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Video
Stanford Electrical Engineering Course on Convex Optimization.
 Course related:
 AMA4850 Optimization Methods
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical optimization Convex functions
 Resource Type:
 Video

Others
Linear programming, mathematical modeling technique in which a linear function is maximized or minimized when subjected to various constraints. This technique has been useful for guiding quantitative decisions in business planning, in industrial engineering, and—to a lesser extent—in the social and physical sciences.
 Course related:
 AAE3009 Operations Research and Computational Analytics in Air Transport Operations
 Subjects:
 Mathematics and Statistics
 Keywords:
 Linear programming
 Resource Type:
 Others

Courseware
This course has been designed for independent study. It provides everything you will need to understand the concepts covered in the course. The materials include:
A complete set of Lecture Videos by Professor Gilbert Strang.
Summary Notes for all videos along with suggested readings in Prof. Strang’s textbook Linear Algebra.
Problem Solving Videos on every topic taught by an experienced MIT Recitation Instructor.
Problem Sets to do on your own with Solutions to check your answers against when you’re done.
A selection of Java® Demonstrations to illustrate key concepts.
A full set of Exams with Solutions, including review material to help you prepare.
 Course related:
 AMA1120 Basic Mathematics II
 Subjects:
 Mathematics and Statistics
 Keywords:
 Algebras Linear
 Resource Type:
 Courseware

Video
With calculus well behind us, it's time to enter the next major topic in any study of mathematics. Linear Algebra! The name doesn't sound very intimidating, but there are some pretty abstract concepts in this subject. Let's start nice and easy simply by learning about what this subject covers and some basic terminology.
 Course related:
 COMP4434 Big Data Analytics
 Subjects:
 Mathematics and Statistics
 Keywords:
 Algebras Linear
 Resource Type:
 Video

Others
In these comprehensive video courses, created by Santiago Basulto, you will learn the whole process of data analysis. You'll be reading data from multiple sources (CSV, SQL, Excel), process that data using NumPy and Pandas, and visualize it using Matplotlib and Seaborn, Additionally, we've included a thorough Jupyter Notebook course, and a quick Python reference to refresh your programming skills.
 Course related:
 AMA1600 Fundamentals of AI and Data Analytics and AMA1751 Linear Algebra
 Subjects:
 Mathematics and Statistics and Computing
 Keywords:
 Computer programming Computer science Python (Computer program language)
 Resource Type:
 Others

Others
We offer mathematics in an enjoyable and easytolearn manner, because we believe that mathematics is fun.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics
 Resource Type:
 Others

Video
Lecture videos from Gilbert Strang's course on Linear Algebra at MIT.
 Course related:
 AMA1120 Basic Mathematics II  Calculus and Linear Algebra
 Subjects:
 Mathematics and Statistics
 Keywords:
 Algebras Linear
 Resource Type:
 Video

Video
This course is an introduction to game theory and strategic thinking. Ideas such as dominance, backward induction, Nash equilibrium, evolutionary stability, commitment, credibility, asymmetric information, adverse selection, and signaling are discussed and applied to games played in class and to examples drawn from economics, politics, the movies, and elsewhere.
 Subjects:
 Mathematics and Statistics and Economics
 Keywords:
 Game theory
 Resource Type:
 Video

Video
Before the advent of computers around 1950, optimization centered either on smalldimensional problems solved by looking at zeroes of first derivatives and signs of second derivatives, or on infinitedimensional problems about curves and surfaces. In both cases, "variations" were employed to understand how a local solution might be characterized. Computers changed the picture by opening the possibility of solving largescale problems involving inequalities, instead of only equations. Inequalities had to be recognized as important because the decisions to be optimized were constrained by the need to respect many upper or lower bounds on their feasibility. A new kind of mathematical analysis, beyond traditional calculus, had to be developed to address these needs. It built first on appealing to the convexity of sets and functions, but went on to amazingly broad and successful concepts of variational geometry, subgradients, subderivatives, and variational convergence beyond just that. This talk will explain these revolutionary developments and why there were essential.
Event date: 1/11/2022
Speaker: Prof. Terry Rockafellar (University of Washington)
Hosted by: Department of Applied Mathematics
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical optimization Computer science  Mathematics Convex sets Convex functions
 Resource Type:
 Video

Video
Adaptive computation is of great importance in numerical simulations. The ideas for adaptive computations can be dated back to adaptive finite element methods in 1970s. In this talk, we shall first review some recent development for adaptive methods with some application. Then, we will propose a deep adaptive sampling method for solving PDEs where deep neural networks are utilized to approximate the solutions. In particular, we propose the failure informed PINNs (FIPINNs), which can adaptively refine the training set with the goal of reducing the failure probability. Compared with the neural network approximation obtained with uniformly distributed collocation points, the proposed algorithms can significantly improve the accuracy, especially for low regularity and highdimensional problems.
Event date: 18/10/2022
Speaker: Prof. Tao Tang (Beijing Normal UniversityHong Kong Baptist University United International College)
Hosted by: Department of Applied Mathematics
 Subjects:
 Mathematics and Statistics
 Keywords:
 Adaptive computing systems Mathematical models Sampling (Statistics) Differential equations Partial  Numerical solutions
 Resource Type:
 Video

Video
Convex Matrix Optimization (MOP) arises in a wide variety of applications. The last three decades have seen dramatic advances in the theory and practice of matrix optimization because of its extremely powerful modeling capability. In particular, semidefinite programming (SP) and its generalizations have been widely used to model problems in applications such as combinatorial and polynomial optimization, covariance matrix estimation, matrix completion and sensor network localization. The first part of the talk will describe the primaldual interiorpoint methods (IPMs) implemented in SDPT3 for solving medium scale SP, followed by inexact IPMs (with linear systems solved by iterative solvers) for large scale SDP and discussions on their inherent limitations. The second part will present algorithmic advances for solving large scale SDP based on the proximalpoint or augmented Lagrangian framework In particular, we describe the design and implementation of an augmented Lagrangian based method (called SDPNAL+) for solving SDP problems with large number of linear constraints. The last part of the talk will focus on recent advances on using a combination of local search methods and convex lifting to solve lowrank factorization models of SP problems.
Event date: 11/10/2022
Speaker: Prof. KimChuan Toh (National University of Singapore)
Hosted by: Department of Applied Mathematics
 Subjects:
 Mathematics and Statistics
 Keywords:
 Convex programming Semidefinite programming
 Resource Type:
 Video

Video
We introduce a DimensionReduced SecondOrder Method (DRSOM) for convex and nonconvex (unconstrained) optimization. Under a trustregionlike framework, our method preserves the convergence of the secondorder method while using only Hessianvector products in two directions. Moreover; the computational overhead remains comparable to the firstorder such as the gradient descent method. We show that the method has a local superlinear convergence and a global convergence rate of 0(∈3/2) to satisfy the firstorder and secondorder conditions under a commonly used approximated Hessian assumption. We further show that this assumption can be removed if we perform one step of the Krylov subspace method at the end of the algorithm, which makes DRSOM the first firstordertype algorithm to achieve this complexity bound. The applicability and performance of DRSOM are exhibited by various computational experiments in logistic regression, L2Lp minimization, sensor network localization, neural network training, and policy optimization in reinforcement learning. For neural networks, our preliminary implementation seems to gain computational advantages in terms of training accuracy and iteration complexity over stateoftheart firstorder methods including SGD and ADAM. For policy optimization, our experiments show that DRSOM compares favorably with popular policy gradient methods in terms of the effectiveness and robustness.
Event date: 19/09/2022
Speaker: Prof. Yinyu Ye (Stanford University)
Hosted by: Department of Applied Mathematics
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical optimization Convex programming Nonconvex programming
 Resource Type:
 Video

Video
In a lively show, mathemagician Arthur Benjamin races a team of calculators to figure out 3digit squares, solves another massive mental equation and guesses a few birthdays. How does he do it? He’ll tell you.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mental arithmetic Mental calculators
 Resource Type:
 Video

Video
By analyzing raw data on violent incidents in the Iraq war and others, Sean Gourley and his team claim to have found a surprisingly strong mathematical relationship linking the fatality and frequency of attacks.
 Subjects:
 Mathematics and Statistics
 Keywords:
 War  Mathematical models
 Resource Type:
 Video

Video
Today's math curriculum is teaching students to expect  and excel at  paintbynumbers classwork, robbing kids of a skill more important than solving problems: formulating them. Dan Meyer shows classroomtested math exercises that prompt students to stop and think.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Study teaching
 Resource Type:
 Video

Video
What can mathematics say about history? According to TED Fellow JeanBaptiste Michel, quite a lot. From changes to language to the deadliness of wars, he shows how digitized history is just starting to reveal deep underlying patterns.
 Subjects:
 Mathematics and Statistics
 Keywords:
 History  Mathematical models
 Resource Type:
 Video

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
Finding the right mate is no cakewalk  but is it even mathematically likely? In a charming talk, mathematician Hannah Fry shows patterns in how we look for love, and gives her top three tips (verified by math!) for finding that special someone.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematical statistics Online dating
 Resource Type:
 Video

Video
With humor and charm, mathematician Eduardo Sáenz de Cabezón answers a question that's wracked the brains of bored students the world over: What is math for? He shows the beauty of math as the backbone of science — and shows that theorems, not diamonds, are forever. In Spanish, with English subtitles.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics
 Resource Type:
 Video

Video
Jim Simons was a mathematician and cryptographer who realized: the complex math he used to break codes could help explain patterns in the world of finance. Billions later, he's working to support the next generation of math teachers and scholars. TED's Chris Anderson sits down with Simons to talk about his extraordinary life in numbers.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Stocks  Mathematical models Simons James Harris Mathematics  Study teaching
 Resource Type:
 Video

Video
Pascal's triangle, which at first may just look like a neatly arranged stack of numbers, is actually a mathematical treasure trove. But what about it has so intrigued mathematicians the world over? Wajdi Mohamed Ratemi shows how Pascal's triangle is full of patterns and secrets.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Pascal's triangle
 Resource Type:
 Video

Video
Hidden truths permeate our world; they're inaccessible to our senses, but math allows us to go beyond our intuition to uncover their mysteries. In this survey of mathematical breakthroughs, Fields Medal winner Cédric Villani speaks to the thrill of discovery and details the sometimes perplexing life of a mathematician. "Beautiful mathematical explanations are not only for our pleasure," he says. "They change our vision of the world."
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics
 Resource Type:
 Video

Video
Unlock the mysteries and inner workings of the world through one of the most imaginative art forms ever  mathematics  with Roger Antonsen, as he explains how a slight change in perspective can reveal patterns, numbers and formulas as the gateways to empathy and understanding.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics
 Resource Type:
 Video

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
How do we make sense of a world that doesn't? By looking in unexpected places, says mathematician Eugenia Cheng. She explains how applying concepts from abstract mathematics to daily life can lead us to a deeper understanding of things like the root of anger and the function of privilege. Learn more about how this surprising tool can help us to empathize with each other.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Social aspects Equality
 Resource Type:
 Video

Video
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  History Bourbaki Nicolas Functions
 Resource Type:
 Video

Video
Consider the following sentence: "This statement is false." Is that true? If so, that would make the statement false. But if it's false, then the statement is true. This sentence creates an unsolvable paradox; if it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Incompleteness theorems Gödel's theorem
 Resource Type:
 Video

Video
Throughout his life, Hrabowski has loved the intersection of math and language. The challenge of finding clear, simple language to explain complex math problems to others is part of what drove his decision to focus on teaching math. Hrabowski points out that math and statistics provide the tools for not only for engineers and scientists to do their work, but also for physicians, accountants, social scientists, business owners and even university administrators!
 Subjects:
 Mathematics and Statistics
 Keywords:
 Applied mathematics
 Resource Type:
 Video

Video
Robert Lang is a pioneer of the newest kind of origami  using math and engineering principles to fold mindblowingly intricate designs that are beautiful and, sometimes, very useful.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Origami  Mathematics
 Resource Type:
 Video

Video
Margaret Wertheim leads a project to recreate the creatures of the coral reefs using a crochet technique invented by a mathematician  celebrating the amazements of the reef, and deepdiving into the hyperbolic geometry underlying coral creation.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Crocheting Coral reef ecology
 Resource Type:
 Video

Video
From rockets to stock markets, many of humanity's most thrilling creations are powered by math. So why do kids lose interest in it? Conrad Wolfram says the part of math we teach  calculation by hand  isn't just tedious, it's mostly irrelevant to real mathematics and the real world. He presents his radical idea: teaching kids math through computer programming.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Study teaching
 Resource Type:
 Video

Video
Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities  that wealth, crime rate, walking speed and many other aspects of a city can be deduced from a single number: the city's population. In this mindbending talk from TEDGlobal he shows how it works and how similar laws hold for organisms and corporations.
 Subjects:
 Environmental Engineering and Mathematics and Statistics
 Keywords:
 Cities towns  Growth  Econometric models Sustainable urban development
 Resource Type:
 Video

Video
Scott Rickard set out to engineer the ugliest possible piece of music, devoid of repetition, using a mathematical concept known as the Costas Array. In this surprisingly entertaining talk, he shares the math behind musical beauty ... and its opposite.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Repetition in music Mathematics Composition (Music)
 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
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Philosophy
 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
In this engaging talk, high school math teacher and YouTube star Eddie Woo shares his passion for mathematics, calling it an extra sense that we can all access. Using realworld examples of geometry, he encourages everyone to seek out the patterns around them for "a whole new way to see the world."
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics
 Resource Type:
 Video

Video
Mathematics is not about following rules, it's about playing—and exploring, fighting, looking for clues, and sometimes even breaking things, according to Dan Finkel. In this playful, inspiring talk, the founder of Math for Love offers teachers and parents alike a fivestep guide to sharing the beauty and playfulness of mathematical thinking with children.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Mathematics  Study teaching
 Resource Type:
 Video

Video
Origami, which literally translates to "folding paper," is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. The same simple concepts yield everything from a paper crane with about 20 steps, to a dragon with over 1,000 steps. Evan Zodl explores the ancient art form.
 Subjects:
 Mathematics and Statistics
 Keywords:
 Origami  Mathematics
 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

Others
Fuzzy Logic Toolbox™ provides MATLAB® functions, apps, and a Simulink® block for analyzing, designing, and simulating systems based on fuzzy logic. The product guides you through the steps of designing fuzzy inference systems. Functions are provided for many common methods, including fuzzy clustering and adaptive neurofuzzy learning. The toolbox lets you model complex system behaviors using simple logic rules, and then implement these rules in a fuzzy inference system. You can use it as a standalone fuzzy inference engine. Alternatively, you can use fuzzy inference blocks in Simulink and simulate the fuzzy systems within a comprehensive model of the entire dynamic system.
 Course related:
 SD5804 Design Research Methods
 Subjects:
 Computing and Mathematics and Statistics
 Keywords:
 Fuzzy systems Fuzzy logic
 Resource Type:
 Others

Video
This channel contains a complete list of physics videos, as well as hundreds of chemistry, astronomy, math, and mechanical engineering videos. The physics videos explain the fundamental concepts of physics with some easy to follow examples on how to solve physics problems. The chemistry videos cover all the basic topics of chemistry, the astronomy videos explain the wonders of Earth and our Universe, and the math videos cover many topics in algebra, trigonometry, precalculus, calculus and differential equations.
 Subjects:
 Mechanical Engineering, Cosmology and Astronomy, Electrical Engineering, Chemistry, Mathematics and Statistics, and Physics
 Keywords:
 Mechanical engineering Physics Mathematics Kalman filtering Chemistry Electrical engineering Astronomy
 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

ejournal
In this journal platform, you can find the articles which published under the Creative Commons AttributionNonCommercial 4.0 International License. The journal covers a various disciplines, including:
Biomedical & Life Sciences
Business & Management
Chemistry & Material Science
Computer & Communications
Earth & Environmental Science
Engineering
Humanities
Physics & Mathematics
Social Sciences
 Subjects:
 Management, Physics, Chemistry, Computing, Mathematics and Statistics, Biology, and Environmental Sciences
 Keywords:
 Industrial management Computer science Management Physics Mathematics Social Sciences Chemistry Engineering Environmental sciences Humanities Biology
 Resource Type:
 ejournal

ejournal
Maxwell Scientific Publication Corp. operates as an independent science and technology publisher with a global reputation for quality products and services to contribute to the advancement of research knowledge. In this journal platform, you can find the articles which published under the open license. The journal including the disciplines:
Agricultural Sciences
Business Management & Economics Computer & Information Technology
Engineering
Food Science and Technology
Mathematics
Medicines
Social Sciences
 Subjects:
 Health Sciences, Environmental Sciences, Physics, Economics, Chemistry, Computing, Mathematics and Statistics, Biology, Management, Medicine, and Food Science
 Keywords:
 Statistics Science Periodicals Industrial management Food science Agriculture Fisheries Medicine Mathematics Life sciences Economics Technology Dairying Social sciences Environmental sciences Engineering Aquatic sciences Information technology Food industry trade
 Resource Type:
 ejournal

ejournal
In this journal platform, you can find the articles which published under the open license. The journal including the disciplines:
Biomedical & Life Science
Business & Economics
Chemistry & Materials Science
Computer Science & Communication
Earth & Environmental Science
Engineering
Medicine & Healthcare
Physics & Mathematics
Social Science & Humanities
 Subjects:
 Health Sciences, Environmental Sciences, Physics, Economics, Chemistry, Computing, Mathematics and Statistics, and Biology
 Keywords:
 Science Periodicals Industrial management Computer science Physics Mathematics Life sciences Economics Technology Chemistry Social sciences Environmental sciences Engineering Materials science Medicine
 Resource Type:
 ejournal

ejournal
In this journal platform, you can find the articles which published under the open license. The journal including the disciplines:
Biological Sciences
Medicine
Case Reports
Physical Sciences
Social Sciences and Education
Mathematics, Engineering, and Computer Science
 Subjects:
 Medicine, Chemistry, Computing, Mathematics and Statistics, Biology, and Physics
 Keywords:
 Science Periodicals Computer science Physics Mathematics Education Technology Social sciences Environmental sciences Engineering Biology Medicine Physical sciences
 Resource Type:
 ejournal