Learn to think like an engineer with the help of these courses
Math can become intuitive with a little practice.
- Engineering is the foundation of society, from physical infrastructure to every device in your possession.
- Electrical engineering is one of the most in-demand occupations in the technological age.
- The Mathematics for Engineers Prep Bundle teaches you how to think like an engineer.
Have you ever felt like you're just not good at math? Many people feel they don't have the intuitive sense needed to grapple with mathematical concepts. Yet no one is born a math genius. As with everything, it takes time and patience.
The Mathematics for Engineers Prep Bundle teaches you how to think like an engineer through a range of math concepts, including applied calculus, machine learning, data science, and Algebra 2. This nine-course bundle will help you acquire that intuition you seek.
The first four courses are dedicated to applied calculus for engineers. Through 219 lessons you'll learn the principles of beginner to advanced calculus. Practical knowledge will be applied to 3D coordinate systems. You'll also learn how to perform mass calculations to varying densities and take a deep dive into aerospace and robotics.
With 165 lessons devoted to data science and machine learning, you'll be schooled in linear equations, single matrix, vectors, determinants, and more. The complete guide to Algebra 2 is an education in fractions, exponents, inequalities, and surds. A course on linear algebra will help you brush up on basic matrix operations and computer determinants.
Aerospace and robotics engineer Mark Misin leads you through these 560 lessons. Misin has taught thousands of people the fundamentals of math over the course of his career. You could be the next.
The Mathematics for Engineers Prep Bundle is on sale now for just $28.99 – 97% off the original price.
Price subject to change.
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A growing body of research suggests COVID-19 can cause neurological damage in some patients.
- The study examined data of cognitive performance collected from more than 84,000 people, more than 12,000 of whom had likely contracted and recovered from COVID-19.
- Compared to healthy participants, the COVID-19 group performed significantly worse on cognitive tests.
- Still, it's unclear whether COVID-19 indeed causes cognitive deficits, and, if so, whether those deficits are long lasting.
The effect size of cognitive deficits varied across three cognitive domains, which were estimated by applying principal component analysis with varimax rotation to the nine test summary scores.
Hampshire et al.<p>Participants who suffered the most severe cases of COVID-19, and had to be put on a respirator, showed cognitive "equivalent to the average 10-year decline in global performance between the ages of 20 to 70." For comparison, the study notes that the difference in cognitive performance between this group and the control "equates to an 8.5-point difference in IQ."<br></p><p>The COVID-19 group scored particularly low on tests measuring semantic problem solving and visual selective attention.</p><p style="margin-left: 20px;">"People who have recovered from COVID-19 infection show particularly pronounced problems in multiple aspects of higher cognitive or 'executive' function, an observation that accords with preliminary reports of executive dysfunction in some patients at hospital discharge," the researchers wrote.</p><p>Considering that all participants had recovered from the disease when they completed the cognitive tests, the results suggest that "COVID-19 infection likely has consequences for cognitive function that persist into the recovery phase," the researchers wrote.</p><p>Still, it's unclear whether these deficits (if indeed caused by COVID-19) are permanent, or how long they may last. But there is evidence suggesting that severe respiratory conditions can cause neurological damage. A <a href="https://link.springer.com/article/10.1186/s13054-019-2626-z" target="_blank">2011 study</a>, for example, found that people who'd been hospitalized with acute respiratory distress syndrome can suffer cognitive deficits that persist up to five years after discharge.</p>
The Block Rearrange test [featured in the Great British Intelligence Test] measures spatial problem solving. The participant is presented with a grid of coloured blocks on the left-hand side of the screen and on the right-hand side, a black silhouette made up of a subset of the shapes on the left. The participant must make the shape of the left-hand blocks match the silhouette on the right-hand side by removing blocks. The blocks fall under gravity.
Hampshire et al.<p>It's worth noting the study is limited, mainly because it didn't compare before-and-after cognitive performance of the COVID-19 group. Another possible limitation: People with lower cognitive abilities more likely to contract COVID-19 because they're more likely to put themselves in harm's way.</p><p style="margin-left: 20px;">"We consider such a relationship plausible; however, it would not explain why the observed deficits varied in scale with respiratory symptom severity," the researchers wrote. "We also note that the large and socioeconomically diverse nature of the cohort enabled us to include many potentially confounding variables in our analysis."</p>
San Diego-Area Hospitals Treat Coronavirus Patients During COVID-19 Pandemic
Photo by Mario Tama/Getty Images<p>Only time and further research will tell whether COVID-19 leaves people with lasting cognitive deficits. Scientists are already establishing long-term research projects to answer these questions, such as the <a href="https://www.cambridgebrainsciences.com/studies/covid-brain-study" target="_blank" rel="noopener noreferrer">COVID-19 Brain Study</a>, which aims to monitor the long-term health of 50,000 participants who have tested positive for the disease.</p><p>If you've been diagnosed with COVID-19 and want to enroll in the study, visit <a href="https://www.cambridgebrainsciences.com/studies/covid-brain-study" target="_blank" rel="noopener noreferrer">cambridgebrainsciences.com/studies/covid-brain-study</a>.</p>
A study looks at the ingredients of a good scare.
Catching fear in a bottle<img type="lazy-image" data-runner-src="https://assets.rebelmouse.io/eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpbWFnZSI6Imh0dHBzOi8vYXNzZXRzLnJibC5tcy8yNDYyNzg1Ny9vcmlnaW4uanBnIiwiZXhwaXJlc19hdCI6MTYyOTQwMTcyMn0.WtpJ1E_dhK2o09fBpKARynj4_p5NXeklgsXsbd7xr9w/img.jpg?width=980" id="8ff51" class="rm-shortcode" data-rm-shortcode-id="f10dd9188b173f4a36e85e9325507c6b" data-rm-shortcode-name="rebelmouse-image" />
Credit: Photo Boards/Unsplash<p>Previous studies have tracked physiological signs of fear arousal, but none have established a one-to-one correlation between that arousal and specific, actual fear events.</p><p>Andersen says that much of the research has been conducted in lab settings with weak fear stimuli, observing subjects as they experience things like scary videos. Scares in these situations tend to be weak and difficult to measure. Even harder to track in these situations is the link between enjoyment and fear. </p>
Eyes everywhere<iframe src="https://player.vimeo.com/video/109695164" width="100%" height="480" frameborder="0" scrolling="no" class="rm-shortcode" data-rm-shortcode-id="267ba87cfb8591ed5830499574d2272a"></iframe><p>Andersen and his colleagues conducted their experiments at <a href="https://dystopia.dk" target="_blank" rel="noopener noreferrer">Dystopia</a> Haunted House, a commercial attraction in Vejle, Denmark constructed in an old, run-down factory. The Recreational Fear Lab has a long-standing partnership with the spook shack.</p><p>They outfitted 100 volunteers with heart monitors and sent them on their terrifying way through the 50-room horror mansion. The facility incorporates a number of fright mechanisms including frequent jump scares in which a sudden threat takes a visitor by surprise.</p><p>Researchers surreptitiously observed their participants on closed-circuit video as they made their way through the attraction. They tracked each individual's scares, scoring them for intensity according to their visible reactions. After exiting the attraction, individuals self-reported their experiences in the haunted house.</p><p>Combining these self-reports with observer notes and each participant's heart-rate data gave the researchers subjective, behavioral, and physiological insights into the ways in which fear is experienced, and when it's a good thing or not.</p>
A pair of inverted U-shapes<p>In analyzing their data, the researchers saw two separate inverted u-shape curves. One depicted participants' enjoyment based on their self-reports and observed behavior. A similar u-curve was detected in their heart rates showing that just the right amount of heartbeat acceleration is associated with fun, but too much is too much. It's the terror Goldilocks zone.</p><p>Says Andersen, "If people are not very scared, they do not enjoy the attraction as much, and the same happens if they are too scared. Instead, it seems to be the case that a 'just-right' amount of fear is central for maximizing enjoyment."</p><p>The research suggests that being scared is enjoyable when it represents just a quick minor physiological deviation from one's normal state. When it goes on too long, however, or triggers too severe a physiological change, it becomes disturbing. Game over.</p><p>Andersen notes that this is not dissimilar to the factors known to make interpersonal play enjoyable: just the right amount of uncertainty and surprise. These are, maybe not coincidentally, also the ingredients of a successful joke.</p>
A meteorite that smashed into a frozen lake in Michigan may explain the origins of life on Earth, finds study.
- A new paper reveals a meteorite that crashed in Michigan in 2018 contained organic matter.
- The findings support the panspermia theory and could explain the origins of life on Earth.
- The organic compounds on the meteorite were well-preserved.
Meteor streaks through Michigan sky<span style="display:block;position:relative;padding-top:56.25%;" class="rm-shortcode" data-rm-shortcode-id="80b7f30820153b35fc515592d7475f53"><iframe type="lazy-iframe" data-runner-src="https://www.youtube.com/embed/EPu2qnqMYBo?rel=0" width="100%" height="auto" frameborder="0" scrolling="no" style="position:absolute;top:0;left:0;width:100%;height:100%;"></iframe></span>
The meteorite that smashed into Strawberry Lake carried pristine extraterrestrial organic compounds.
Credit: Field Museum
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