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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

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 Renaissanceera 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

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

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

ebook
"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:
 ebook

ebook
"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 openended). 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:
 ebook

ebook
"This book is meant to be a textbook for a standard onesemester introductory statistics course for general education students.Over time the core content of this course has developed into a welldefined body of material that is substantial for a onesemester 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:
 ebook

Video
In this video produced at The University of Manchester in 1972 the eminent Cornelius Lanczos is interviewed on his contributions to applied mathematics. Copyright by The University of Manchester.
 Course related:
 AMA613 Mathematics Seminar and ELC6001 Presentation Skills for Research Students
 Subjects:
 Mathematics and Statistics
 Keywords:
 Interviews Lanczos Cornelius 18931974
 Resource Type:
 Video

Video
Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilondelta definition of limits.
 Course related:
 AMA1110 Basic Mathematics I – Calculus and Probability & Statistics and BRE2031 Environmental Science
 Subjects:
 Mathematics and Statistics
 Keywords:
 Differential calculus
 Resource Type:
 Video

ebook
This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature highschool students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics Textbooks
 Resource Type:
 ebook
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