Khan Academy
Khan Academy: Calculus: Cosine Taylor Series at 0 (Maclaurin)
Video lesson using a Maclaurin series to approximate a cosine function by using a polynomial function. [5:37]
Khan Academy
Khan Academy: Calculus: Line Integral Example 2 (Part 1)
Video lesson showing how to visualize and use line integrals to find the surface area along a closed curved. Problem is solved by using three different line integrals, only one of which is set up and solved in this video. [12:53]
Khan Academy
Khan Academy: Calculus: Surface Integral Ex3 Pt2: Evaluating the Outside Surface
Part 2 of a 4-part video series solving for the surface integral of a surface made of three separate parts. The second video finishes evaluating the surface integral of the second surface by substituting a trigonometric identity. [9:10]
Khan Academy
Khan Academy: Calculus: Ap Calculus Bc Exams: 2008 #1B & C
Video lesson solving the second part and introducing the third part of a free response problem from the 2008 AP Calculus BC exam about finding the area between two curves. Solution involves writing the expression for a definite integral...
Khan Academy
Khan Academy: Calculus: Calculus Bc 2008 #2A
Video lesson solving the first part and beginning the solution for the second part of a free response problem from the 2008 AP Calculus BC exam about people waiting in line to purchase tickets. The first part requires finding the average...
Khan Academy
Khan Academy: Brain Teasers: Blue Forehead Room Solution
Video explains the solution to the following brain teaser: One-hundred perfect logicians are blindfolded and each has their forehead painted blue. They all enter a room with the lights off, sit in a circle, and the lights are turned on....
Khan Academy
Khan Academy: Calculus: Proof: D/dx (Ln X) = 1/x
Video lesson proving the derivative of the natural logarithm of x function using the limit definition of a derivative. Includes link to additional practice at the top of the video. [9:52]
Khan Academy
Khan Academy: Calculus: Bounding the Error of a Taylor Polynomial Approximation
Video uses a property of the error function for a Taylor series expansion from the previous video to bound the (n+1)th derivative of the error function. Result is the Lagrange error bound. [15:08]
Khan Academy
Khan Academy: Calculus: Double Integrals 3
Video lesson showing how to compute the double integral from the previous video with respect to y first. Includes a visual representation. [8:03]
Khan Academy
Khan Academy: Calculus: Calculus: Graphing With Derivatives Example
Video lesson using the first and second derivatives to find critical and inflection points and to graph a natural logarithm function. [25:08]
Khan Academy
Khan Academy: Calculus: Triple Integrals 3
Video lesson showing how to set up a triple integral to solve for the mass of a volume between two surfaces with variable density. [11:48]
Khan Academy
Khan Academy: Quadrilateral Overview
This video tutorial [8:24] defines what a quadrilateral is and identifies and defines concave quadrilaterals, convex quadrilaterals, trapezoids, parallelgrams, rectangles, rhombi, and squares.
Khan Academy
Khan Academy: Tuberculosis: Treatment of Active Tb
Learn which medications help treat active TB disease. [12:50]
Khan Academy
Khan Academy: Tuberculosis: Primary and Secondary Tb
Learn some key features of primary TB and how it differs from secondary TB. Rishi is a pediatric infectious disease physician and works at Khan Academy.
Khan Academy
Khan Academy: Changing the Heart Rate: Chronotropic Effect
Find out exactly how your autonomic nervous system has a chronotropic effect (i.e. timing) that changes the speed of your heartbeat! Rishi is a pediatric infectious disease physician and works at Khan Academy. [12:02]
Khan Academy
Khan Academy: Diastereomers and Meso Compounds: Stereoisomers, Enantiomers,
This video looks at pairs of molecules to see if they relate to each other in obvious or less than obvious ways, for example, by having the same molecular formula but different structures. The video looks at stereoisomers, enantiomers,...
Khan Academy
Khan Academy: Influenza Prevention and Treatment: Two Flu Vaccines (Tiv, Laiv)
Explains the differences between TIV (dead virus) and LAIV (alive, but weakened virus) and who should get which one. Rishi is a pediatric infectious disease physician and works at Khan Academy. [10:53]
Khan Academy
Khan Academy: Lab Values and Concentrations: What's Inside of Blood?
Watch how centrifuging your blood decomposes it, and find out what it's made up of. The instructor is a pediatric infectious disease physician. [11:09]
Khan Academy
Khan Academy: Preload and Afterload: Frank Starling Mechanism
Carefully follow five different preload scenarios to see how each one will have a different effect on how actin and myosin line up. Rishi is a pediatric infectious disease physician and works at Khan Academy. [14:18]
Khan Academy
Khan Academy: Flu Symptoms: Flu Surveillance
Find out how many people get hospitalized and die from the flu each year, and learn how we can use the internet, and Google, to keep tabs on the flu. Rishi is a pediatric infectious disease physician and works at Khan Academy.
Khan Academy
Khan Academy: Heart Introduction: Flow Through the Heart
Learn how blood flows through the heart, and understand the difference between systemic and pulmonary blood flow. Rishi is a pediatric infectious disease physician and works at Khan Academy.
Khan Academy
Khan Academy: Miscellaneous: Systemic Thinking About Cancer
Dr. David Agus, a medical professor, discusses thinking systemically about cancer and other things, for example, by making other parts of the body healthier so the cancer can't metastasize.
Khan Academy
Khan Academy: Permeability and Membrane Potentials
Find out why a cell that is permeable to multiple ions has a membrane potential that is influenced by the ion with the highest permeability. Rishi is a pediatric infectious disease physician and works at Khan Academy.
Khan Academy
Khan Academy: Pressure Volume Loops: Understanding the Pressure Volume Loop
Figure out how all of those physiology terms - end-systolic, end-diastolic, pulse pressure, stroke volume, and ejection fraction - can be easily understood using the pressure-volume loop. Rishi is a pediatric infectious disease physician...