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@@ -135,9 +135,7 @@ <h2>Real-world problems</h2>
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<p>We will take applications such as climate change and show how you can participate in the big open source community looking to find solutions to challenging problems with exposure to github and parallel computing.</p>
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<p>You will learn mathematical ideas by immersion into the mathematical process, performing experiments, seeing the connections, and seeing just how much fun math can be.</p>
<p>Our course material is built using real code, and instead of a book, we have a series of interactive <em>notebooks</em>. <strong>On our website, you can play with sliders, buttons and images to interact with our simulations.</strong> You can even go further, and modify and run any code on our website!</p>
<p>In literature it’s not enough to just know the technicalities of grammar. In music it’s not enough to learn the scales. The goal is to communicate experiences and emotions. For a computer scientist, it’s not enough to write a working program, the program should be <strong>written with beautiful high level abstractions that speak to your audience</strong>. This class will show you how.</p>
<h3>Sampling and Random Variables</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Sampling and Random Variables</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136196576-70e45c9d-ef0e-4498-bf61-58d9ae854c3e.png">
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<h3>Modeling with Stochastic Simulation</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Modeling with Stochastic Simulation</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136196572-b11974d5-7335-4678-9092-630e034bbe8f.png">
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<h3>Random Variables as Types</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Random Variables as Types</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136196570-478bbb89-05fb-4799-99a0-0ede06354cb6.png">
<h3>ODEs and parameterized types</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>ODEs and parameterized types</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136199713-25eb2e90-c5cd-4e11-8463-6f6069a81a51.png">
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<h3>Why we can't predict the weather</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Why we can't predict the weather</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136199708-af8acad2-4172-4fa7-911e-e30300efb5ee.png">
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<h3>Our first climate model</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Our first climate model</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136199705-7bdb6bb0-8698-43a1-87e6-c073ab102da5.png">
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<h3>How to collaborate on software</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>How to collaborate on software</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136199704-ba6d0586-34bf-490c-8fd0-6959ab42cd23.png">
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<h3>Snowball Earth and hysteresis</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Snowball Earth and hysteresis</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136199703-5edb4791-f9c0-4872-b0a7-7c9b1b6502d5.png">
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<h3>Advection and diffusion in 1D</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Advection and diffusion in 1D</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136200627-8211654f-7730-4f4a-8933-5b64164806c3.gif">
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<h3>Resistors, stencils and climate models</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Resistors, stencils and climate models</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136200635-33c007ff-89f6-48dc-b1d3-eb56fd16003e.gif">
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<h3>Advection and diffusion in 2D</h3><imgsrc="https://user-images.githubusercontent.com/6933510/134906707-ee1b8bed-cf2d-42cc-a2e9-a81adb56c211.png">
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<h3>Advection and diffusion in 2D</h3><imgsrc="https://user-images.githubusercontent.com/6933510/136200688-e3c6d6ee-808c-433f-8252-af6ad278fb4d.gif">
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