Math 2B. Calculus. Lecture 18. Mid-Term II Review

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 18. Single-Variable Calculus -- Mid-Term II Review --
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 6, 2013

[thetopfan]

This lady's tank-top collection is impressive.

[aliabdu]

if you struggling to solve this complicated first problem, don't use it at the review to take 10 min and couldn't get right at the end, you are a good professor but you missed this one,  but thank you for other videos

[profsiddiqi]

Equating the co-efficient of x on both sides C = 2, equating the co-efficient of x^2 on both, side, we get A + B = 0 since A = 1 we get B = -1

[angelabakloyvovtchaikovsky]

Cheat sheet. You allow for a 2 page notes for exam.

My years 2008, we used cheat sheets

[profsiddiqi]

put e^2x - 1 = u^2 then e^2x . 2 dx = 2 u du or dx = u du/e^2x = u du/u^2+1 etc

[Vladimir_Pavlov]

When solving the first problem, a methodological error immediately occurs. Why calculate du when, on the contrary, you need to express dx in terms of du?
Specifically, u=sqrt(e^(2x)-1) => e^(2x)=u^2+1 => x=(1/2)*ln(u^2 +1) => dx=u*du/(u^2 +1).
∫sqrt(e^2x-1)*dx =∫u*u/(u^2+1)* du= Much shorter.
For me, to calculate such integrals using records is nonsense.

[mitchki]

Does she wear the same thing during the winter as well?

[nesar_]

Hello ma'am, do we have calculus iii course in this channel... BTW Thank you for uploading these content it helps a lot ❤

[alexjackson]

Why address the students for the correct answer on every time..in that appealing way..as if their the ones teaching ..and please stop saying " show.ofF " it's very agitating

[georgenussbaum]

In the age of sophisticated calculators, this is horse and buggy calculus. Her problem took me less than one minute to solve on the TI CAS. All these lengthy solutions are best given to machines. These teaching routines are outdated!! George Nussbaum, Casselberry, Fl

[hichamaskor]

preciosa....guapa. beutiful...thanktou ...

[newtonnewtonnewton]

She always copy pased from her papers she is a weaken teacher she can copy the quastion only not its solutiin it is the shame for math teacher

[abdelilahbirjemaths]

Je me demande comment font les USA pour donner PH .D àune telle personne ? Elle a beacoup de problemes à resoudre des choses d une difficulté moyenne . Chez nous au tiers monde un professeur du lycée fera mieux