Videos tagged “mathematics”

Algebra: Exponential Functions Lesson 4  Find any term in a geometric sequence
08:43In this video, we learn how to find any term in a geometric sequence if we are just given the first few terms. Our first step is to find the common ratio. Then, we look at some patterns of finding consecutive terms and see that we can represent repeatedly multiplying the common ratio by using an exponent. Going through some examples then, we see that we can find the 100th term by take the common ratio, and taking it to the 99th power, and then multiplying that by the first term.
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Algebra: Exponential Functions Lesson 3  Next Term of a Geometric Sequence (Decimal)
03:39In this video, we take the first few terms of a geometric sequence, and practice finding the common ratio so that we can find the next consecutive term. To find the common ratio, we divide consecutive terms together. In this example, the common ratio is a decimal, and so we can easily multiply it to get as many terms as we want.
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Algebra: Exponential Functions Lesson 13  Horizontal Shifts
09:08In this video, we look at exponential functions and graphs and see how to shift them horizontally right or left. We play around with a table of values and changing the function around. To really understand, we then use the Desmos graphing calculator to create an exponential function with a value h subtracting from the exponent. There is a slider for the value, h, so we can easily change the values and see how it changes the graph of the function.
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Algebra: Exponential Functions Lesson 12  Vertical Shifts
06:17In this video, we look at exponential functions and graphs, and see how to shift the graph up and down vertically. We first play around with a function and table of values to see what happens when we add a constant value to the end of a function. We then use the Desmos graphing calculator to create an exponential function with a slider where we can input different values for k, and see how changing the function results in a vertical shift of its graph.
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Algebra: Exponential Functions Lesson 10  Graphs of Functions
12:07In this video, we look at graphs of exponential functions. We look one function that is increasing, and another function that is decreasing and compare the growth of both. We use the function to create a table of values that we can then graph the points. Since this is an exponential function, we graph a smooth curve through the points to represent all the possible points that are solutions to the function. Exponential functions are different from linear functions in that they are curved and grow or decrease really fast.
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Algebra: Exponential Functions Lesson 11  End Behavior
07:18In this video, we go a step further with looking at exponential functions and graphs, and talk about the end behavior of the functions. We look at two different graphs, and talk about what is happening as the graph is increasing or decreasing along x. We see that exponential graphs grow increasingly large without bound. They also get really close to zero, as we go the other direction. To help understand what the graphs are doing, we use the function, and think about multiplying and dividing to understand the end behavior.
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Algebra: Exponential Functions Lesson 1  Intro to Geometric Sequences
06:54In this video, we begin looking at number patterns where we repeatedly multiply by the same number. We call these number patterns geometric sequences. A geometric sequence always has a starting value for the first term, and then each term after that is multiplied by a number we call the common ratio. To help understand geometric sequences, we compare them as well to arithmetic sequences and number patterns that grow by adding the same number repeatedly.
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Main hall of the Mathematic and Computing Department at Jagiellonian University
00:05Flowers, food, computers, students affiliations, international guests, MIT, logic, technical science, outstanding gardens and sometimes even fresh animals within local forrest ... Our polish "MIT" ...
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14:18
Can technology help them prove it’s their land? In the national forests of Gujarat, India, the tribal people have been seen as encroachers, thieves who dare to produce food for their families on land claimed by the government. Rama Bhai and his family have worked land in the Sagai village for generations. Sagai has no electricity, no running water. No one kept records of who was farming which plots of land. So when the laws changed and they were allowed to claim the land, they faced a challenge – how could they prove they’d been farming specific plots in the past? The technology we use to find our way to unfamiliar places came to their rescue. Learn how GPS operates, and how it, along with Google Maps, saved the day for the poorest of the poor in India. As Seen on Public Television! Recalculating covers numerous educational standards across several subject areas including Science, Mathematics, and Social Studies for grades 512. To learn more about this educational program, and which standards it covers specific to your grade, subject area, and which standards your district is using, visit our educational program summary section for this video here: http://izzit.org/products/detail.php?video=recalculating Subject Areas: ■ Economics ■ Science & Technology ■ Mathematics ■ World History/Geography Topics: ■ GPS & Satellites ■ India ■ Map Skills ■ Property Rights ■ Area & Perimeter Want more great FREE educational stuff to go with this video? Head over to http://www.izzit.org and grab the full teacher’s guide, use the online quizzes, find additional teacher resources and more! Check out our Facebook page here: https://www.facebook.com/izzit Visit our other educational programs here: http://www.izzit.org/products/index.php Make sure you enroll as an izzit.org member to receive your FREE teacher resources, click here to sign up now: http://www.izzit.org/join/index.php You can Tweet at us here: https://twitter.com/izzit_org
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Linear algebra Id.2: Solution by eigenvalueeigenvector analysis
17:50Now that we have intuited that the dynamics of the customer base populations will be essentially 1dimensional at long times, we pursue this intuition to develop an analytic description of the customer base population dynamics at all times. We use eigenvalueeigenvector analysis, which identifies directions in the state space along which dynamics are 1dimensional, and the scaling factors associated with these directions.
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