een gestructureerde, spelgebaseerde leerervaring. Het bestaat uit zeven onderling verbonden sessies van elk ongeveer 90 minuten. De onderwerpen die aan bod komen zijn functies, limieten, afgeleiden, toepassingen van afgeleiden, integralen, toepassingen van integralen en differentiaalvergelijkingen. Gedurende het spel ontwikkelen studenten stapsgewijs hun wiskundig inzicht, probleemoplossend vermogen en communicatieve vaardigheden. Drie centrale spelmechanismen brengen deze leerervaring tot leven: een rollensysteem, een systeem met gebeurteniskaarten en een zich ontwikkelend verhaal. Dankzij de legacy-mechanismen hebben beslissingen en behaalde resultaten in eerdere sessies invloed op de daaropvolgende sessies. Hierdoor wordt de reis van iedere groep uniek. De zeven sessies zijn ontworpen om achtereenvolgens te worden gespeeld als één doorlopend spelavontuur. Zo kunnen studenten hun wiskundige kennis verder opbouwen, samenwerken met medestudenten en hun eigen nalatenschap creëren. Dit leermateriaal is in de eerste plaats bedoeld voor docenten en vakcoördinatoren en bevat alle spelmaterialen en didactische hulpmiddelen die nodig zijn om Calculus Legacy binnen hun eigen calculusonderwijs te implementeren. Calculus Legacy is ontwikkeld met financiële ondersteuning van het NKO Comenius Teaching Fellow-programma en de Npuls Open Up Grant van de Universiteitsbibliotheek Maastricht.

Document

Martijn Boussé, Katharina Schneider

2022

Mathematics for Biomedical Physics

Mathematics for Biomedical Physics is an open access peer-reviewed textbook geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine. Table of Contents Chapter 1: Differential Calculus Chapter 2: Integral Calculus Chapter 3: Infinite Series Interlude Chapter 4: Fourier Series Chapter 5: Complex Variables Chapter 6: Determinants Chapter 7: Matrices Chapter 8: Vector Analysis Chapter 9: Curvilinear Coordinates and Multiple Integrals Chapter 10: Vector Calculus Chapter 11: First Order Differential Equations Chapter 12: Diffusion Equation Chapter 13: Probability Distribution Functions Appendix A: Limiting Value of Sinθ/θ as θ->0 Appendix B: Appendix C: Appendix D: Areas Under the Standard Normal Curve

Open (Access) Tekst Boek

Jogindra M. Wadehra

29 augustus 2022

Online Laboratory calculus with automatic/instant Feedback (OLaF)

Students need to be able to make calculations quickly and flawlessly in the laboratory, but appear to lack the necessary skills. That is why Maastricht University developed an online tool, OLaF, with which students can independently train themselves in lab calculation skills. As a result, the students make fewer mistakes during the expensive lab sessions and teachers have more time to spend on supervising the experiments. This tool contains adaptive e-learning in which the students are presented with cases with game elements to challenge each student at his/her level. In addition, the tool should provide rich, immediate feedback that is dependent on the student's responses. The tool is initially being developed for the biomedical, medical and health science programmes at Maastricht University. The tool is widely applicable and can be used in other universities, higher education colleges and secondary schools. The teaching materials are available under a CC BY 4.0 licence on the website https://olaf.education. The source code of the developed software is available under GPLv3 to deploy yourself and to get it working on your own web server. Install Drupal 7.x (see https://www.drupal.org/project/drupal/releases) on an Apache/MySQL/PHP web server. ClosedQuestion Module via https://www.drupal.org/project/closedquestion Adaptive Case Module via https://bitbucket.org/krytbv/adaptive-case Import the questions using the zip file or create your own questions. The zip file can be requested by sending an email to: info@olaf.education

Website

Herman Popeijus, Leo Köhler

25 augustus 2021

Slagter - Drawing Deciduous and permanent teeth anatomy and pathology - Dutch labels

Deciduous (primary; milk) and permanent (adult) teeth anatomy and pathology. The anatomy of different teeth is drawn in this image, as well as pathology of the molar: dental plaque, cavities, calculus and gingivitis. Dutch labels.

Afbeelding

Ron Slagter

4 oktober 2022

Slagter - Drawing Deciduous and permanent teeth anatomy and pathology - no labels

Deciduous (primary; milk) and permanent (adult) teeth anatomy and pathology. The anatomy of different teeth is drawn in this image, as well as pathology of the molar: dental plaque, cavities, calculus and gingivitis. Version without labels.

Afbeelding

Ron Slagter

1 september 2020

Introduction to Financial Derivatives

Financial derivatives are widely used as instruments to modify exposures to various types of financial risk. Examples include call options on a stock index, interest rate derivatives such as swaptions, and credit derivatives. The theory of financial derivatives, as it has been developed in recent decades, is based on a mix of economic ideas and concepts from mathematics. The material in this Open Press textbook originates from notes for a course that the author has taught at Tilburg University for more than ten years, as part of the MSc program in Quantitative Finance and Actuarial Science. The text aims to provide students with an introduction to continuous-time models that are used to analyze derivative contracts in finance and insurance. Users are expected to have a solid background in standard calculus, linear algebra, and probability; prior experience with stochastic calculus, however, is not a prerequisite.

Open (Access) Tekst Boek

Johannes M. Schumacher

28 augustus 2025

Mathematics for Quantum Physics – 2nd edition

Mathematics for Quantum Physics provides a compact introduction to the most important mathematical tools used in quantum mechanics. The text is aimed at students who already possess basic knowledge of calculus and complex numbers. It is divided into three parts: analysis, linear algebra and probability. The focus is on examples and applications, and each section comes with a collection of exercises.

Open (Access) Tekst Boek

Peter Bruin

21 maart 2022

Medical Image Analysis

This course is a sequel to the image processing course (8DB00) in the TU/e bachelor program Biomedical Engineering. In the Medical Image Analysis course (8DC00), we concentrate on more advanced image analysis methods and on how they can be used to tackle clinical problems. Topics covered include image registration, computer-aided diagnosis and machine learning. The course has a very strong focus on programming (implementing medical image analysis methods) in Python and relies on previous knowledge of calculus and linear algebra.

Website

Maureen Eijnatten, van, Mitko Veta, Veronika Cheplygina, Daniel Krahulec, Evi M.C . Huijben