Latest Mathematician Podcast Episodes
Summer Topic: Domains
Mathorama - July 12, 2023 14:24 - Video ★★★★★ - 1 ratingNot all functions can take any number. The set of numbers that the function can accept is called a domain. Here we review how to analyze a function to find its domain.
Some Algebra of Calculus
Mathorama - August 05, 2022 16:55 - Video ★★★★★ - 1 ratingSome Algebra of Calculus Before Calculus you used Algebra to solve for x. Now in Calculus we use Algebra to manipulate an expression to make for easy Calculus!
Volume of a Solid (Washer method) Example.
Mathorama - February 19, 2022 19:40 - Video ★★★★★ - 1 ratingHow to use a TI-84 to find the volume of a hollow solid (which is ofter referred to "the washer" method since our circular cross-sections will have a hole in them. Others prefer the name "annular disk" or "ring" SFHS students can follow this link: https://www.deltamath.com/app/assignment/15...
Intro to Volumes of Revolution: Disk Method
Mathorama - February 19, 2022 17:38 - Video ★★★★★ - 1 ratingAn introduction to finding the Volume of a solid generated by rotating an area around a line. Everyone can download a pdf at mathorama.com
More definite Integrals and Area under a Curve (4.4 p 293 # 62)
Mathorama - December 02, 2021 19:40 - Video ★★★★★ - 1 ratingMore Definite Integrals and the Area Under a Curve (4.4 p 293 # 62) With just a little information about the area of some regions, we can use the properties of integrals to figure out 6 different things!
MVT for Integrals, 1st FTC, and 2nd FTC Proofs
Mathorama - November 26, 2021 21:46 - Video ★★★★★ - 1 ratingMVT for Integrals, 1st FTC, and 2nd FTC Proofs Section 4.4 is chock full of gold. There is a lot there, so the video lets you take it in. Here are the Subjects by Time: 0:00 - The MVT for integrals (Average Value Thm) & AVERAGE VALUEs 4:20 - An example with f(x) =6 and a curious observa...
Related Rated Samples
Mathorama - October 17, 2021 17:41 - Video ★★★★★ - 1 ratingRelated Rates Example Problems Here are 7 examples of Related Rates problems.
Using L'Hôpital's Rule on an e^x Function
Mathorama - February 04, 2021 03:01 - Video ★★★★★ - 1 ratingUsing L'Hôpital's Rule on an e^x Function
Inverse Functions Have Reciprocal Slopes (5.R p 400 #39)
Mathorama - February 04, 2021 01:27 - Video ★★★★★ - 1 ratingInverse Functions Have Reciprocal Slopes (5.R p 400 #39)
A u-sub for arctan (5-R p. 400 #109)
Mathorama - February 04, 2021 00:06 - Video ★★★★★ - 1 ratingA u-sub for arctan (5-R p. 400 #109)
A Hybrid Parametric Area with d(theta) (10-R p.747 #57)
Mathorama - February 03, 2021 22:40 - Video ★★★★★ - 1 ratingA Hybrid Parametric Area with d(theta) (10-R p.747 #57)
Elliptical Orbit in a Polar Form (10.6 p745 #59)
Mathorama - February 02, 2021 05:16 - Video ★★★★★ - 1 ratingElliptical Orbit in a Polar Form (10.6 p745 #59) Not only do we answer the question at hand, we derive the polar form of a conic section. If you want to skip ahead: Minute 5:45 Finding the distance between the surface of Earth and Explorer 18 when the angle is 60 degrees Minute 12:53 P...
Definite Integral with arcsine (5.8 p387 #33)
Mathorama - February 02, 2021 04:56 - Video ★★★★★ - 1 ratingDefinite Integral with arcsine (5.8 p387 #33)
Finding a Tangent Line Implicitly on a function with e^x (5.4 p348 #65)
Mathorama - February 02, 2021 04:42 - Video ★★★★★ - 1 ratingFinding a Tangent Line Implicitly on a function with e^x (5.4 p348 #65)
Implicit Differentiation with e^x (5.4 p 348 #63)
Mathorama - February 01, 2021 18:00 - Video ★★★★★ - 1 ratingImplicit Differentiation with e^x (5.4 p 348 #63)
Verifying a Differential Equation involoving e^x (5.4 p349 #69)
Mathorama - February 01, 2021 17:44 - Video ★★★★★ - 1 ratingVerifying a Differential Equation involoving e^x (5.4 p349 #69)
A Bounded Area (def Int) with log base 4 (5.5 p359 #81)
Mathorama - February 01, 2021 03:03 - Video ★★★★★ - 1 ratingA Bounded Area (def Int) with log base 4 (5.5 p359 #81) This one has u substitution a a conversion from base 4 to bas e, confirming with the TI-84
An Indefinite Integral with Exponents (5.5 p 359 #76)
Mathorama - February 01, 2021 00:08 - Video ★★★★★ - 1 ratingAn Indefinite Integral with Exponents (5.5 p 359 #76) This includes u-substitution, and an exponential function in base 2
Derivative of a Log in base 2 (5.5 p358 #55)
Mathorama - January 31, 2021 23:53 - Video ★★★★★ - 1 ratingDerivative of a Log in base 2 (5.5 p358 #55)
Proving an old Compounded Interest Formula with L'Hôpital's Rule (5.6 p371 #90)
Mathorama - January 31, 2021 23:40 - Video ★★★★★ - 1 ratingProving an old Compounded Interest Formula with L'Hôpital's Rule (5.6 p371 #90) We demonstrate the ln technique as well as makeing a product into a ratio so you can use L'Hôpital's Rule.
Implicit Diff with arctan (5.7 p 380 #71)
Mathorama - January 31, 2021 22:49 - Video ★★★★★ - 1 ratingImplicit Diff with arctan (5.7 p 380 #71) Here we find a tangent line of a function using implicit differentiation, the product rule, the chain rule, and some careful algebra.
Derivatives of Inverse Functions on the TI-84 (5.3 p 340 #71)
Mathorama - January 31, 2021 22:01 - Video ★★★★★ - 1 ratingDerivatives of Inverse Functions on the TI-84 (5.3 p 340 #71)
The Derivative of an Inverse Function (5.3 p340 #67)
Mathorama - January 31, 2021 21:38 - Video ★★★★★ - 1 ratingThe Derivative of an Inverse Function (5.3 p340 #67) The derivative of a inverse function is the reciprocal of the derivative of the inverse function. Be mindful of the exchange of values (x,y) to (y,x) with inverse functions
Intersections of Polar Curves (10.5 p 735 #29)
Mathorama - January 31, 2021 21:17 - Video ★★★★★ - 1 ratingIntersections of Polar Curves (10.5 p 735 #29)
Limiting the Domain of a Absolute Value Function so it would have an inverse (5.3 p340 #57)
Mathorama - January 25, 2021 03:33 - Video ★★★★★ - 1 ratingLimiting the Domain of a Absolute Value Function so it would have an inverse (5.3 p340 #57)
Inverse Functions (5.3 p 340 #53)
Mathorama - January 24, 2021 19:14 - Video ★★★★★ - 1 ratingInverse Functions (5.3 p 340 #53) We have more than just the horizontal line test now, if a function is strictly monotonic, it will have an inverse.
Celsius/Fahrenheit Inverse Functions (5/3 p 340 #50)
Mathorama - January 24, 2021 18:11 - Video ★★★★★ - 1 ratingCelsius/Fahrenheit Inverse Functions (5/3 p 340 #50)
Review of a Midpoint Riemann Sum (5.2 p 331 #77)
Mathorama - January 24, 2021 16:20 - Video ★★★★★ - 1 ratingReview of a Midpoint Riemann Sum (5.2 p 331 #77)
The Area of a Region That Involves a Secant Function (5.2 p331 #71)
Mathorama - January 24, 2021 15:39 - Video ★★★★★ - 1 ratingThe Area of a Region That Involves a Secant Function (5.2 p331 #71)
Another Definite Integral without u-Substitution (5.2 p 331 #65)
Mathorama - January 23, 2021 17:56 - Video ★★★★★ - 1 ratingAnother Definite Integral without u-Substitution (5.2 p 331 #65)
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