Math 2B. Calculus. Lecture 14. Strategy for Integration

UCI Math 2B: Single-Variable Calculus (Fall 2013)
Lec 14. Single-Variable Calculus -- Strategy for Integration --
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 October 30, 2013

[jfd]

As a mechanical e engineering graduate 15 years ago at Queens I still don't know why we spent so much time learning calculus techniques when no company will ever pay you to integrate or differentiate or use trig identities to solve equations. It good to know for physics but too much time spent on it and not enough time to solve practical problems. Messing around with linear algebra felt like a little video game with rules. Good to learn and teaches you to think the right way but not practical enough. We even did graphics class teaching you how to sketch shapes when no one really cares as you are required to learn computer software/Cadd to do these sketches and perform all calculations are already set up for you. Not to say don't learn it just too much time spent on it. Makes sense if you were in applied math specialty or theoretical studies.

[DarinBrownSJDCMath]

41:05 "Nobody can argue against this!"

[janibeg]

I took Calc 1, 2, and 3 about 55 years ago and frankly do not have a clue how to do any of those calculations. It just looks familiar.

[martm]

I have a question: 'What are you doing after class, miss?'

[whereismyxanax]

I turn this on at night to help me sleep

[AS-siyv]

28:30 there is a small typo :) there must be 2 before integral instead of 2 in the denominator

[daviddrexhage]

I have no idea why I enjoy this. Her penmanship is outstanding, I like her voice and accent and she is plain but cute. Even though I have no idea what is going on, I find it comforting. Weird

[Algebrainiac]

I literally zoned out when she decided to introduce the partial fraction method at 8:56.... no ma'am lol

[sydoesgames]

31:35 I was about to say, she better correct that, this is why you stick to u and v even if its the same letter

[smccaw]

at 14:40 She uses integral of sec^2x to be tan x for the first part.. instead of using substitution method for second part.. recognition of six/cos^2x= secxtanx the integral of secxtanx is then known to be secx+ constant of integration C

[dearmalaque]

28:38 anyone can explain to me how come the final answer become e^√x/2??

[giyantube]

At 7:00 you do not need a substitution or partial fractions. She over complicated it for her students.

[kashanshigari]

No one can compare with Natalia L.Komarova. She has unique style to teach
which is easy to understand for every student .

[dreia]

I haven't watched the whole video but she made a mistake integral of e^(square root of x)/(square root of x) is 2xe^(square root of x)+c

[mariogopo]

I love the way you teach. I 'am mathematics teacher too

[wesleyfortney]

I was calculating the stress modules for timber rafters. Fun to finish lol

[elliott]

I totally understand they're human, but teachers making mistakes in Math absolutely drives me up a wall because it messes up my notes

[huthaifaalfaouri]

i love math and she is awesome, but i have simple question, what is meaning 2A or 2B ?

[purplecrayon]

Can someone explain to me, like a 12 year old, under what real life situations would I be using this?

[sirisaksirisak]

Can solve by other way and get the same correct answer.(using formula).