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Mathematical models are increasingly a part of microbiological research. Here, we share our perspective on how modeling advances the discipline by: (i) enforcing logical consistency, (ii) enabling quantitative prediction, (iii) extracting…

Other Quantitative Biology · Quantitative Biology 2026-04-22 Jamie A. Lopez , Amir Erez

We present and discuss a curated selection of recent literature related to the application of quantitative techniques, tools, and topics from mathematics and data science that have been used to analyze the mathematical sciences community.…

Growing anthropogenic pressures have increased the need for robust predictive models. Meeting this demand requires approaches that can handle bigger data to yield forecasts that capture the variability and underlying uncertainty of…

Quantitative Methods · Quantitative Biology 2024-08-06 EM Wolkovich , T Jonathan Davies , William D Pearse , Michael Betancourt

In this chapter, I discuss teaching mathematical tools specifically tailored for economics students. A typical one-semester course in this area seeks to blend a range of topics: from foundational elements of subjects such as linear algebra…

History and Overview · Mathematics 2025-05-30 Eric Hillebrand

This is a case study of teaching 3D design and 3D printing in a project-based computing course for undergraduate math majors. This article discusses content organization, implementation, project grading, and includes a personal reflection.…

History and Overview · Mathematics 2022-12-16 Christopher R. H. Hanusa

We will outline our ideas for teaching in the core mathematics disciplines. They are based on our own experience in teaching at a number of universities in the USA, as well as in Europe. While some of the core ideas stay and have stayed…

History and Overview · Mathematics 2007-05-23 Palle E. T. Jorgensen

We explore how questions related to developing a sustainable human civilization can be cast in terms of astrobiology. In particular we show how ongoing astrobiological studies of the coupled relationship between life, planets and their…

Earth and Planetary Astrophysics · Physics 2013-10-16 Adam Frank , Woodruff Sullivan

Computational models pervade all branches of the exact sciences and have in recent times also started to prove to be of immense utility in some of the traditionally 'soft' sciences like ecology, sociology and politics. This volume is a…

This study explores the potential of the cybernetic method of inquiry for the problem of natural resource governance. The systems way of thinking has already enabled scientists to gain considerable headway in framing global environmental…

Systems and Control · Computer Science 2018-03-28 Talha Manzoor

Sustainability has over the past two decades emerged as a key concern in human-computer interaction, with a much critiqued focus on quantification and eco-feedback. This approach fits within a modernist framing of sustainability, treating…

Human-Computer Interaction · Computer Science 2023-04-28 Aksel Biørn-Hansen

The deep learning revolution is touching all scientific disciplines and corners of our lives as a means of harnessing the power of big data. Marine ecology is no exception. These new methods provide analysis of data from sensors, cameras,…

We discuss the relevance of studying ecology within the framework of Complexity Science from a statistical mechanics approach. Ecology is concerned with understanding how systems level properties emerge out of the multitude of interactions…

Populations and Evolution · Quantitative Biology 2007-09-14 Henrik Jeldtoft Jensen , Elsa Arcaute

Case studies are typically used to teach 'ethics', but when the content of a course is focused on formulae and proofs, a case analysis and the knowledge, skills, and abilities they require can be distracting. Moreover, case analyses are…

Applications · Statistics 2023-10-03 Rochelle E Tractenberg

We propose a semester-long Bayesian statistics course for undergraduate students with calculus and probability background. We cultivate students' Bayesian thinking with Bayesian methods applied to real data problems. We leverage modern…

Other Statistics · Statistics 2020-08-31 Jingchen Hu

Biology is data-rich, and it is equally rich in concepts and hypotheses. Part of trying to understand biological processes and systems is therefore to confront our ideas and hypotheses with data using statistical methods to determine the…

Quantitative Methods · Quantitative Biology 2022-06-22 Sean T. Vittadello , Michael P. H. Stumpf

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional methods frequently struggle with the inherent complexity,…

Machine Learning · Computer Science 2025-03-06 Runlong Yu , Shengyu Chen , Yiqun Xie , Xiaowei Jia

In this short review, I will summarize my research experience in three fields in applied mathematics: mathematical biology, applied probability, and applied discrete mathematics. Specifically, I will show how each project was initiated, and…

General Mathematics · Mathematics 2023-01-18 Yue Wang

Teaching applied ethics in computer science has shifted from a perspective of teaching about professional codes of conduct and an emphasis on risk management towards a broader understanding of the impacts of computing on humanity and the…

Computers and Society · Computer Science 2025-02-18 Stacy A. Doore , Michelle Trim , Joycelyn Streator , Richard L. Blumenthal , Atri Rudra , Robert B. Schnabel

Statistics experiences a storm around the perceived misuse and possible abuse of its methods in the context of the so-called reproducibility crisis. The methods and styles of quantification practiced in mathematical modelling rarely make it…

Methodology · Statistics 2019-08-20 Andrea Saltelli

The rapid advances in technology over the last decade have significantly altered the nature of engineering knowledge and skills required in the modern industries. In response to the changing professional requirements, engineering…

History and Overview · Mathematics 2022-07-12 Firuz Kamalov , Ho-Hon Leung