WEBVTT 00:00:01.630 --> 00:00:02.380 Hello, everyone. NOTE CONF {"raw":[100,100]} 00:00:02.710 --> 00:00:04.930 This is the first in a series of short videos NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:00:05.110 --> 00:00:08.770 that are focussing on the importance of mathematics within economics. NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:00:09.160 --> 00:00:11.830 Now the various videos will focus on different areas of NOTE CONF {"raw":[96,100,99,100,99,100,100,100,100,85]} 00:00:11.830 --> 00:00:14.320 mathematics and why they're important within economics. NOTE CONF {"raw":[100,99,100,100,100,96,100]} 00:00:14.620 --> 00:00:17.710 But this first video is really just looking at mathematics NOTE CONF {"raw":[100,100,100,100,98,100,100,100,100,100]} 00:00:17.710 --> 00:00:20.320 in general and why it's really important that you've got NOTE CONF {"raw":[100,100,100,100,80,100,100,77,46,98]} 00:00:20.320 --> 00:00:23.740 a good understanding of mathematics and how that's going to NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:00:23.740 --> 00:00:26.230 help you in your understanding of economics. NOTE CONF {"raw":[100,100,99,100,100,100,100]} 00:00:28.560 --> 00:00:31.950 So firstly, why do you need this good understanding of NOTE CONF {"raw":[100,100,100,94,100,100,100,100,100,100]} 00:00:31.950 --> 00:00:35.340 mathematics now in economics and in the modules that you'll NOTE CONF {"raw":[100,98,100,100,100,100,100,61,100,100]} 00:00:35.340 --> 00:00:36.510 be studying at Warwick? NOTE CONF {"raw":[100,100,100,73]} 00:00:36.810 --> 00:00:39.150 You will see that we consider problems from lots of NOTE CONF {"raw":[100,100,100,100,96,100,100,100,100,100]} 00:00:39.150 --> 00:00:40.080 different perspectives. NOTE CONF {"raw":[100,100]} 00:00:40.380 --> 00:00:42.270 So we'll think about them intuitively. NOTE CONF {"raw":[100,97,100,100,42,97]} 00:00:42.810 --> 00:00:44.880 We will think about them from a graphical point of NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:00:44.880 --> 00:00:45.140 view. NOTE CONF {"raw":[100]} 00:00:45.150 --> 00:00:48.570 So do lots of graphs, but we will also consider NOTE CONF {"raw":[73,100,100,100,73,100,100,100,100,100]} 00:00:48.570 --> 00:00:50.430 them from a mathematical point of view. NOTE CONF {"raw":[99,100,100,100,100,100,100]} 00:00:50.700 --> 00:00:53.760 We will be looking at how do we mathematically solve NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:00:53.760 --> 00:00:55.230 particular problems. NOTE CONF {"raw":[100,100]} 00:00:55.770 --> 00:00:57.480 And with that, if we're going to be looking at NOTE CONF {"raw":[100,93,100,71,99,100,100,100,100,100]} 00:00:57.660 --> 00:01:00.660 a number of different areas in economics, where you will NOTE CONF {"raw":[100,100,100,100,100,100,100,95,100,100]} 00:01:00.660 --> 00:01:03.540 see that mathematics is absolutely vital. NOTE CONF {"raw":[100,100,100,100,100,100]} 00:01:04.290 --> 00:01:06.570 So it therefore means that if you've got this really NOTE CONF {"raw":[100,60,99,100,100,100,100,100,100,100]} 00:01:06.570 --> 00:01:09.990 good understanding of mathematics, you are able to view economic NOTE CONF {"raw":[100,100,100,100,76,76,100,100,100,100]} 00:01:09.990 --> 00:01:12.510 problems from an extra perspective. NOTE CONF {"raw":[100,100,100,100,100]} 00:01:12.690 --> 00:01:15.600 You can actually go through and rather than just thinking NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:01:15.600 --> 00:01:19.800 about it or seeing how particular values are determined. NOTE CONF {"raw":[100,100,100,100,100,100,94,94,91]} 00:01:19.800 --> 00:01:23.190 So perhaps how prices are determined in markets, how we NOTE CONF {"raw":[100,100,100,100,100,100,99,100,100,100]} 00:01:23.190 --> 00:01:26.010 find a firm's profits, rather than just thinking about it NOTE CONF {"raw":[100,84,96,100,100,100,100,100,98,81]} 00:01:26.010 --> 00:01:30.210 intuitively or seeing it graphically, we can actually solve to NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:01:30.210 --> 00:01:31.800 find the actual value. NOTE CONF {"raw":[100,100,100,100]} 00:01:32.160 --> 00:01:34.980 And that is therefore very helpful when we're trying to NOTE CONF {"raw":[91,98,100,100,100,100,100,100,100,100]} 00:01:34.980 --> 00:01:39.030 solve economic problems and perhaps making policy recommendations. NOTE CONF {"raw":[100,100,100,100,100,100,100,100]} 00:01:39.510 --> 00:01:43.920 So you will see that understanding mathematics is absolutely crucial NOTE CONF {"raw":[100,100,100,100,85,100,100,100,100,100]} 00:01:43.920 --> 00:01:45.600 to your study of economics. NOTE CONF {"raw":[100,100,100,100,100]} 00:01:47.890 --> 00:01:50.350 So what are you actually going to use mathematics in NOTE CONF {"raw":[100,52,100,100,100,100,100,100,100,100]} 00:01:50.350 --> 00:01:51.040 your modules? NOTE CONF {"raw":[100,95]} 00:01:51.430 --> 00:01:53.740 Well, as you can see from the slide all the NOTE CONF {"raw":[100,100,100,100,100,100,78,100,100,100]} 00:01:53.740 --> 00:01:57.220 time, it is something that you need to be aware NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:01:57.220 --> 00:02:00.340 that it will feature in almost every aspect of economics. NOTE CONF {"raw":[93,100,100,100,98,100,100,100,100,99]} 00:02:00.640 --> 00:02:02.380 And it's not to say that it's the only way NOTE CONF {"raw":[98,100,100,100,100,94,82,100,100,100]} 00:02:02.380 --> 00:02:03.540 of considering problems. NOTE CONF {"raw":[100,100,100]} 00:02:03.550 --> 00:02:05.170 There are lots of other ways we can do it. NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:02:05.410 --> 00:02:07.480 It's just a really useful method. NOTE CONF {"raw":[100,100,100,100,100,100]} 00:02:07.750 --> 00:02:10.030 And for some people in particular, it will be the NOTE CONF {"raw":[100,100,100,100,100,100,100,91,100,100]} 00:02:10.030 --> 00:02:11.560 main method that makes sense. NOTE CONF {"raw":[100,100,100,99,100]} 00:02:12.490 --> 00:02:15.430 So I teach, what, nine microeconomics? NOTE CONF {"raw":[100,95,90,58,77,100]} 00:02:15.430 --> 00:02:18.790 One, what you will see is that in this module, NOTE CONF {"raw":[65,78,75,75,100,100,100,100,100,100]} 00:02:18.790 --> 00:02:22.900 particularly in term one, we use mathematics in almost every NOTE CONF {"raw":[100,100,99,100,95,97,100,100,100,100]} 00:02:22.900 --> 00:02:23.440 lecture. NOTE CONF {"raw":[100]} 00:02:23.860 --> 00:02:26.920 We use different types of mathematics and some of the NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:02:26.920 --> 00:02:29.380 later videos in this sequence of short videos. NOTE CONF {"raw":[100,100,100,100,100,100,100,100]} 00:02:29.590 --> 00:02:31.900 They will talk in a bit more detail about some NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:02:31.900 --> 00:02:33.910 particular topics within mathematics. NOTE CONF {"raw":[100,100,100,100]} 00:02:34.360 --> 00:02:37.840 But what you will see is even basic mathematical concepts NOTE CONF {"raw":[100,100,100,100,97,100,100,100,100,100]} 00:02:37.990 --> 00:02:41.170 are ones that will come in handy in your Mocho NOTE CONF {"raw":[58,100,100,100,100,100,100,100,100,44]} 00:02:41.190 --> 00:02:44.620 AC1 09, but also in many other modules as well. NOTE CONF {"raw":[80,93,100,100,100,100,100,99,100,100]} 00:02:44.710 --> 00:02:49.000 Almost every module will use some form of mathematics, even NOTE CONF {"raw":[100,100,96,99,100,100,100,100,100,100]} 00:02:49.000 --> 00:02:51.670 if it is basic simultaneous equations. NOTE CONF {"raw":[100,100,100,97,100,100]} 00:02:51.940 --> 00:02:54.700 So, for example, thinking about a demand function or supply NOTE CONF {"raw":[100,100,100,100,100,89,100,100,100,100]} 00:02:54.700 --> 00:02:57.550 function, we want to solve a defined quantity and price. NOTE CONF {"raw":[100,100,100,100,100,70,78,100,75,100]} 00:02:57.850 --> 00:03:01.300 You therefore need to understand that basic algebra in order NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:03:01.300 --> 00:03:03.310 to be able to solve for those types of things. NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:03:03.520 --> 00:03:06.520 The same might apply to firms and they're calculating that NOTE CONF {"raw":[100,100,87,99,99,100,99,74,90,68]} 00:03:06.520 --> 00:03:07.030 profits. NOTE CONF {"raw":[95]} 00:03:07.390 --> 00:03:10.960 So having this basic understanding of key things in economics NOTE CONF {"raw":[100,100,100,100,100,100,100,100,97,100]} 00:03:11.200 --> 00:03:13.900 when it comes to mathematics is going to really, really NOTE CONF {"raw":[100,100,100,100,100,98,100,100,100,100]} 00:03:13.900 --> 00:03:18.700 help you understand relationships between different variables and to help NOTE CONF {"raw":[100,100,100,98,100,100,100,100,100,100]} 00:03:18.700 --> 00:03:22.660 us make policy recommendations, because we've actually got the numbers, NOTE CONF {"raw":[100,100,100,100,100,100,100,100,100,100]} 00:03:22.780 --> 00:03:24.370 the data to back it up. NOTE CONF {"raw":[100,100,100,100,100,100]} 00:03:25.300 --> 00:03:27.550 So really make sure you've got a good grasp of NOTE CONF {"raw":[100,100,100,100,55,98,99,100,100,100]} 00:03:27.550 --> 00:03:30.880 mathematics and you will therefore see that that really does NOTE CONF {"raw":[100,100,100,100,100,100,99,100,100,100]} 00:03:30.880 --> 00:03:32.620 help in your study of economics. NOTE CONF {"raw":[100,99,100,100,100,100]} 00:03:32.950 --> 00:03:35.650 I hope you find the videos in this series very NOTE CONF {"raw":[100,100,100,100,100,100,100,84,100,100]} 00:03:35.650 --> 00:03:38.710 useful in picking out some of the really key areas NOTE CONF {"raw":[100,95,96,96,100,100,100,100,100,100]} 00:03:38.710 --> 00:03:41.470 in mathematics that are going to prove very helpful to NOTE CONF {"raw":[100,100,100,100,100,100,95,100,100,100]} 00:03:41.470 --> 00:03:42.820 your studies of economics. NOTE CONF {"raw":[100,69,100,100]}