Mathorama Chris Thiel

Not 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 Before Calculus you used Algebra to solve for x.  Now in Calculus we use Algebra to manipulate an expression to make for easy Calculus!

  How 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/15468561 Everyone can download a pdf at mathorama.com

An 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 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  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 observation 6:24 -The First Fundamental Theorem Proof11:16 - An Example of FTC1 12:51 - "Net Change Theorem" version of FTC1 with a "word problem" example15:27 -The Second Fundamental Theorem of Calculus with for examples19:05 - The End