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VectorCalculus&LiveMath
by Davis/Porta/Uhl
Converted to LiveMath by Robert Curtis

VC.02 - Give It a Try - VC.02.G7: Using the normal vector to bounce light beams off surfaces

  • V2: VC.02 - Perpendicularity:
    • V2.3: VC.02 - Give It a Try:
      • V2.3.g: VC.02.G7: Using the normal vector to bounce light beams off surfaces:
        • V2.3.g.1: LiveMath Help Movie
        • V2.3.g.2: LiveMath Notebook
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Distance Calculus - Student Reviews

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Date Posted: Jan 12, 2020
Review by: Anonymous
Courses Completed: Calculus I
Review: This course is amazing! I took it as a requirement for admission to an MBA program, and couldn't have been happier with the quality and rigor of the course. I previously took calculus two times (at a public high school and then a large public university commonly cited as a "public ivy"), this course was by far the best and *finally* made the concepts click. Previously I had no idea what was going on because terrible PhD students were teaching the course and saying stuff like "a derivative is the slope of a tangent line" - ??? but what does that mean ???, but the instructors in the Shorter University course explain everything in ways where it FINALLY made sense (e.g., "imagine a roller coaster hitting the top of a hill, there's a moment where it shifts momentum and you're not accelerating or decelerating, that's what a 0 rate of change is - that's when the derivative would be zero"). They explain everything in multiple ways and relate it to other concepts. It all made perfect sense when I finally had a good instructor. Really recommend this class
Transferred Credits to: The Wharton School, UPenn



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Date Posted: Jun 6, 2020
Review by: Douglas Z.
Courses Completed: Multivariable Calculus, Differential Equations, Linear Algebra, Probability Theory
Review: I loved these courses. So in depth and comprehensive. The mix of software and math curriculum was tremendously helpful to my future studies and career in engineering. I highly recommend these courses if you are bored of textbook courses.
Transferred Credits to: University of Massachusetts, Amherst



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Date Posted: Apr 6, 2020
Review by: Paul Simmons
Courses Completed: Multivariable Calculus, Differential Equations
Review: I took Multivariable and Diff Eq during the summer. The DiffEq course was awesome - very useful for my physics and engineering course. I was unsure about Mathematica at first, but I got the hang of it quickly. Thank you Distance Calculus!
Transferred Credits to: University of Oregon