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Video
Having trouble remembering the order of operations? Let's raise the stakes a little bit. What if the future of your (theoretical) kingdom depended on it? Garth Sundem creates a world in which PEMDAS is the hero but only heroic when in the proper order.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Games in mathematics education Games -- Mathematics
- Resource Type:
- Video
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Video
What's so special about Leonardo da Vinci's Vitruvian Man? With arms outstretched, the man fills the irreconcilable spaces of a circle and a square -- symbolizing the Renaissance-era belief in the mutable nature of humankind. James Earle explains the geometric, religious and philosophical significance of this deceptively simple drawing.
- Subjects:
- History and Mathematics and Statistics
- Keywords:
- Mathematics -- Social aspects Vitruvian man (Leonardo da Vinci)
- Resource Type:
- Video
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Video
When two people join a dating website they are matched according to shared interests and how they answer a number of personal questions. But how do sites calculate the likelihood of a successful relationship? Christian Rudder one of the founders of popular dating site OKCupid details the algorithm behind 'hitting it off.'
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Dating services Computer algorithms Online dating
- Resource Type:
- Video
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Video
Berg begins his lecture with a brief history of observations of bacterial motion. He then uses physics to describe the many hurdles that E. coli must overcome as it tries to swim up or down a chemical gradient. For instance, an entity as tiny as E. coli is constantly buffeted by Brownian motion and can neither stay still nor swim in a straight line. Then there is the question of how E. coli senses a gradient and translates that information into a change in its direction of movement. And finally, how does E. coli use its flagella to generate thrust at all? In Part 2, Berg explains that E. coli travels using a series of runs, when it moves in a straight line, and tumbles, when it changes direction. During a run, all of the flagella are moving counterclockwise in a tight bundle. During a tumble, one or more flagella switch to a clockwise movement and disengage from the bundle causing a change in the swimming direction. The motor that drives the rotation of the flagella is an amazing structure made of about 20 different protein parts. Berg tells us that chemosensory receptors on the cell surface detect a chemical gradient and transfer this information, via protein phosphorylation, to the motor. This chemical modification determines the direction of motor rotation and, hence, the direction the E. coli swims. An amazing system that E. coli has been perfecting for millions of years!
- Subjects:
- Physics and Biology
- Keywords:
- Bacteria -- Motility Physics Escherichia coli
- Resource Type:
- Video
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Video
Traveling is extremely arduous for microscopic sperm -- think of a human trying to swim in a pool made of...other humans. We can compare the journey of a sperm to that of a sperm whale by calculating the Reynolds number, a prediction of how fluid will behave, often fluctuating due to size of the swimmer. Aatish Bhatia explores the great (albeit tiny) sperm's journey.
- Subjects:
- Physics
- Keywords:
- Fluid dynamics Sperm whale Spermatozoa
- Resource Type:
- Video
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Video
You stick cookie dough into an oven, and magically, you get a plate of warm, gooey cookies. Except it's not magic; it's science. Stephanie Warren explains via basic chemistry principles how the dough spreads out, at what temperature we can kill salmonella, and why that intoxicating smell wafting from your oven indicates that the cookies are ready for eating.
- Subjects:
- Chemistry and Food Science
- Keywords:
- Food -- Composition Food -- Analysis
- Resource Type:
- Video
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Video
課程簡介：微分表切線斜率，積分表曲線下圍出的面積，兩截然不同的東西透過微積分基本定理連結在一起。
- Course related:
- AMA1007 Calculus and Linear Algebra
- Subjects:
- Mathematics and Statistics
- Keywords:
- Calculus
- Resource Type:
- Video
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e-book
"Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student's place, and have chosen to err on the side of too much detail rather than not enough. An elementary text can't be better than its exercises. This text includes 2041 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and defonitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 299 completely worked out examples. Where appropriate, concepts and results are depicted in 188 figures."--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Differential equations Textbooks
- Resource Type:
- e-book
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e-book
"Precalculus (was College Algebra) is an introductory text. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended). Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. Note: this book was updated on the BC Open textbook Project site on February, 17, 2015 to include the version of the textbook with chapters on Trigonometry."--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Precalculus Textbooks
- Resource Type:
- e-book
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e-book
"This book is meant to be a textbook for a standard one-semester introductory statistics course for general education students.Over time the core content of this course has developed into a well-defined body of material that is substantial for a one-semester course. The authors believe that the students in this course are best served by a focus on the core material and not by an exposure to a plethora of peripheral topics. Therefore in writing this book we have sought to present material that comprises fully a central body of knowledge that is defined according to convention, realistic expectation with respect to course duration and students' maturity level, and our professional judgment and experience."--BCcampus website.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Statistics Textbooks
- Resource Type:
- e-book
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