Jump to content

Integration is a lot more fun because it's just a massive bag of tricks and figuring out the most appropriate and applicable method to antidifferentiate; unlike differentiation you don't have your product, quotient or chain rules so it's either u-sub, integration by parts or purely by recognition (by far my favourite of the three).

The best is when you come to a lecture, and there is a task, and you solve it by guessing, and then proving backwards that the result is correct xD

"Unofficially Official" Leading Scientific Research and Development Officer of the Official Star Citizen LTT Conglomerate | Reaper Squad, Idris Captain | 1x Aurora LN


Game developer, AI researcher, Developing the UOLTT mobile apps


G SIX [My Mac Pro G5 CaseMod Thread]

Link to post
Share on other sites

Integration is a lot more fun because it's just a massive bag of tricks and figuring out the most appropriate and applicable method to antidifferentiate; unlike differentiation you don't have your product, quotient or chain rules so it's either u-sub, integration by parts or purely by recognition (by far my favourite of the three).

I hated deriving, especially when the problem had all three rules in it. God, that was terrible. And then there were optimization problems, Newton's Method and Bisection Method. Ugh, my head hurts just thinking about it. 

 

So far integration is a lot easier. We've learned about left endpoint, right endpoint, and midpoint sums. Seems pretty easy. I actually understand the concept which is a first. Last time that happened was in geometry lol. It helps a lot if you know what you're doing instead of just memorizing steps to get the answer

I done been through a whole lot. Trial, tribulations, but I know God - Kendrick Lamar


I question your mother's upbringing if you don't like me - Action Bronson


You apocalyptic dingleberry - James 'Captain Slow' May

Link to post
Share on other sites

I hated deriving, especially when the problem had all three rules in it. God, that was terrible. And then there were optimization problems, Newton's Method and Bisection Method. Ugh, my head hurts just thinking about it. 

 

So far integration is a lot easier. We've learned about left endpoint, right endpoint, and midpoint sums. Seems pretty easy. I actually understand the concept which is a first. Last time that happened was in geometry lol. It helps a lot if you know what you're doing instead of just memorizing steps to get the answer

Agreed. Fundamental theorem of calculus is a must to understand integration although many teachers run over it briefly or even skip it entirely. Once you have a grasp of the basics, the variety of extensions of antidiff (volumes of solids of revolution, area between curves, shell method) are a breeze. 

 

But still I personally don't mind differentiation, it's always pretty simple except when you are so use to antidiff that you end up with d/dx(sinx)= -cosx

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Quisque euismod suscipit est, non placerat turpis vestibulum sed. Phasellus et faucibus odio. Donec a nisi at purus porttitor ullamcorper auctor a nibh. Integer id neque a nisi laoreet ultrices id ac augue. Nulla facilisi. Nullam purus elit, dictum quis euismod vitae, mollis non dui. Morbi vehicula neque eu mattis bibendum. Curabitur sed odio tortor. Sed euismod mi in diam volutpat, vitae convallis ipsum mattis. Praesent eleifend faucibus pulvinar. Interdum et malesuada fames ac ante ipsum primis in faucibus. Vestibulum velit nunc, fermentum a libero a, venenatis tempus lectus.

Link to post
Share on other sites

I have 3 days of class left in the semester and I haven't been to a lecture for a couple months. This is gonna be fun.

i have an exam on friday. ive never been on a lecture :P

"Unofficially Official" Leading Scientific Research and Development Officer of the Official Star Citizen LTT Conglomerate | Reaper Squad, Idris Captain | 1x Aurora LN


Game developer, AI researcher, Developing the UOLTT mobile apps


G SIX [My Mac Pro G5 CaseMod Thread]

Link to post
Share on other sites

It's not my first time through the material, and I have 3 days between my 2nd last exam and calc. I'll teach the course to myself then.

i just need to remind myself C syntax xD

"Unofficially Official" Leading Scientific Research and Development Officer of the Official Star Citizen LTT Conglomerate | Reaper Squad, Idris Captain | 1x Aurora LN


Game developer, AI researcher, Developing the UOLTT mobile apps


G SIX [My Mac Pro G5 CaseMod Thread]

Link to post
Share on other sites

i have an exam on friday. ive never been on a lecture :P

post-163060-0-21881800-1417378184.jpg

 

Solution? Skip entirely.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Quisque euismod suscipit est, non placerat turpis vestibulum sed. Phasellus et faucibus odio. Donec a nisi at purus porttitor ullamcorper auctor a nibh. Integer id neque a nisi laoreet ultrices id ac augue. Nulla facilisi. Nullam purus elit, dictum quis euismod vitae, mollis non dui. Morbi vehicula neque eu mattis bibendum. Curabitur sed odio tortor. Sed euismod mi in diam volutpat, vitae convallis ipsum mattis. Praesent eleifend faucibus pulvinar. Interdum et malesuada fames ac ante ipsum primis in faucibus. Vestibulum velit nunc, fermentum a libero a, venenatis tempus lectus.

Link to post
Share on other sites

i have an exam on friday. ive never been on a lecture :P

I have 3 days of class left in the semester and I haven't been to a lecture for a couple months. This is gonna be fun.

 

Our lectures are videos that my teacher posts on Youtube. We have a flipped classroom, so we learn at home, and do work at school. Good for when we're out ski racing.

 

I just put him at 2x speed. Get through the videos in an hour and a half instead of three hours.  :D

I done been through a whole lot. Trial, tribulations, but I know God - Kendrick Lamar


I question your mother's upbringing if you don't like me - Action Bronson


You apocalyptic dingleberry - James 'Captain Slow' May

Link to post
Share on other sites

attachicon.gifLearningPyramid.jpg

 

Solution? Skip entirely.

im actually so much of an audio/visual type that just listening to a lecture will be enough for me to remember a vast majority of it, so that pyramid is flawed for me :P 

"Unofficially Official" Leading Scientific Research and Development Officer of the Official Star Citizen LTT Conglomerate | Reaper Squad, Idris Captain | 1x Aurora LN


Game developer, AI researcher, Developing the UOLTT mobile apps


G SIX [My Mac Pro G5 CaseMod Thread]

Link to post
Share on other sites

my home work plz 

GOD DAMN IT!

WHY DOES YOUR STUFF HAVE TO BE SOOO SIMPLE.We were doing stuff like that in the 5th grade or something.

I'm in the 9th grade too and ...well...have a look at my last test :

1.Demonstrate that Egs8u6m.pngis divisible by 19 whatever value of n (natural)

2.Demonstrate that  XbWzMZg.png(n natural and bigger or equal to 2)

3. [apgxfqX.png] = ?

where [x] is the smallest integer smaller or equal to x.

4. Calculate 8Gh8IAU.png

5. a + b + c + d = 1

Demonstrate that JBZv3wO.png< 8

6.Calculate usTOU0j.png

7.Demonstrate that TPqxTlt.png

8.Demonstrate that p8XJs4d.png>= 3/2  ( Nesbit's inequality)

i5 4670k @ 4.2GHz (Coolermaster Hyper 212 Evo); ASrock Z87 EXTREME4; 8GB Kingston HyperX Beast DDR3 RAM @ 2133MHz; Asus DirectCU GTX 560; Super Flower Golden King 550 Platinum PSU;1TB Seagate Barracuda;Corsair 200r case. 

Link to post
Share on other sites

GOD DAMN IT!

WHY DOES YOUR STUFF HAVE TO BE SOOO SIMPLE.We were doing stuff like that in the 5th grade or something.

I'm in the 9th grade too and ...well...have a look at my last test :

1.Demonstrate that Egs8u6m.pngis divisible by 19 whatever value of n (natural)

2.Demonstrate that  XbWzMZg.png(n natural and bigger or equal to 2)

3. [apgxfqX.png] = ?

where [x] is the smallest integer smaller or equal to x.

4. Calculate 8Gh8IAU.png

5. a + b + c + d = 1

Demonstrate that JBZv3wO.png< 8

6.Calculate usTOU0j.png

7.Demonstrate that TPqxTlt.png

8.Demonstrate that p8XJs4d.png>= 3/2  ( Nesbit's inequality)

A lot of that is just basic algebra and being able to manipulate it effectively.

Link to post
Share on other sites

A lot of that is just basic algebra and being able to manipulate it effectively

 

Can you compare what he's doing to what I am doing?

 

Here's another problem : (my homework)

Let {an}n≥1 be a sequence of real numbers such that |an+1 − an| ≤ 1, for all positive integers n.
Let {bn}n≥1 be the sequence defined by
bn =(a1 + a2 + · · · + an)/n
 
Prove that |bn+1 − bn| ≤ 1/2 for all positive integers n.

i5 4670k @ 4.2GHz (Coolermaster Hyper 212 Evo); ASrock Z87 EXTREME4; 8GB Kingston HyperX Beast DDR3 RAM @ 2133MHz; Asus DirectCU GTX 560; Super Flower Golden King 550 Platinum PSU;1TB Seagate Barracuda;Corsair 200r case. 

Link to post
Share on other sites

 

Can you compare what he's doing to what I am doing?

 

Here's another problem : (my homework)

Let {an}n≥1 be a sequence of real numbers such that |an+1 − an| ≤ 1, for all positive integers n.
Let {bn}n≥1 be the sequence defined by
bn =(a1 + a2 + · · · + an)/n
 
Prove that |bn+1 − bn| ≤ 1/2 for all positive integers n.

 

Everything is relative. What you saw in Grade 5 seems easy now, but it blew your mind back then. This is what my homework looks like: 

asdf_zps66e61185.jpg

Link to post
Share on other sites

Everything is relative. What you saw in Grade 5 seems easy now, but it blew your mind back then. This is what my homework looks like: 

 

I'm pretty sure that 5^2 * 5^3 = 5^5 didn't blow my mind back then.Yes, there were things that I've understood way better since then for sure.

But damn, he's in the 9th grade , I'm in the 9th grade as well, and look at the difference.

i5 4670k @ 4.2GHz (Coolermaster Hyper 212 Evo); ASrock Z87 EXTREME4; 8GB Kingston HyperX Beast DDR3 RAM @ 2133MHz; Asus DirectCU GTX 560; Super Flower Golden King 550 Platinum PSU;1TB Seagate Barracuda;Corsair 200r case. 

Link to post
Share on other sites

I'm pretty sure that 5^2 * 5^3 = 5^5 didn't blow my mind back then.Yes, there were things that I've understood way better since then for sure.

But damn, he's in the 9th grade , I'm in the 9th grade as well, and look at the difference.

Trust me, you'd rather be forced to learn early. At least you're ahead of the curve for your next class or university. I've breezed through first year calc, but I've seen the syllabus for next year's calc, and it won't be fun.

Link to post
Share on other sites

GOD DAMN IT!

WHY DOES YOUR STUFF HAVE TO BE SOOO SIMPLE.We were doing stuff like that in the 5th grade or something.

I'm in the 9th grade too and ...well...have a look at my last test :

1.Demonstrate that Egs8u6m.pngis divisible by 19 whatever value of n (natural)

2.Demonstrate that  XbWzMZg.png(n natural and bigger or equal to 2)

3. [apgxfqX.png] = ?

where [x] is the smallest integer smaller or equal to x.

4. Calculate 8Gh8IAU.png

5. a + b + c + d = 1

Demonstrate that JBZv3wO.png< 8

6.Calculate usTOU0j.png

7.Demonstrate that TPqxTlt.png

8.Demonstrate that p8XJs4d.png>= 3/2  ( Nesbit's inequality)

u Asian? 

My Rig  

 
PCPartPicker part list: http://ca.pcpartpicker.com/p/kGNksY

 

CPU: Intel Core i7-4770 3.4GHz Quad-Core Processor  ($379.00 @ shopRBC) 

CPU Cooler: RAIJINTEK THEMIS 65.7 CFM Sleeve Bearing CPU Cooler  ($34.99 @ NCIX) 

Motherboard: MSI CSM-H87M-G43 Micro ATX LGA1150 Motherboard  ($78.83 @ DirectCanada) 

Memory: Kingston HyperX 16GB (4 x 4GB) DDR3-1600 Memory  ($139.99 @ Memory Express) 

Storage: Kingston Fury 120GB 2.5" Solid State Drive  ($71.34 @ DirectCanada) 

Storage: Seagate Barracuda 2TB 3.5" 7200RPM Internal Hard Drive  ($92.95 @ Vuugo) 

Video Card: Gigabyte Radeon R9 280X 3GB Video Card  ($298.98 @ Newegg Canada) 

Case: Fractal Design Define R4 w/Window (Black Pearl) ATX Mid Tower Case  ($125.98 @ Newegg Canada) 

Power Supply: Corsair CX 600W 80+ Bronze Certified Semi-Modular ATX Power Supply  ($66.99 @ NCIX) 

Operating System: Microsoft Windows 8.1 - 64-bit (OEM) (64-bit)  ($116.00 @ shopRBC) 

Case Fan: Cougar Turbine 120 (4-Pack) 60.4 CFM 120mm  Fans  ($23.99 @ NCIX) 

Monitor: HP 22xi 60Hz 21.5" Monitor  ($187.11 @ Amazon Canada) 

Monitor: HP 22xi 60Hz 21.5" Monitor  ($187.11 @ Amazon Canada) 

Keyboard: Logitech G710 Wired Gaming Keyboard  ($114.99 @ NCIX) 

Mouse: Razer DeathAdder 2013 Wired Optical Mouse  ($76.99 @ Amazon Canada) 

Headphones: Kingston HyperX Cloud Pro Headset  ($78.98 @ DirectCanada) 

Total: $2074.22

Prices include shipping, taxes, and discounts when availableGenerated by PCPartPicker 2015-04-10 15:33 EDT-0400Build log http://linustechtips.com/main/topic/303263-the-dell-from-hell/#entry4121100 

Phone Compassion Spreadsheet https://docs.google.com/spreadsheets/d/1EN6s426gyxqPloIqT4wQ7Y7yovkkQy_5B3djVN-N-R8/edit#gid=0


Gta V Pc Online Crew http://linustechtips.com/main/topic/344773-unofficial-linus-tech-tips-gta-v-crew-pc/

Link to post
Share on other sites

GOD DAMN IT!

WHY DOES YOUR STUFF HAVE TO BE SOOO SIMPLE.We were doing stuff like that in the 5th grade or something.

I'm in the 9th grade too and ...well...have a look at my last test :

1.Demonstrate that Egs8u6m.pngis divisible by 19 whatever value of n (natural)

2.Demonstrate that  XbWzMZg.png(n natural and bigger or equal to 2)

3. [apgxfqX.png] = ?

where [x] is the smallest integer smaller or equal to x.

4. Calculate 8Gh8IAU.png

5. a + b + c + d = 1

Demonstrate that JBZv3wO.png< 8

6.Calculate usTOU0j.png

7.Demonstrate that TPqxTlt.png

8.Demonstrate that p8XJs4d.png>= 3/2  ( Nesbit's inequality)

Congratulations...

on being a condescending jackass...

Link to post
Share on other sites

C860PEy.png?1

post-163060-0-26512300-1417418600_thumb.

 

Others are pretty straight forward. Just keep applying the Pythagorean Identity and always try working with the more complicated side first. Also if you see a combination of sines with tan, cosec and sec, put everything in terms of sine and cosine and it should be easy. Don't forget your basic algebra like factorisation as well and difference of two squares rule.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Quisque euismod suscipit est, non placerat turpis vestibulum sed. Phasellus et faucibus odio. Donec a nisi at purus porttitor ullamcorper auctor a nibh. Integer id neque a nisi laoreet ultrices id ac augue. Nulla facilisi. Nullam purus elit, dictum quis euismod vitae, mollis non dui. Morbi vehicula neque eu mattis bibendum. Curabitur sed odio tortor. Sed euismod mi in diam volutpat, vitae convallis ipsum mattis. Praesent eleifend faucibus pulvinar. Interdum et malesuada fames ac ante ipsum primis in faucibus. Vestibulum velit nunc, fermentum a libero a, venenatis tempus lectus.

Link to post
Share on other sites

I'll add a problem here... 2sin^2 x + 3cos -3 = 0. I hope that all works properly I haven't done trig in a long time and it's midnight xD

post-163060-0-38891700-1417419765_thumb.

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Quisque euismod suscipit est, non placerat turpis vestibulum sed. Phasellus et faucibus odio. Donec a nisi at purus porttitor ullamcorper auctor a nibh. Integer id neque a nisi laoreet ultrices id ac augue. Nulla facilisi. Nullam purus elit, dictum quis euismod vitae, mollis non dui. Morbi vehicula neque eu mattis bibendum. Curabitur sed odio tortor. Sed euismod mi in diam volutpat, vitae convallis ipsum mattis. Praesent eleifend faucibus pulvinar. Interdum et malesuada fames ac ante ipsum primis in faucibus. Vestibulum velit nunc, fermentum a libero a, venenatis tempus lectus.

Link to post
Share on other sites

If Lawrence leaves his house and travels at a constant 40 MPH how long will it take Bill from next door to shove a banana up his mom's rectum?

69

Do not take life too seriously. You will never get out of it alive.
                                                                                      :o 

Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now


×