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This video demonstrates one of the most important ideas in calculus: how a finite summation gradually approaches the exact value of a definite integral. Using the function sin(x) over the interval from 0 to π/2, the video illustrates how increasing the number of rectangles produces a more accurate approximation of the area under the curve ...
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One integral. FOUR Calculus 2 techniques. 👀 Your latest Integral of the Day is a classic Calc 2 problem that every student should know how to tackle. Watch the full walkthrough on my YouTube channel, Math with Professor V. You’ll also find full video lecture libraries in Precalculus, Trigonometry, Calculus 1, 2 & 3, and Differential Equations on YouTube. For more structured courses with guided notes, problem sets, study guides, and sample exams, head to ProfessorVMath.com. XOXO, Professor V #Ma
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Convolution is a topic many students find challenging. In this video, I demonstrate the graphical method for solving convolution integrals. Step 1: Graph the two functions/signals Step 2: Change the independent variable from 𝑡 to 𝜏 Step 3: Choose one of the two functions to flip (reflect about the vertical axis) Step 4: Give this reflected signal a horizontal translation/shift of 𝑡 units. Step 5: Investigate the regions of overlap between this transformed signal and the other signal. Set up a
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Convolution is a topic many students find challenging. In this video, I demonstrate the graphical method for solving convolution integrals. Step 1: Graph the two functions/signals Step 2: Change the independent variable from 𝑡 to 𝜏 Step 3: Choose one of the two functions to flip (reflect about the vertical axis) Step 4: Give this reflected signal a horizontal translation/shift of 𝑡 units. Step 5: Investigate the regions of overlap between this transformed signal and the other signal. Set up a
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