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Video
What if we looked at Parkinson's as an neurological electrical problem? Brain researcher Eleftheria Pissadaki and her team study dopamine neurons, the neurons that selectively die during Parkinson's. They discovered that the bigger a neuron is, the more vulnerable it becomes because it simply requires more energy. This new insight is reframing the disease  and by "finding the fuse box for each neuron" and figuring out how much energy it needs, may help us neuroprotect our brain cells.
 Subjects:
 Health Sciences and Mathematics and Statistics
 Keywords:
 Brain  Diseases  Research Brain  Mathematical models
 Resource Type:
 Video

Video
Irina Kareva translates biology into mathematics and vice versa. She writes mathematical models that describe the dynamics of cancer, with the goal of developing new drugs that target tumors. "The power and beauty of mathematical modeling lies in the fact that it makes you formalize, in a very rigorous way, what we think we know," Kareva says. "It can help guide us to where we should keep looking, and where there may be a dead end." It all comes down to asking the right question and translating it to the right equation, and back.
 Subjects:
 Health Sciences and Mathematics and Statistics
 Keywords:
 Cancer  Mathematical models Cancer cells  Mathematical models
 Resource Type:
 Video

Video
During the Cold War, Soviet educators were tasked with raising citizens who could outinnovate and outbuild their American counterparts. One of their primary tools for doing so? Math. Educator Masha Gershman describes how the adaptive, highly social Soviet approach to teaching math can be deployed to prep new generations for an evershifting future.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Study teaching
 Resource Type:
 Video

Video
Mohamad Jebara loves mathematics  but he's concerned that too many students grow up thinking that this beautiful, rewarding subject is difficult and boring. His company is experimenting with a bold idea: paying students for completing weekly math homework. He explores the ethics of this model and how it's helping students  and why learning math is crucial in the era of fake news.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Study teaching
 Resource Type:
 Video

Video
The concepts behind linear regression, fitting a line to data with least squares and Rsquared, are pretty darn simple, so let's get down to it
 Course related:
 BRE366 Analytical Skills and Methods (Quantitative Research Methods)
 Subjects:
 Mathematics and Statistics
 Keywords:
 Regression analysis R (Computer program language)
 Resource Type:
 Video

ebook
"Combinatorics provides an introduction to enumeration, graph theory, and design theory. It is aimed at upperlevel undergraduate students and the exercises expect some mathematical sophistication, including a reasonable ability to construct proofs. The text is designed to be used in an undergraduate course, but could be suitable for independent study by a student with some mathematical background and understanding of proofs. It does not assume any background knowledge of combinatorics"BC Campus website.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Combinatorial analysis  Textbooks
 Resource Type:
 ebook

ebook
"Calculus arose as a tool for solving practical scientific problems through the centuries. However, it is often taught as a technical subject with rules and formulas (and occasionally theorems), devoid of its connection to applications. In this textbook, the applications form an important focal point, with emphasis on life sciences. This places the techniques and concepts into practical context, as well as motivating quantitative approaches to biology taught to undergraduates. While many of the examples have a biological flavour, the level of biology needed to understand those examples is kept at a minimum. The problems are motivated with enough detail to follow the assumptions, but are simplified for the purpose of pedagogy"BC Campus website.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Life sciences Differential calculus Textbooks
 Resource Type:
 ebook

ebook
This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long. Each chapter is covered in a week, and in the remaining two weeks I summarize the entire course, answer lots of questions, and prepare the students for the exam. I do not cover the material in the appendices in the lectures. Some of it is basic material that the students have already seen that I include for completeness and other topics are "tasters" for more advanced material that students will encounter in later courses or in their project work. Students are very curious about the notion of chaos, and I have included some material in an appendix on that concept. The focus in that appendix is only to connect it with ideas that have been developed in this course related to ODEs and to prepare them for more advanced courses in dynamical systems and ergodic theory that are available in their third and fourth years.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Differential equations Textbooks Differential equations Partial
 Resource Type:
 ebook

ebook
The pedagogical approach is anchored in formal definitions/proof of security, but in a way that I believe is more accessible than what is "traditional" in crypto. All security definitions are written in a unified and simplified "gamebased" style. For an example of what security definitions look like in this style, see the index of security definitions (which will make more sense after reading chapters 2 & 4).
 Subjects:
 Mathematics and Statistics
 Keywords:
 Textbooks Cryptography
 Resource Type:
 ebook

ebook
Game theory is an excellent topic for a nonmajors quantitative course as it develops mathematical models to understand human behavior in social, political, and economic settings. The variety of applications can appeal to a broad range of students. Additionally, students can learn mathematics through playing games, something many choose to do in their spare time! This text also includes an exploration of the ideas of game theory through the rich context of popular culture. It contains sections on applications of the concepts to popular culture. It suggests films, television shows, and novels with themes from game theory. The questions in each of these sections are intended to serve as essay prompts for writing assignments. Ancillary material are available to verified course instructors by emailing jfirkins@linfield.edu
 Subjects:
 Mathematics and Statistics
 Keywords:
 Textbooks Game theory
 Resource Type:
 ebook
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