Math 2B. Calculus. Lecture 17. Arc Length, Review Integration Techniques

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 17. Single-Variable Calculus -- Arc Length, Review Integration Techniques --
Instructor: Natalia L. Komarova Ph.D.

License: Creative Commons CC-BY-SA

Description: UCI Math 2B is the second quarter of Single-Variable Calculus and covers the following topics: Definite integrals; the fundamental theorem of calculus. Applications of integration including finding areas and volumes. Techniques of integration. Infinite sequences and series. Parametric and polar equations.

Recorded on November 5, 2013

[MeistroJB]

excellent clear explanations of everything. thank you Prof. Komarova - and UCI!

[matematicando]

Very very good.
Incredible and very dynamic class.

Δy = F'(x)* Δx --> dy = g'(x)*dx

(ds)^2 = (dx)^2 + (dy)^2

(ds) = √ (dx)^2 + (g'(x)* dx)^2

ds = √(1 + g'(x)^2 * dx

g'(x) = dy/dx

I'm from Brazil, and I liked the classes.

[rajendramisir]

Terrific job! After 8 years, she may be a tenured Mathematics professor at a university or maybe she is at Wall Street working for Goldman Sachs. With her ability and skill at working through complex examples, she deserves an opportunity to solve problems in Finance and Science. She has a Mathematical mindset.

[ISCDESIGNAustralia]

Its my view MATH TEACHING-LIKE ANY TEACHING SHOULD ALSO EXPLAIN 'WHY' AND THE 'REASONING'; That is when a student will TRULY understand-not just copying procedure. to UNDERSTAND is the key

[ebeb]

The moment she add that derivative, i understand that people simply afraid to ask questions - nothing smart about that

[oujohn]

She is just an incridible teacher love you from the depth of my heart my best teacher i just want to meet you once dnt knw whn that awesm day wil come to meet my best teacher <3 <3 <3

[mathictkingdombynazimsir]

Dear sir please take my salam assalamuykum how are you.please help me to understand mathematics

[alerey]

The MIT courses are better, more compact and right to the point defining dx and calculating the integral of it around the interval to get the arc length

[juanrivas]

What I like most about the class is the beautiful teacher pretty woman Ilove her

[abdelilahbirjemaths]

Si c est ça les profs aux USA 😊 Alors au Maroc nous sommes que des genies . Pas une étape sans regarder la preparation . Elle est toute perturbée

[hamedafshar]

این استاده با تیپش حواس آدمو پرت میکنه.نمیشه که درس گوش داد.

[reviewguy]

wudn't it be nice if she had same colour dress as her bra. I mean I respect teachers as teachers but u know.

[georgenussbaum]

In the age of computers, this is horse and buggy calculus. A computer can do all these calculations in lightning speed!! The college math departments are teaching algorithms that machines already know and can service humans.