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Hi! My name is Vaibhav, and today we will learn about functions. Functions are very important concept, both for your engineering entrance exams and also to understand various concepts in mathematics. It's a very fundamental concept, and is used to describe a lot of phenomenon, including physical and chemical phenomena. And, also a lot of chapters we will learn further on such as limits, derivatives, continuity or be it any other chapter in mathematics, knowing functions is very important. It is a very fundamental chapter. It has various definitions, and so a lot of use for the next topics that you will learn. So, we will start with an intuitive definition of functions. Something that we will try to understand using examples, and then we will try to go into a more mathematically precise definition. Functions are used to describe, a special relation between two variables. So, here the word "relation" is a mathematical concept that we will understand later; but...

AKINDELE AKINROPO: Hello. My name is Akindele O. Akinropo. I'm an urban planner studying sustainable development in Malaysia. The study of this course in this video compares shopping at two malls. The first one is Jusco mall located in the heart of Bukit Indah in Johor, and the other is Alamanda in Putrajaya, the administrative headquarters of Malaysia. In this video, I want to share with you my research on the sustainable dimensions of shopping malls. Sustainable development means different things to different people. However, it generally refers to using environmental resources in a way that allows other generations to continue to use and preserve it. Shopping in malls can be sustainable under certain conditions. For instance, the processes of siting, building, and using malls need to be properly organized within the urban system to promote city livability and environmental performance. Mall sustainability will be guaranteed when site and operation discourage carbon...

Hello. My name is Krishna Rajagopal and I'm MIT's Dean for Digital Learning. Ordinarily, I would be recording this update for the OCW community from our offices on campus but as these are not ordinary times I find myself delivering this message to you from my home in the same way that so many MIT faculty along with educators all around the world are right now teaching their students from home during this global pandemic. From the beginning, OpenCourseWare was meant to be a resource for anyone who wants to learn, whenever and wherever they need it. We've always believed in the urgency of our mission but never before have we seen the stakes rise so immediately as we have these past several weeks. With millions even billions of people around the world asked to stay apart, stay at home, and adapt to sudden changes in the way we all live, work, connect, and learn. This has brought particular challenges for educators and needs for all of us as learners. Here at MIT ...

GUEST SPEAKER 1: My name is My name is Abraham, this is Jason. Jason, Kevin, [INAUDIBLE] And our team was called Speed Racers, and that now it's called the "Cat's Cradle." That's the name of the game. The change of the name was like a learning experience, at least the way I see it. And I'm sure my teammates will expand on this. So last week, when we did the little two-day project, one of the, I guess, the pitch we took was to make a racing game. And we had this plan that we were going to use the roll ball physics simulation mechanic to make it two simple wheels for an object. And in trying to solve... it ended up being a little harder than that. And next week we decided which is going to expand on that same project and try to finish the racing [INAUDIBLE] And the components that we tried to figure out and that we came up with making a game is something like a fail state, things that change speed, ramps, and [INAUDIBLE] But of the big debate and t...

PROFESSOR: Hi, my name is Nicole and welcome to recitation. Today we are going to go over the practice problem for the nucleic acids, carbohydrates, and lipids section of the biochemistry module. First, if you haven't had a chance to look at this problem, please go back and look at it and then come back to recitation and we'll go over it together. Welcome back. To start this problem, we are going to go through parts A through D and then we'll take a break and come back and do parts E and F. So, this problem asks us about the molecule shown here. First, we are asked to name this molecule. By looking at this molecule, it's really easy to figure out what it is. All you have to do is notice the fatty acid tail and the phosphate head. If you remember from lecture, this should tell you that it is a phospholipid. Next, we are asked where we find these molecules in living cells and what the function of these molecules is. So if you remember from lecture, we are to...

MICHAEL HOLZWARTH: My name is Michael Holzwarth, as Philip said. First and foremost, I'd like to thank you guys in advance for giving me the opportunity to, for lack of better terms, drone on about drones for about a half hour here. Today, I'll briefly be covering the part 107 guidelines, the differences between hobby flying and 107 commercial flying, different policies, procedures, and my experience thus far in the industry. At any time, if you guys have any questions, feel free to interrupt. I don't mind. And I'm going to leave some time at the end for questions. And if any of you guys want to come up and check out the bird up here, please feel free. All right. This first slide is going to talk a little bit about my journey thus far in the UAV industry, or UAS. Bought my first drone in 2014 to take with me on a trip to Hawaii, edited up some footage, posted my content to YouTube, and got a little bit of semi-viral success-- about 50,000 views. And then a...

my name is Maria de tree and I teach 5th grade class at the Harbor Kent School in Boston and my students have been working with the staff festival and I'd like to share some of the products with you and how we made the connection between the staff festival story and the children's own story and how it helped us to go into other cultures as well not just learn a little bit about the Japanese culture and we started with them of course the work that was on the cd-rom and the children first viewed each site at random and they just got a little bit of information about each site according to what they were interested in I basically gave them free reign at the beginning so they work in small groups and travel from side to side they traveled on the train they went fishing and they went to the auction the fish auction they travel to a model shop and all the other sites until they were finally ready to focus on particular ones and what I tried to do was to encourage the ch...

My name is Erik Demaine. You should call me Erik. Welcome back to 6.046. This is Lecture 2. And today we are going to essentially fill in some of the more mathematical underpinnings of Lecture 1. So, Lecture 1, we just sort of barely got our feet wet with some analysis of algorithms, insertion sort and mergesort. And we needed a couple of tools. We had this big idea of asymptotics and forgetting about constants, just looking at the lead term. And so, today, we're going to develop asymptotic notation so that we know that mathematically. And we also ended up with a recurrence with mergesort, the running time of mergesort, so we need to see how to solve recurrences. And we will do those two things today. Question? Yes, I will speak louder. Thanks. Good. Even though I have a microphone, I am not amplified. OK, so let's start with asymptotic notation. We have seen some basic asymptotic notation. I am sure you have seen it in other classes before, things like big O-nota...