2 and a half hours into this lecture and this is seriously making me question how the hell do some teachers manage to make maths seem so daunting , I never thought to learn trigonometry like you explain it ❤️
I know, right? The majority of comments in educational videos usually express students are learning more from online videos than school itself, too. That's kinda concerning in terms of schools. Especially since you're paying them to learn.
4 weeks of attending lectures and recitation and this woman summarized everything I could not understand for exam 1 in just 2 hours. I FEEL MORE CONFIDENT THAN EVER FOR A TEST.
Day 1 (0:00:00) [Corequisite] Rational Expressions ✅ (0:09:40) [Corequisite] Difference Quotient ✅ (0:18:20) Graphs and Limits ✅ (0:25:51) When Limits Fail to Exist ✅ (0:31:28) Limit Laws ✅ (0:37:07) The Squeeze Theorem ✅ (0:42:55) Limits using Algebraic Tricks ✅ (0:56:04) When the Limit of the Denominator is 0 ✅ (1:08:40) [Corequisite] Lines: Graphs and Equations ✅ (1:17:09) [Corequisite] Rational Functions and Graphs ✅ Day 2 (1:30:35) Limits at Infinity and Graphs ✅ (1:37:31) Limits at Infinity and Algebraic Tricks ✅ (1:45:34) Continuity at a Point (1:53:21) Continuity on Intervals (1:59:43) Intermediate Value Theorem (2:03:37) [Corequisite] Right Angle Trigonometry
In high school I got Ds and Cs in math. In College I got an A in Calculus. The difference was an encouraging professor and many hours laboring in the math lab. I was determined to understand it. Your determination determines your future. I became a CPA using algebra everyday. I suppose I should have become a higher paid actuary, but I was not as determined to master statistics. 😊. Good luck to all. The man who invented the jet engine was able to do it because of his determination not because he was deemed smart. The world is your oyster if you dive into the ocean.
If you were bad at maths in school how did you crack college entrance exam of maths and get in a college unless you are talking about your 1st and 2nd grade results of maths??
I guess this would be considered a “personal” problem, but there are times where I wish I could be at this level of intelligence. I was just horrible at math. I had a learning disability (IEP) which, shamefully, made learning even harder for me. Now at the age of 26 I’m just now starting undergrad, but I’m struggling a bit in Algebra this semester. To put it simply, I have no business ever watching this video. I just hope no one makes the same mistakes or endures the struggles that I made in school. Good luck to everyone.
It's actually incredible common in the last 10 years or so. Most major universities ans ivy league schools now offer from recordings of acrual classes.
@@DC-zh5qs Sometimes. But I think that's a fair trade off for the fact that they are F R E E. I'm still paying off my student loans from my BS and MBA, I don't want to have to pay for additional classes on top of that just because I want to learn about something new.
I have been looking to brush up on calculus since I left school. I can't believe how well you articulate your ideas. This video and its creators are an invaluable resource for self-guided learning.
I'm eternally thankful to Dr. Linda Green and FreeCodeCamp. You guys gave me hope and confidence that I never thought I could get from actually UNDERSTANDING Cal I materials. I'm 30 yo and trying to go back to school for my Master's. I really needed to review Cal I which I took in college ~10 years ago. I was not confident if I could do it, because I was struggling even 10 years ago in my Cal I class. Just finished this video (thoroughly watching and taking notes till the end) in two weeks and I think I'm ready to move on to my next step. Thank you, thank you, thank you!!!!
As a uni student doing this course i find this video extremely helpful, having someone else describe the parts of the course again in a different way really helps with understanding the concepts! Thank you :)
Just sat through this video in 3 days because I had a long break between calculus 1 and calculus 2, and now I wish that this was my professor for Calc 1, amazing explanations and simplifications, makes you understand formulae so you can work them out if you tend to forget them.
this is such a sweet full course that starts with basic maths (which I inconveniently forget sometimes) so we can grasp the harder concepts to come thank u very much this is very cool
This is what society needs. Great people giving great things to help others. A very kind gesture given without pay, you are one among the heroes of modern education. May god bless.
@@RaimonTarou "as it is written: “None is righteous, no, not one; no one understands; no one seeks for God. All have turned aside; together they have become worthless; no one does good, not even one.” - Romans 3:10-12 "But God shows his love for us in that while we were still sinners, Christ died for us." -Romans 5:8
@@RaimonTarou Heaven exists! The only way out of death and to Heaven is through Jesus Christ. He will cleanse us of our sins with His blood if we believe. God will only allow us into His home if we are clean of our sins, and Jesus Christ died so that we can be forgiven of our sins and have everlasting life. "For God so loved the world that He gave His only begotten Son, that whoever believes in Him should not perish but have everlasting life." - John 3:16 Jesus Christ died for us and offered us salvation if we would simply just believe! It is so simple, that even a dumb man, blind man, deaf man, any man of any color can believe! God so loved the world that He was willing to die for us and all that you need to do is just believe in Jesus Christ, the son of God Almighty.
I am so happy I came across this video. As someone who took precalc 2 years ago and got a C, you're a life saver. You explain things so well and this will legit be my ticket to a good grade in Calc 1
4 months into my sabbatical from high school and watching this to not lose my grip I completely forgot the magic of math. Every equation is like solving a puzzle, except I hate actual puzzles, and seeing the final result is just pure bliss
The fact that this is free on youtube is incredible. Thank you, people who do this make the world a better place (even tho there's no way I'm watching a minute of it)
@@oksowhat i doubt it would actually be able to replace what a college course could offer but it's still a great source anyway. Might be good for review for example
@@oksowhat I am pretty sure single variable calculus is a prerequisite for multi variable calculus. So not very likely you have both in one semester. Also this only covers Calculus 1 which is single variable calculus while calculus 2 is multi variable.
I am a math major with Distinction. It’s sad I forgot so much in the last 27 years since so graduated 😢. Glad to revisit the subject that I was good at. It’s refreshing and almost like poetry!
Your video really helped me to recap everything I've learned at my university. We've focused so much on hard problems and tricks that I didn't get the basics, thanks for fixing that!
@@StormForthcoming Are you being serious? Because I was thinking about sitting down and learning calculus for real at least for an hour a day to keep my mind sharp.
My god! I remember three years ago I took Calculus 1 and 2. Best time of my life! I'm gonna watch this for review this summer(2023) before I take Calculus 3 and Linear Algebra. Thanks!
During my high school years I had the worst math professor who constantly screamed at us, used very rude manners and contributed to making me anxious and terrified of math to the point I was convinced I was a completely lost cause. This was then followed by a 1st year of uni Analysis I professor who started off by announcing "I am going to be the primary obstacle between you and graduating". I was completely lost and discouraged, dropped out and proceeded to obtain a degree in an unrelated field. Then my passion for the sciences resurfaced, and I joined a new degree and am about to start with Analysis II. This video is helping me pick up all the scattered calculus I topics I did throughout the years, and I can't express enough gratitude to this teacher and all the teachers in online communities who teach math in a soothing and clear way, avoiding screaming or intimidations. Hopefully I will do even more math in the future!
@@reibiscoito8334 the anime is fine because you only need to do is watch and enjoy but if you watch math 12 hours straight..not only stressed you'll get...you also die of pain in the head and you will not enjoy it.
Doing AP Calc over the summer this year. Tracking my progress (0:00:00) [Corequisite] Rational Expressions ✔ (0:09:40) [Corequisite] Difference Quotient ✔ (0:18:20) Graphs and Limits ✔ (0:25:51) When Limits Fail to Exist ✔ (0:31:28) Limit Laws ✔ (0:37:07) The Squeeze Theorem ✔ (0:42:55) Limits using Algebraic Tricks ✔ (0:56:04) When the Limit of the Denominator is 0 ✔ (1:08:40) [Corequisite] Lines: Graphs and Equations ✔ (1:17:09) [Corequisite] Rational Functions and Graphs ✔ (1:30:35) Limits at Infinity and Graphs ✔ (1:37:31) Limits at Infinity and Algebraic Tricks ✔ (1:45:34) Continuity at a Point✔ (1:53:21) Continuity on Intervals✔ (1:59:43) Intermediate Value Theorem✔ (2:03:37) [Corequisite] Right Angle Trigonometry ✔ (2:11:13) [Corequisite] Sine and Cosine of Special Angles✔ (2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine✔ (2:24:46) [Corequisite] Properties of Trig Functions✔ (2:35:25) [Corequisite] Graphs of Sine and Cosine✔ (2:41:57) [Corequisite] Graphs of Sinusoidal Functions✔ (2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc✔ (3:01:03) [Corequisite] Solving Basic Trig Equations✔ (3:08:14) Derivatives and Tangent Lines✔ (3:22:55) Computing Derivatives from the Definition✔ (3:34:02) Interpreting Derivatives✔ (3:42:33) Derivatives as Functions and Graphs of Derivatives✔ (3:56:25) Proof that Differentiable Functions are Continuous✔ (4:01:09) Power Rule and Other Rules for Derivatives✔ (4:07:42) [Corequisite] Trig Identities✔ (4:15:14) [Corequisite] Pythagorean Identities✔ (4:20:35) [Corequisite] Angle Sum and Difference Formulas✔ (4:28:31) [Corequisite] Double Angle Formulas✔ (4:36:01) Higher Order Derivatives and Notation✔ (4:39:22) Derivative of e^x✔ (4:46:52) Proof of the Power Rule and Other Derivative Rules✔ (theres no audio for this one 😥)
This right here is what I practicing at before I undergo the actual course calculus myself at Texas A & M. This is a great video for those trying to learn this.
⭐️ Course Contents ⭐️ (0:00:00) [Corequisite] Rational Expressions (0:09:40) [Corequisite] Difference Quotient (0:18:20) Graphs and Limits (0:25:51) When Limits Fail to Exist (0:31:28) Limit Laws (0:37:07) The Squeeze Theorem (0:42:55) Limits using Algebraic Tricks (0:56:04) When the Limit of the Denominator is 0 (1:08:40) [Corequisite] Lines: Graphs and Equations (1:17:09) [Corequisite] Rational Functions and Graphs (1:30:35) Limits at Infinity and Graphs (1:37:31) Limits at Infinity and Algebraic Tricks (1:45:34) Continuity at a Point (1:53:21) Continuity on Intervals (1:59:43) Intermediate Value Theorem (2:03:37) [Corequisite] Right Angle Trigonometry (2:11:13) [Corequisite] Sine and Cosine of Special Angles (2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine (2:24:46) [Corequisite] Properties of Trig Functions (2:35:25) [Corequisite] Graphs of Sine and Cosine (2:41:57) [Corequisite] Graphs of Sinusoidal Functions (2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc (3:01:03) [Corequisite] Solving Basic Trig Equations (3:08:14) Derivatives and Tangent Lines (3:22:55) Computing Derivatives from the Definition (3:34:02) Interpreting Derivatives (3:42:33) Derivatives as Functions and Graphs of Derivatives (3:56:25) Proof that Differentiable Functions are Continuous (4:01:09) Power Rule and Other Rules for Derivatives (4:07:42) [Corequisite] Trig Identities (4:15:14) [Corequisite] Pythagorean Identities (4:20:35) [Corequisite] Angle Sum and Difference Formulas (4:28:31) [Corequisite] Double Angle Formulas (4:36:01) Higher Order Derivatives and Notation (4:39:22) Derivative of e^x (4:46:52) Proof of the Power Rule and Other Derivative Rules (4:56:31) Product Rule and Quotient Rule (5:02:09) Proof of Product Rule and Quotient Rule (5:10:40) Special Trigonometric Limits (5:17:31) [Corequisite] Composition of Functions (5:29:54) [Corequisite] Solving Rational Equations (5:40:02) Derivatives of Trig Functions (5:46:23) Proof of Trigonometric Limits and Derivatives (5:54:38) Rectilinear Motion (6:11:41) Marginal Cost (6:16:51) [Corequisite] Logarithms: Introduction (6:25:32) [Corequisite] Log Functions and Their Graphs (6:36:17) [Corequisite] Combining Logs and Exponents (6:40:55) [Corequisite] Log Rules (6:49:27) The Chain Rule (6:58:44) More Chain Rule Examples and Justification (7:07:43) Justification of the Chain Rule (7:10:00) Implicit Differentiation (7:20:28) Derivatives of Exponential Functions (7:25:38) Derivatives of Log Functions (7:29:38) Logarithmic Differentiation (7:37:08) [Corequisite] Inverse Functions (7:51:22) Inverse Trig Functions (8:00:56) Derivatives of Inverse Trigonometric Functions (8:12:11) Related Rates - Distances (8:17:55) Related Rates - Volume and Flow (8:22:21) Related Rates - Angle and Rotation (8:28:20) [Corequisite] Solving Right Triangles (8:34:54) Maximums and Minimums (8:46:18) First Derivative Test and Second Derivative Test (8:51:37) Extreme Value Examples (9:01:33) Mean Value Theorem (9:09:09) Proof of Mean Value Theorem (0:14:59) [Corequisite] Solving Right Triangles (9:25:20) Derivatives and the Shape of the Graph (9:33:31) Linear Approximation (9:48:28) The Differential (9:59:11) L'Hospital's Rule (10:06:27) L'Hospital's Rule on Other Indeterminate Forms (10:16:13) Newtons Method (10:27:45) Antiderivatives (10:33:24) Finding Antiderivatives Using Initial Conditions (10:41:59) Any Two Antiderivatives Differ by a Constant (10:45:19) Summation Notation (10:49:12) Approximating Area (11:04:22) The Fundamental Theorem of Calculus, Part 1 (11:15:02) The Fundamental Theorem of Calculus, Part 2 (11:22:17) Proof of the Fundamental Theorem of Calculus (11:29:18) The Substitution Method (11:38:07) Why U-Substitution Works (11:40:23) Average Value of a Function (11:47:57) Proof of the Mean Value Theorem for Integrals
A tip to anyone stuck on radians, change from using pi to using tau (2pi) then each of the 12 points with intervals of 30degrees are now a distance of tau/12 apart. same can be done with the 8 points 45deg apart which are now tau/8 apart
(0:00:00) [Corequisite] Rational Expressions (0:09:40) [Corequisite] Difference Quotient (0:18:20) Graphs and Limits (0:25:51) When Limits Fail to Exist (0:31:28) Limit Laws (0:37:07) The Squeeze Theorem (0:42:55) Limits using Algebraic Tricks (0:56:04) When the Limit of the Denominator is 0 (1:08:40) [Corequisite] Lines: Graphs and Equations (1:17:09) [Corequisite] Rational Functions and Graphs (1:30:35) Limits at Infinity and Graphs (1:37:31) Limits at Infinity and Algebraic Tricks (1:45:34) Continuity at a Point (1:53:21) Continuity on Intervals (1:59:43) Intermediate Value Theorem (2:03:37) [Corequisite] Right Angle Trigonometry (2:11:13) [Corequisite] Sine and Cosine of Special Angles (2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine (2:24:46) [Corequisite] Properties of Trig Functions (2:35:25) [Corequisite] Graphs of Sine and Cosine (2:41:57) [Corequisite] Graphs of Sinusoidal Functions (2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc (3:01:03) [Corequisite] Solving Basic Trig Equations (3:08:14) Derivatives and Tangent Lines (3:22:55) Computing Derivatives from the Definition (3:34:02) Interpreting Derivatives (3:42:33) Derivatives as Functions and Graphs of Derivatives (3:56:25) Proof that Differentiable Functions are Continuous (4:01:09) Power Rule and Other Rules for Derivatives (4:07:42) [Corequisite] Trig Identities (4:15:14) [Corequisite] Pythagorean Identities (4:20:35) [Corequisite] Angle Sum and Difference Formulas (4:28:31) [Corequisite] Double Angle Formulas (4:36:01) Higher Order Derivatives and Notation (4:39:22) Derivative of e^x (4:46:52) Proof of the Power Rule and Other Derivative Rules (4:56:31) Product Rule and Quotient Rule (5:02:09) Proof of Product Rule and Quotient Rule (5:10:40) Special Trigonometric Limits (5:17:31) [Corequisite] Composition of Functions (5:29:54) [Corequisite] Solving Rational Equations (5:40:02) Derivatives of Trig Functions (5:46:23) Proof of Trigonometric Limits and Derivatives (5:54:38) Rectilinear Motion (6:11:41) Marginal Cost (6:16:51) [Corequisite] Logarithms: Introduction (6:25:32) [Corequisite] Log Functions and Their Graphs (6:36:17) [Corequisite] Combining Logs and Exponents (6:40:55) [Corequisite] Log Rules (6:49:27) The Chain Rule (6:58:44) More Chain Rule Examples and Justification (7:07:43) Justification of the Chain Rule (7:10:00) Implicit Differentiation (7:20:28) Derivatives of Exponential Functions (7:25:38) Derivatives of Log Functions (7:29:38) Logarithmic Differentiation (7:37:08) [Corequisite] Inverse Functions (7:51:22) Inverse Trig Functions (8:00:56) Derivatives of Inverse Trigonometric Functions (8:12:11) Related Rates - Distances (8:17:55) Related Rates - Volume and Flow (8:22:21) Related Rates - Angle and Rotation (8:28:20) [Corequisite] Solving Right Triangles (8:34:54) Maximums and Minimums (8:46:18) First Derivative Test and Second Derivative Test (8:51:37) Extreme Value Examples (9:01:33) Mean Value Theorem (9:09:09) Proof of Mean Value Theorem (0:14:59) [Corequisite] Solving Right Triangles (9:25:20) Derivatives and the Shape of the Graph (9:33:31) Linear Approximation (9:48:28) The Differential (9:59:11) L'Hospital's Rule (10:06:27) L'Hospital's Rule on Other Indeterminate Forms (10:16:13) Newtons Method (10:27:45) Antiderivatives (10:33:24) Finding Antiderivatives Using Initial Conditions (10:41:59) Any Two Antiderivatives Differ by a Constant (10:45:19) Summation Notation (10:49:12) Approximating Area (11:04:22) The Fundamental Theorem of Calculus, Part 1 (11:15:02) The Fundamental Theorem of Calculus, Part 2 (11:22:17) Proof of the Fundamental Theorem of Calculus (11:29:18) The Substitution Method (11:38:07) Why U-Substitution Works (11:40:23) Average Value of a Function (11:47:57) Proof of the Mean Value Theorem for Integrals
This woman is genuinely heroic. Finally a lecturer that doesn't assume I know everything already and doesn't feel the need to use overly complicated language when introducing concepts for the first time. Legendary.
This makes a lot more sense now than it did in college and I'm unsure of why but... I can't believe how simple this seems. It's one thing to recall something and go "I remember that"; it's another thing to also go "That makes perfect sense".
Me who went into college without any preparation 👁️👄👁️ I'm on my fourth year now but I feel like I haven't learned anything at all 😭😂 so here goes watching UA-cam lectures
Thank you mam. I am in high school and calculas composises almost 45%of the maths paper. This video just might help me secure those marks 100%. That's why thank you
This video helped me go from a D to a B in Calc within a single semester. Free Code Camp is by far the best learning source there is for computer science/engineering majors. It is amazing to me that they provide all of this help for free online. Truly shows the team’s passion for teaching others
This is so cool, I've spent my whole life avoiding math and now I've decided to go from an art career to data science I'm in serious need of a proper crash course from the start to later tackle probabilities and all these fun things to come. Thank you!
I just freaked out when I came across this vid, it's exactly what I was searching for, can't wait to get all my doubts cleared. Thank you so much for this video, your hardwork has helped millions🥰.
Algebra 2 and Trigonometry contained in a Calculus course for refreshers is pretty nice actually. In college, typically you have to take a pre-Calculus class that is the pre-cursor of Calculus involving systems of functions, trig functions, unit circle, etc. before you take Calculus 1. Also, at the very end of Calculus 1, you are typically exposed to more topics/methods of integration that carries over into Calculus 2.
The basic meaning of calculus came from the idea that all curves come from a combination of straight segments, and by dividing ( differentiating) a curve line, or curve surface, or an object which has curve surfaces into as small as possible elements, you will have straight segments or flat surfaces or regular objects to which you can apply known formulas to find the values of each of the element, then using integration to add all those small elements up to get the answer
Pro-tip for pc users: J to skip 10 seconds back K to pause L to skip 10 seconds forward Left arrow key to skip 5 secs back Right arrow key to skip 5 secs forward
I have autism and this really helped me through a mental break down. Calculus doesn't even apply to my major (being psychology) but im studying this video because it helped to calm me down. it really helped me forget about my current issues and made me focus on something else. Thank you, and keep up the good teaching!
Weaponise your autism to learn more things! Great respect to you man. I have severe adhd and can’t pay attention in classes so being able to pause and rewind this is amazing for me man. Hope u the best of luck in your struggle.
perfectly paced. no hype, just what you need as fast as you can assemble it. i wish i would have watched this first instead of 12 hours of numberfile videos before youtube led me here.
I am learning calculus on my own, with the endeavor to skip college classes with this course, and this class shocks me in how beautiful math is, even at such a basic level.
Professor Linda Green, thank you for an awesome explanation and powerful analysis of Calculus One, A Full College Course. This is a tremendous amount of information to cover in almost twelve hours, however this material helps Students taking Calculus worldwide. I took Calculus One many years ago and this is a lot to digest in twelve hours or in a twelve-hour lecture. The proofs, examples and problems are very helpful in this video from start to finish. Professor Green, there is an error at the 11:36: 21-minute mark. When you Integrate e to e square of ln(x) dx divided by x, you get 1/2. The correct answer is 3/2. Please correct this error in the video.
Hey, I think it will be really difficult for them to correct this mistake! As they will have to delete this video and upload it again. And kindly edit your comment to fix the timestamp, your comment will help us avoid that error!
This is a nice refresher! I took calculus back in 2015 and I need to refresh my calculus in order to pursue my masters. Thank you for the amazing video
I just started CALC 1 at UNC Chapel Hill actually. Struggling a little bit, this is EXACTLY what I needed. I missed a lot of class in the beginning so this is so so helpful. Haha maybe I should have taken her section??
Love this video (currently at 10:16:53), I've been working on this for the past 2 weeks. I took Calculus 1 about 5 years ago, this is a great refresher / re-learner (in some sections).
At first I thought I wouldn't be able to understand her strain of thought but actually I got surprised by her incredible and ease way to explain. I'm still in the second part because I started today but I'll for sure watch and take notes of the whole video. (Btw only the first subject of the video took me almost one hour so if you can more than that you are really special, don't give up!!!)
You are a much better teacher than my current calc 1 professor. Don't get me wrong, he knows the material; he just can't get the information across nearly as well. Thank you!
I am so glad I found this video because my calc 1 teacher SUCKS and has not covered half of these concepts in class!! You are a life saver for making this video. Thank you, thank you, thank you.
THANK YOU for this. I'm an older student, so I slipped through the cracks; with twenty years between my last math class and my first day in college, I had forgotten just about everything, and geometry was not a prerequisite. Two of my last three math professors (precalc algebra and Calc1) were math geniuses who skipped entire swaths of underlying basics because they could do it in their heads. Cue me comically swinging my head around in confusion going "What?!" a lot. This is immensely helpful.
Man I took a break from college for 4 years so I could actually afford to go back. I've been so nervous about relearning calc again cause I struggled with 2 so much. She makes it seam so easy. God bless people like this who take the time to help
From Bangladesh Alhamdulillah i learned that from my teacher.... I understand everything in just about 30mnts by just tapping the skip button..... Salute to you mam, Dedication at it's peak🖤
This is the most fun and i play with math questions. I don't have to watch videos if it is easy. I always answer very fast and figure out the structure of my brain. It is very interesting. I am deaf person and still at the University of Oklahoma. This is great explaining will get you an A+ if you practice lot, it will help you to be successful. If it is hard for you. Don't give up and hope too. My major is Finance and Actuarial Mathematics with a Bachelor degree..
Taking geometry right now, but this is way more engaging! When I get farther in, I probably won’t be able to do some of it, but I’ll learn a lot from this. Thanks a lot for this video!
12 hours ago, I was a boy. Now, I’m a man.
Respecc
😂
Nice one 😂
After 2 weeks and countless migraines. I have too ascended to man hood.
@@theseed2199 .
And dont forget your calculus exam is at 12 tomorrow.
Me at midnight: its showtime
Tooooo jokes 😂😂
Device battery 😂
@@whysoserious5259 PCs don't use battery
@@wedmunds then what about eyes and brain.
@@whysoserious5259 They run on food, not batteries.
I can't believe I'm binge watching calculus
💀
Me too
2 and a half hours into this lecture and this is seriously making me question how the hell do some teachers manage to make maths seem so daunting , I never thought to learn trigonometry like you explain it ❤️
I know, right? The majority of comments in educational videos usually express students are learning more from online videos than school itself, too. That's kinda concerning in terms of schools. Especially since you're paying them to learn.
@@user-et5kg7vr9y To be fair, the students that are learning successfully in class won't turn to videos. It's a selection bias thing.
@@Nihilist_Porcupine why would the other half turn to youtube if the classroom was good
Well I go head because Ilv math
Rajeev Ranjan
Sitting through the entire video AFTER failing calculus feels like watching the evidence unfold in court
Damn
I’m dead lol
You caught me unguard, lmao 😆😆😆
yeep
Guilty
Me puts it on 2x speed: CALCULUS IN 6 HOURS
You genius 😂😂
it's big brain time
Rip english
You might as well use wolfarama and do calculus in 30 seconds
Is there any one who watched this continuously upto the end????
4 weeks of attending lectures and recitation and this woman summarized everything I could not understand for exam 1 in just 2 hours. I FEEL MORE CONFIDENT THAN EVER FOR A TEST.
how did it go
How did it go mate
It was pretty good I understood everything on that test, I just ran out of time 😂
@@bonidel3713 but did you pass or not?
@@artemaniaco293That, we may never know
Day 1
(0:00:00) [Corequisite] Rational Expressions ✅
(0:09:40) [Corequisite] Difference Quotient ✅
(0:18:20) Graphs and Limits ✅
(0:25:51) When Limits Fail to Exist ✅
(0:31:28) Limit Laws ✅
(0:37:07) The Squeeze Theorem ✅
(0:42:55) Limits using Algebraic Tricks ✅
(0:56:04) When the Limit of the Denominator is 0 ✅
(1:08:40) [Corequisite] Lines: Graphs and Equations ✅
(1:17:09) [Corequisite] Rational Functions and Graphs ✅
Day 2
(1:30:35) Limits at Infinity and Graphs ✅
(1:37:31) Limits at Infinity and Algebraic Tricks ✅
(1:45:34) Continuity at a Point
(1:53:21) Continuity on Intervals
(1:59:43) Intermediate Value Theorem
(2:03:37) [Corequisite] Right Angle Trigonometry
keep going
WHERE IS DAY 3
@@literally_ganyu Dude just gave up
BLUD GAVE UP
He gave up 😭 I'm cooked
I didn't know that mathematicians do speedruns lmao
Then you'd love physics. We are all about doing speedruns on work that we've never even covered!
@iNeverPlayFair wooosh i guess, yes you can post me in r/ihavereddit
HAHAHAHA xD
i'd surely do segmented speedruns xD
Welcome
The more you sweat in practice, the less you bleed in war .
Beautiful
Tough!
Why not just bleed during practice?
Oooh!
@@JohnSmith-kj2od because if you bleed too much you die
In high school I got Ds and Cs in math. In College I got an A in Calculus. The difference was an encouraging professor and many hours laboring in the math lab. I was determined to understand it. Your determination determines your future. I became a CPA using algebra everyday. I suppose I should have become a higher paid actuary, but I was not as determined to master statistics. 😊. Good luck to all. The man who invented the jet engine was able to do it because of his determination not because he was deemed smart. The world is your oyster if you dive into the ocean.
CPA? which profession is that?
@@AbdulAhad-oo6wjcertified public accountant
This gives me hope:)!!
True words mate, consistency and discipline makes u unfold ur true potential
If you were bad at maths in school how did you crack college entrance exam of maths and get in a college unless you are talking about your 1st and 2nd grade results of maths??
I guess this would be considered a “personal” problem, but there are times where I wish I could be at this level of intelligence. I was just horrible at math. I had a learning disability (IEP) which, shamefully, made learning even harder for me. Now at the age of 26 I’m just now starting undergrad, but I’m struggling a bit in Algebra this semester. To put it simply, I have no business ever watching this video.
I just hope no one makes the same mistakes or endures the struggles that I made in school. Good luck to everyone.
Teacher: *give a week to prepare for test*
Me the day before:
Haha
69 likes
@@theseed2199 try 506
@@user-vp9op4cc6g how about 540
571
Imagine a whole college curriculum recorded on youtube, broadcast for free.
It's actually incredible common in the last 10 years or so. Most major universities ans ivy league schools now offer from recordings of acrual classes.
Universities like MIT and Oxford does provides that, but those videos will be at least 3-4 years old, not latest
@@DC-zh5qs Sometimes. But I think that's a fair trade off for the fact that they are F R E E. I'm still paying off my student loans from my BS and MBA, I don't want to have to pay for additional classes on top of that just because I want to learn about something new.
College = scam
@@jonathandenis5249 not really some degrees can be crutial
I have been looking to brush up on calculus since I left school. I can't believe how well you articulate your ideas. This video and its creators are an invaluable resource for self-guided learning.
I'm eternally thankful to Dr. Linda Green and FreeCodeCamp. You guys gave me hope and confidence that I never thought I could get from actually UNDERSTANDING Cal I materials.
I'm 30 yo and trying to go back to school for my Master's. I really needed to review Cal I which I took in college ~10 years ago. I was not confident if I could do it, because I was struggling even 10 years ago in my Cal I class. Just finished this video (thoroughly watching and taking notes till the end) in two weeks and I think I'm ready to move on to my next step. Thank you, thank you, thank you!!!!
Guys i did it. I DID IT. I actually watched the entire video! I’m proud of myself. Imma take a nap
Omg
Just a few more times and you might be comfortable with the basics :)
@@bjarnestronstrup9122 hahaha 💀
How much did you retain? Lmao
@@ludwigvanbeathoven-beatsmo8228 surprisingly I remember almost all (except the exact proofs for why derivative multiplication works and stuff)
Finally, an ASMR that actually makes me sleep.
Just like classroom asmr
I am watching the video so that I don't fall asleep.
lol
Epic xD
lol
As a uni student doing this course i find this video extremely helpful, having someone else describe the parts of the course again in a different way really helps with understanding the concepts! Thank you :)
Been on a 2 year gap year before college and needed to brush up on Calculus. Half way through and can't thank y'all enough.
Fun fact: most of the people who save this won't finish watching within their lifetime
Facts brother.
Shut up, I totally will, and if I don't forget I'll be back to tell you XD :P
if I don't I'd fail hahaa
definitely
We'll see about that
*people in 1970: "In 2020 we will have flying cars"
2020: Calculus speedrun
bro 🤣🤣🤣
we have planes tho
@@powerSeriesEXwe had planes in 1970 too
Just sat through this video in 3 days because I had a long break between calculus 1 and calculus 2, and now I wish that this was my professor for Calc 1, amazing explanations and simplifications, makes you understand formulae so you can work them out if you tend to forget them.
this is such a sweet full course that starts with basic maths (which I inconveniently forget sometimes) so we can grasp the harder concepts to come thank u very much this is very cool
TIME STAMPS AND EVERYTHING, THIS CHANNEL DESERVES A GRAMMY
Nobel*
You clearly don't know what a Grammy is 🤷♂️
Judging by the replies, this channel needs to post a course about understanding jokes pretty urgently
@@frosty_teacup should it be named Humorous 1 or Pre-humorous ?
@@ammo7204 It should be called Pre-Humorous, Humorous 1 is learning how to make jokes yourself
This is what society needs. Great people giving great things to help others. A very kind gesture given without pay, you are one among the heroes of modern education. May god bless.
if heaven exists, these are the kind of people that you will find there.
@@RaimonTarou
"as it is written:
“None is righteous, no, not one;
no one understands;
no one seeks for God.
All have turned aside; together they have become worthless;
no one does good,
not even one.”
- Romans 3:10-12
"But God shows his love for us in that while we were still sinners, Christ died for us." -Romans 5:8
@@RaimonTarou Heaven exists! The only way out of death and to Heaven is through Jesus Christ. He will cleanse us of our sins with His blood if we believe. God will only allow us into His home if we are clean of our sins, and Jesus Christ died so that we can be forgiven of our sins and have everlasting life.
"For God so loved the world that He gave His only begotten Son, that whoever believes in Him should not perish but have everlasting life." - John 3:16
Jesus Christ died for us and offered us salvation if we would simply just believe! It is so simple, that even a dumb man, blind man, deaf man, any man of any color can believe! God so loved the world that He was willing to die for us and all that you need to do is just believe in Jesus Christ, the son of God Almighty.
@@peterstroe1216 no one cares
@@peterstroe1216 Allah the mighty
I am so happy I came across this video. As someone who took precalc 2 years ago and got a C, you're a life saver. You explain things so well and this will legit be my ticket to a good grade in Calc 1
Hi
4 months into my sabbatical from high school and watching this to not lose my grip
I completely forgot the magic of math. Every equation is like solving a puzzle, except I hate actual puzzles, and seeing the final result is just pure bliss
The fact that this is free on youtube is incredible. Thank you, people who do this make the world a better place (even tho there's no way I'm watching a minute of it)
is this good for college? i mean i am in sem one, and have topics like single variable calculus and multivariabe calculus , does it convers them?
@@oksowhat i doubt it would actually be able to replace what a college course could offer but it's still a great source anyway. Might be good for review for example
@@connormichalec yeh, checked it, it's just High school calculus, we have a bad professor, and classes are online
@@oksowhat I am pretty sure single variable calculus is a prerequisite for multi variable calculus. So not very likely you have both in one semester. Also this only covers Calculus 1 which is single variable calculus while calculus 2 is multi variable.
This is so boring that I am not watching a minute of it
"You can't prepare for an exam in one night"
*Me after finding this video*
POWER!!! UNLIMITED POWER!!!
AHAHAHAAHAH YOU FOOLS, SLEEP? I don't need it
@@RahulRoy-tc3lt what is this ancient rarity you speak of?
damn last I checked by 12 hours the night wouldve been long over
@@udhi-_- ye but its only 11 hours and 53 minutes long so we barely make it
Me: puts vid on 2x speed so I can learn all of calculus in 6 hours
I am a math major with Distinction. It’s sad I forgot so much in the last 27 years since so graduated 😢. Glad to revisit the subject that I was good at. It’s refreshing and almost like poetry!
Your video really helped me to recap everything I've learned at my university. We've focused so much on hard problems and tricks that I didn't get the basics, thanks for fixing that!
Full College Course Any% Glitchless Speedrun in 11:53:47 [World Record]
Lol Dream the mathematician
Times 2 speed 6 hours [new world record]
it really is any% because you can watch the video and still not know any calculus
@@Nero-lx2gs I have a 4x speed plugin so the new record is 3 hours
@@StormForthcoming Are you being serious? Because I was thinking about sitting down and learning calculus for real at least for an hour a day to keep my mind sharp.
Why's this in my recommended and why did i even click....
Why am i here?? just to suffer??
Nah guys. Who needs school when you have Internet.
I’m 12
Same I don't even have to study calculus 🤡
Google just add new algorithm to read your mind while you are staring at screen, lol
My calculus paper is on tomorrow Morning and I find this 12 hour masterpiece just 8 hours before exam. Lots of Love From Pakistan 🇵🇰❤
how did it go
looks like he died
i watched this video as a 6TH grader and i'm a 13 year old in my sophomore year now. thank you!
Expections :- after 12 hours i will be master in calculas
Reality:- after 12 minutes (in hospital)
you mean in L'Hospital?
sorry.
@@kamimcv5686 L'hoptial*
in l'hopital's rule.
True 😂😂😂
@@kamimcv5686 I hate you lmaoo
My mom:- your teacher told me you are so dumb in maths.
.
.
A few moments later
.
.
Me:- i am going to end my teacher whole career in just 12 hours
You can’t learn calculus in 12 hours. If it was that easy my life would be so much easier.
without homeworks
@@yagnapatel3912 Yes, sadly, maths and such needs a lot of practice to master, even if you learn all the laws and understand them.
Lol, whole career? This is just Cal1 and Cal2
@@yagnapatel3912 you can but ofc you probably wouldn't be anywhere near good
My god! I remember three years ago I took Calculus 1 and 2. Best time of my life! I'm gonna watch this for review this summer(2023) before I take Calculus 3 and Linear Algebra. Thanks!
During my high school years I had the worst math professor who constantly screamed at us, used very rude manners and contributed to making me anxious and terrified of math to the point I was convinced I was a completely lost cause. This was then followed by a 1st year of uni Analysis I professor who started off by announcing "I am going to be the primary obstacle between you and graduating". I was completely lost and discouraged, dropped out and proceeded to obtain a degree in an unrelated field. Then my passion for the sciences resurfaced, and I joined a new degree and am about to start with Analysis II. This video is helping me pick up all the scattered calculus I topics I did throughout the years, and I can't express enough gratitude to this teacher and all the teachers in online communities who teach math in a soothing and clear way, avoiding screaming or intimidations. Hopefully I will do even more math in the future!
The person that watched the whole video straight is no longer a human.
I've watched 12 hours of anime straight, if you enjoy it this can't be any different
@@reibiscoito8334 the anime is fine because you only need to do is watch and enjoy but if you watch math 12 hours straight..not only stressed you'll get...you also die of pain in the head and you will not enjoy it.
@@makisekyouma3667 i just completed the algebra and precalculus course in one go. I dont have any pain in head
@@reibiscoito8334 you're right i finished 2 anime season in 1 day but when I start watching online video course idk why can't i continue even 30mins
@@aedaldaniel watashimo!
me: hmm my paper is due tomorrow
my brain: ok but wat if we reviewed calculus
😂😂😂😂😂🤣🤣
I feel attacked rn
no cause same lmao
Doing AP Calc over the summer this year. Tracking my progress
(0:00:00) [Corequisite] Rational Expressions ✔
(0:09:40) [Corequisite] Difference Quotient ✔
(0:18:20) Graphs and Limits ✔
(0:25:51) When Limits Fail to Exist ✔
(0:31:28) Limit Laws ✔
(0:37:07) The Squeeze Theorem ✔
(0:42:55) Limits using Algebraic Tricks ✔
(0:56:04) When the Limit of the Denominator is 0 ✔
(1:08:40) [Corequisite] Lines: Graphs and Equations ✔
(1:17:09) [Corequisite] Rational Functions and Graphs ✔
(1:30:35) Limits at Infinity and Graphs ✔
(1:37:31) Limits at Infinity and Algebraic Tricks ✔
(1:45:34) Continuity at a Point✔
(1:53:21) Continuity on Intervals✔
(1:59:43) Intermediate Value Theorem✔
(2:03:37) [Corequisite] Right Angle Trigonometry ✔
(2:11:13) [Corequisite] Sine and Cosine of Special Angles✔
(2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine✔
(2:24:46) [Corequisite] Properties of Trig Functions✔
(2:35:25) [Corequisite] Graphs of Sine and Cosine✔
(2:41:57) [Corequisite] Graphs of Sinusoidal Functions✔
(2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc✔
(3:01:03) [Corequisite] Solving Basic Trig Equations✔
(3:08:14) Derivatives and Tangent Lines✔
(3:22:55) Computing Derivatives from the Definition✔
(3:34:02) Interpreting Derivatives✔
(3:42:33) Derivatives as Functions and Graphs of Derivatives✔
(3:56:25) Proof that Differentiable Functions are Continuous✔
(4:01:09) Power Rule and Other Rules for Derivatives✔
(4:07:42) [Corequisite] Trig Identities✔
(4:15:14) [Corequisite] Pythagorean Identities✔
(4:20:35) [Corequisite] Angle Sum and Difference Formulas✔
(4:28:31) [Corequisite] Double Angle Formulas✔
(4:36:01) Higher Order Derivatives and Notation✔
(4:39:22) Derivative of e^x✔
(4:46:52) Proof of the Power Rule and Other Derivative Rules✔ (theres no audio for this one 😥)
This right here is what I practicing at before I undergo the actual course calculus myself at Texas A & M. This is a great video for those trying to learn this.
when it’s 2am and u finished watching everything on youtube
relatable
Nothing happens!
Reading this at 2:04 am
Accurate
Exactly 2 right now
20 7 21
⭐️ Course Contents ⭐️
(0:00:00) [Corequisite] Rational Expressions
(0:09:40) [Corequisite] Difference Quotient
(0:18:20) Graphs and Limits
(0:25:51) When Limits Fail to Exist
(0:31:28) Limit Laws
(0:37:07) The Squeeze Theorem
(0:42:55) Limits using Algebraic Tricks
(0:56:04) When the Limit of the Denominator is 0
(1:08:40) [Corequisite] Lines: Graphs and Equations
(1:17:09) [Corequisite] Rational Functions and Graphs
(1:30:35) Limits at Infinity and Graphs
(1:37:31) Limits at Infinity and Algebraic Tricks
(1:45:34) Continuity at a Point
(1:53:21) Continuity on Intervals
(1:59:43) Intermediate Value Theorem
(2:03:37) [Corequisite] Right Angle Trigonometry
(2:11:13) [Corequisite] Sine and Cosine of Special Angles
(2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine
(2:24:46) [Corequisite] Properties of Trig Functions
(2:35:25) [Corequisite] Graphs of Sine and Cosine
(2:41:57) [Corequisite] Graphs of Sinusoidal Functions
(2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc
(3:01:03) [Corequisite] Solving Basic Trig Equations
(3:08:14) Derivatives and Tangent Lines
(3:22:55) Computing Derivatives from the Definition
(3:34:02) Interpreting Derivatives
(3:42:33) Derivatives as Functions and Graphs of Derivatives
(3:56:25) Proof that Differentiable Functions are Continuous
(4:01:09) Power Rule and Other Rules for Derivatives
(4:07:42) [Corequisite] Trig Identities
(4:15:14) [Corequisite] Pythagorean Identities
(4:20:35) [Corequisite] Angle Sum and Difference Formulas
(4:28:31) [Corequisite] Double Angle Formulas
(4:36:01) Higher Order Derivatives and Notation
(4:39:22) Derivative of e^x
(4:46:52) Proof of the Power Rule and Other Derivative Rules
(4:56:31) Product Rule and Quotient Rule
(5:02:09) Proof of Product Rule and Quotient Rule
(5:10:40) Special Trigonometric Limits
(5:17:31) [Corequisite] Composition of Functions
(5:29:54) [Corequisite] Solving Rational Equations
(5:40:02) Derivatives of Trig Functions
(5:46:23) Proof of Trigonometric Limits and Derivatives
(5:54:38) Rectilinear Motion
(6:11:41) Marginal Cost
(6:16:51) [Corequisite] Logarithms: Introduction
(6:25:32) [Corequisite] Log Functions and Their Graphs
(6:36:17) [Corequisite] Combining Logs and Exponents
(6:40:55) [Corequisite] Log Rules
(6:49:27) The Chain Rule
(6:58:44) More Chain Rule Examples and Justification
(7:07:43) Justification of the Chain Rule
(7:10:00) Implicit Differentiation
(7:20:28) Derivatives of Exponential Functions
(7:25:38) Derivatives of Log Functions
(7:29:38) Logarithmic Differentiation
(7:37:08) [Corequisite] Inverse Functions
(7:51:22) Inverse Trig Functions
(8:00:56) Derivatives of Inverse Trigonometric Functions
(8:12:11) Related Rates - Distances
(8:17:55) Related Rates - Volume and Flow
(8:22:21) Related Rates - Angle and Rotation
(8:28:20) [Corequisite] Solving Right Triangles
(8:34:54) Maximums and Minimums
(8:46:18) First Derivative Test and Second Derivative Test
(8:51:37) Extreme Value Examples
(9:01:33) Mean Value Theorem
(9:09:09) Proof of Mean Value Theorem
(0:14:59) [Corequisite] Solving Right Triangles
(9:25:20) Derivatives and the Shape of the Graph
(9:33:31) Linear Approximation
(9:48:28) The Differential
(9:59:11) L'Hospital's Rule
(10:06:27) L'Hospital's Rule on Other Indeterminate Forms
(10:16:13) Newtons Method
(10:27:45) Antiderivatives
(10:33:24) Finding Antiderivatives Using Initial Conditions
(10:41:59) Any Two Antiderivatives Differ by a Constant
(10:45:19) Summation Notation
(10:49:12) Approximating Area
(11:04:22) The Fundamental Theorem of Calculus, Part 1
(11:15:02) The Fundamental Theorem of Calculus, Part 2
(11:22:17) Proof of the Fundamental Theorem of Calculus
(11:29:18) The Substitution Method
(11:38:07) Why U-Substitution Works
(11:40:23) Average Value of a Function
(11:47:57) Proof of the Mean Value Theorem for Integrals
thank you hermano
thank you hermano
thank you hermano
thank you hermano
Thanks hermano
A tip to anyone stuck on radians, change from using pi to using tau (2pi) then each of the 12 points with intervals of 30degrees are now a distance of tau/12 apart. same can be done with the 8 points 45deg apart which are now tau/8 apart
I’m in a 9 grade and i was so proud when i could do rational expression very quickly with correct answers!
others in the comments: i have to learn calculus, i have exam.
me: person watching math videos to get out of mental breakdown
i dont need to learn it i just like torture
r/iamverysmart
I am in 9th standard, living in India, and I think learning calculus is cooler than insta, so I am here
is this leacture okay for 12th jee aspirant??"
It is calming... For many strange reasons!
(0:00:00) [Corequisite] Rational Expressions
(0:09:40) [Corequisite] Difference Quotient
(0:18:20) Graphs and Limits
(0:25:51) When Limits Fail to Exist
(0:31:28) Limit Laws
(0:37:07) The Squeeze Theorem
(0:42:55) Limits using Algebraic Tricks
(0:56:04) When the Limit of the Denominator is 0
(1:08:40) [Corequisite] Lines: Graphs and Equations
(1:17:09) [Corequisite] Rational Functions and Graphs
(1:30:35) Limits at Infinity and Graphs
(1:37:31) Limits at Infinity and Algebraic Tricks
(1:45:34) Continuity at a Point
(1:53:21) Continuity on Intervals
(1:59:43) Intermediate Value Theorem
(2:03:37) [Corequisite] Right Angle Trigonometry
(2:11:13) [Corequisite] Sine and Cosine of Special Angles
(2:19:16) [Corequisite] Unit Circle Definition of Sine and Cosine
(2:24:46) [Corequisite] Properties of Trig Functions
(2:35:25) [Corequisite] Graphs of Sine and Cosine
(2:41:57) [Corequisite] Graphs of Sinusoidal Functions
(2:52:10) [Corequisite] Graphs of Tan, Sec, Cot, Csc
(3:01:03) [Corequisite] Solving Basic Trig Equations
(3:08:14) Derivatives and Tangent Lines
(3:22:55) Computing Derivatives from the Definition
(3:34:02) Interpreting Derivatives
(3:42:33) Derivatives as Functions and Graphs of Derivatives
(3:56:25) Proof that Differentiable Functions are Continuous
(4:01:09) Power Rule and Other Rules for Derivatives
(4:07:42) [Corequisite] Trig Identities
(4:15:14) [Corequisite] Pythagorean Identities
(4:20:35) [Corequisite] Angle Sum and Difference Formulas
(4:28:31) [Corequisite] Double Angle Formulas
(4:36:01) Higher Order Derivatives and Notation
(4:39:22) Derivative of e^x
(4:46:52) Proof of the Power Rule and Other Derivative Rules
(4:56:31) Product Rule and Quotient Rule
(5:02:09) Proof of Product Rule and Quotient Rule
(5:10:40) Special Trigonometric Limits
(5:17:31) [Corequisite] Composition of Functions
(5:29:54) [Corequisite] Solving Rational Equations
(5:40:02) Derivatives of Trig Functions
(5:46:23) Proof of Trigonometric Limits and Derivatives
(5:54:38) Rectilinear Motion
(6:11:41) Marginal Cost
(6:16:51) [Corequisite] Logarithms: Introduction
(6:25:32) [Corequisite] Log Functions and Their Graphs
(6:36:17) [Corequisite] Combining Logs and Exponents
(6:40:55) [Corequisite] Log Rules
(6:49:27) The Chain Rule
(6:58:44) More Chain Rule Examples and Justification
(7:07:43) Justification of the Chain Rule
(7:10:00) Implicit Differentiation
(7:20:28) Derivatives of Exponential Functions
(7:25:38) Derivatives of Log Functions
(7:29:38) Logarithmic Differentiation
(7:37:08) [Corequisite] Inverse Functions
(7:51:22) Inverse Trig Functions
(8:00:56) Derivatives of Inverse Trigonometric Functions
(8:12:11) Related Rates - Distances
(8:17:55) Related Rates - Volume and Flow
(8:22:21) Related Rates - Angle and Rotation
(8:28:20) [Corequisite] Solving Right Triangles
(8:34:54) Maximums and Minimums
(8:46:18) First Derivative Test and Second Derivative Test
(8:51:37) Extreme Value Examples
(9:01:33) Mean Value Theorem
(9:09:09) Proof of Mean Value Theorem
(0:14:59) [Corequisite] Solving Right Triangles
(9:25:20) Derivatives and the Shape of the Graph
(9:33:31) Linear Approximation
(9:48:28) The Differential
(9:59:11) L'Hospital's Rule
(10:06:27) L'Hospital's Rule on Other Indeterminate Forms
(10:16:13) Newtons Method
(10:27:45) Antiderivatives
(10:33:24) Finding Antiderivatives Using Initial Conditions
(10:41:59) Any Two Antiderivatives Differ by a Constant
(10:45:19) Summation Notation
(10:49:12) Approximating Area
(11:04:22) The Fundamental Theorem of Calculus, Part 1
(11:15:02) The Fundamental Theorem of Calculus, Part 2
(11:22:17) Proof of the Fundamental Theorem of Calculus
(11:29:18) The Substitution Method
(11:38:07) Why U-Substitution Works
(11:40:23) Average Value of a Function
(11:47:57) Proof of the Mean Value Theorem for Integrals
u r amazing thanks for this
I love you for this
nice copy and paste
this hommie wanted likes but hheheehehee
ua-cam.com/video/S8-97elM3ho/v-deo.html
Thank you for this wonderful math series.
11:37:46 - Answer should be 3/2 in both cases.
Thanks for this
As a mature aged learner I love this...thanks for making it available free
That is so generous
I bet this must be heaven for high school students, who don't attend lectures
@@goldeternal erus, uA
@Solve Everything no it's not
@@AmineChM21 Yes, it is.
I never paid attention in math and still got A's all the time.
So did I , but going to school is important not just for learning but for human development.
Quit frying your brains peepz
This woman is genuinely heroic. Finally a lecturer that doesn't assume I know everything already and doesn't feel the need to use overly complicated language when introducing concepts for the first time. Legendary.
Thats why it's on FCC
This makes a lot more sense now than it did in college and I'm unsure of why but... I can't believe how simple this seems. It's one thing to recall something and go "I remember that"; it's another thing to also go "That makes perfect sense".
Love that this revises previous topics, completely forgot trig and was dreading revising it.
Gonna be taking this in college next semester, keeping track of my progress as of this comment
how far r u in the video
nice logo
but seriously gl with the course.
How far r u into this video
Ayyy nice logo
yo
I am gonna start college in a few months, and I must say: THANK YOU. Channels like yours make education much more accessible to everyone.
Me who went into college without any preparation 👁️👄👁️ I'm on my fourth year now but I feel like I haven't learned anything at all 😭😂 so here goes watching UA-cam lectures
is this leacture okay for 12th jee aspirant??"
@@ThanideepaDeepu Depends in what you are in but this is basically my first math class at university
@@ThanideepaDeepu this won't help a lot as a JEE aspirant because it is not made according to the JEE exam.
@@ammo7204 hey I'll be starting college this year and my calculus isn't that good should I watch this ?
Thank you mam. I am in high school and calculas composises almost 45%of the maths paper. This video just might help me secure those marks 100%.
That's why thank you
This is a life changing video...finally resolved my math issues with bad teachers and bad classrooms
Pardon sir, there is a video in my ads.
Quick tip: skip to the end and restart the video. The ads should be gone lol.
Is this the actual nightbot creator lol
@@thoup No, this is Patrick.
@@eminkilicaslan8945 I'm pretty sure you are. That's sick
A small price to pay for Ed
While you were watching TV all day, I was studying the way of the blade.
I, too, shall now hone my art of the blade
is this leacture okay for 12th jee aspirant??"
10:27:45 antiderivative
11:04:22 fundamental
11:29:18 substitution
Integration?
@@abdulhannan.018 it’s in calculus 2
@@sebbythelord567 thank you
@@sebbythelord567 integration is in calculus 1
@@emmanuelnsiah8036 i thought they meant integration by parts
this is actually completely blowing me away! I'm amazed! Thank you!
This video helped me go from a D to a B in Calc within a single semester. Free Code Camp is by far the best learning source there is for computer science/engineering majors. It is amazing to me that they provide all of this help for free online. Truly shows the team’s passion for teaching others
I put this on when I'm sleeping so I can have dreams on being smart.
is this leacture okay for 12th jee aspirant??"
trust me you dont want to be smart
@@ratchet2007 yea u do
@@riyaapte8544 nah
@@ratchet2007 no! you donot want to be smart!
This is so cool, I've spent my whole life avoiding math and now I've decided to go from an art career to data science I'm in serious need of a proper crash course from the start to later tackle probabilities and all these fun things to come. Thank you!
best of luck to ya
How is it going
How is your career going now?
I just freaked out when I came across this vid, it's exactly what I was searching for, can't wait to get all my doubts cleared. Thank you so much for this video, your hardwork has helped millions🥰.
Algebra 2 and Trigonometry contained in a Calculus course for refreshers is pretty nice actually. In college, typically you have to take a pre-Calculus class that is the pre-cursor of Calculus involving systems of functions, trig functions, unit circle, etc. before you take Calculus 1. Also, at the very end of Calculus 1, you are typically exposed to more topics/methods of integration that carries over into Calculus 2.
Help I accidentally learned algebra two and pre calculus
I only dislike how it the trig topics are in between lessons.
Yeah I was caught off guard when there were integrals on proving Mean value theorem, it didn't even gave me introduction what Integrating means.
4 minutes in and she has taught me more than all my math teachers combined 💀
is this leacture okay for 12th jee aspirant??"
@@ThanideepaDeepu it is a bit advanced than jee
@@manishsheoran9005 still doesnt hurt to learn more
@@manishsheoran9005 hell naw, this is so easy than jee advanced calculus. But yeah this is harder than board level calculus
@@Aecor All these are way below the jee spectrum, unless you have learnt like nothing at ALL in class, this is pretty useless
The basic meaning of calculus came from the idea that all curves come from a combination of straight segments, and by dividing ( differentiating) a curve line, or curve surface, or an object which has curve surfaces into as small as possible elements, you will have straight segments or flat surfaces or regular objects to which you can apply known formulas to find the values of each of the element, then using integration to add all those small elements up to get the answer
Doing calculus for the first time and this is a great help. Thanks.
Mom, please, can I watch one last video before I go to bed?
Mom: Ok, but only one last video
The Video:
Cut the bullshit, you probably just had this tab open to convince your mom that you were watching an educational video
@@joeyGalileoHotto chiiiillllllll
@@joeyGalileoHotto 😏 BWAHAHSGAHA
@@joeyGalileoHotto A moment of silence for the man that thought he saying he watched the whole video before bed ...
Pro-tip for pc users:
J to skip 10 seconds back
K to pause
L to skip 10 seconds forward
Left arrow key to skip 5 secs back
Right arrow key to skip 5 secs forward
I used this to fall asleep the past two nights
Bro I thought I was the only one
This is a wonderful refresher considering I haven't touched Calc in years. Thank you!
It is so relieving to watch this course after I'm done with Calculus 1, Calculus does not feel like dark magic anymore
I have autism and this really helped me through a mental break down. Calculus doesn't even apply to my major (being psychology) but im studying this video because it helped to calm me down. it really helped me forget about my current issues and made me focus on something else. Thank you, and keep up the good teaching!
Weaponise your autism to learn more things! Great respect to you man. I have severe adhd and can’t pay attention in classes so being able to pause and rewind this is amazing for me man. Hope u the best of luck in your struggle.
Hell yeah
Wahtis atisim
@@monkeysnipes186 it’s a mental health condition
good luck lovely!!
Nobody explains math like women do. So objective, so soothing. Great work, congrats!
perfectly paced. no hype, just what you need as fast as you can assemble it. i wish i would have watched this first instead of 12 hours of numberfile videos before youtube led me here.
This actually got me into Cambridge.
wow thats nice .I will use my 12 hrs now to get into Harvard .
@@jhjhzjhfjvhzxjchjhxhjc savage man! well im in tenth preparing for physics olympiad
@@jhjhzjhfjvhzxjchjhxhjc Well Im just telling that Im preparing for the olympiad, whats wrong in that
@@girishdhoundiyal4140 best of luck for your preparation .
@@jhjhzjhfjvhzxjchjhxhjc they were just continuing the joke... 「(⌒_⌒;)
I am learning calculus on my own, with the endeavor to skip college classes with this course, and this class shocks me in how beautiful math is, even at such a basic level.
I am also learning calculus from this video to skip classes 😂
@@glittery_cactus how did that work out for yall did it work?
@@EnxzVFXz So I did 5 or 6 hours from this video. It's good but then I moved to khan Academy videos. In my opinion, It's better.
Professor Linda Green, thank you for an awesome explanation and powerful analysis of Calculus One, A Full College Course. This is a tremendous amount of information to cover in almost twelve hours, however this material helps Students taking Calculus worldwide. I took Calculus One many years ago and this is a lot to digest in twelve hours or in a twelve-hour lecture. The proofs, examples and problems are very helpful in this video from start to finish. Professor Green, there is an error at the 11:36: 21-minute mark. When you Integrate e to e square of ln(x) dx divided by x, you get 1/2. The correct answer is 3/2. Please correct this error in the video.
Hey, I think it will be really difficult for them to correct this mistake! As they will have to delete this video and upload it again.
And kindly edit your comment to fix the timestamp, your comment will help us avoid that error!
This is incredibly helpful. Thank you so much for making this available for free.
"I'll discuss how to calculate 0/0 indeterminate limits in a later video"
9 hrs later: L'Hopital's rule is ....
is this leacture okay for 12th jee aspirant??"
@@ThanideepaDeepu it says undergraduate so yeah
This is a nice refresher! I took calculus back in 2015 and I need to refresh my calculus in order to pursue my masters. Thank you for the amazing video
Now this is quality content. Might come back to this video a good few times the next couple of days, weeks, months.
I just started CALC 1 at UNC Chapel Hill actually. Struggling a little bit, this is EXACTLY what I needed. I missed a lot of class in the beginning so this is so so helpful. Haha maybe I should have taken her section??
Love this video (currently at 10:16:53), I've been working on this for the past 2 weeks. I took Calculus 1 about 5 years ago, this is a great refresher / re-learner (in some sections).
(2 days later) currently at 11:29:26
I took calc 3 over 5 years ago so I desperately need a refresher! I feel like I forgot everything. 🥺
I'm proud of you, man
I'm currently in this situation. Need a refresher for the cal course I'm about redo after 6 yrs. Eep!
@@ryebry7279 you ever finished it?
At first I thought I wouldn't be able to understand her strain of thought but actually I got surprised by her incredible and ease way to explain. I'm still in the second part because I started today but I'll for sure watch and take notes of the whole video.
(Btw only the first subject of the video took me almost one hour so if you can more than that you are really special, don't give up!!!)
I am speed running 8 hours of it in that same amount of time or less.
update on how ur calc course went? howd u do?
You are a much better teacher than my current calc 1 professor. Don't get me wrong, he knows the material; he just can't get the information across nearly as well. Thank you!
I am so glad I found this video because my calc 1 teacher SUCKS and has not covered half of these concepts in class!! You are a life saver for making this video. Thank you, thank you, thank you.
THANK YOU for this. I'm an older student, so I slipped through the cracks; with twenty years between my last math class and my first day in college, I had forgotten just about everything, and geometry was not a prerequisite. Two of my last three math professors (precalc algebra and Calc1) were math geniuses who skipped entire swaths of underlying basics because they could do it in their heads. Cue me comically swinging my head around in confusion going "What?!" a lot.
This is immensely helpful.
lmao relatable
did your professors say "and immediately we see that..." It was my most hated phrase in college.
@@donnahaynes8766 "Obviously..."
"As we know..."
"It is a given that..."
"It can easily be seen that..."
Man I took a break from college for 4 years so I could actually afford to go back. I've been so nervous about relearning calc again cause I struggled with 2 so much. She makes it seam so easy. God bless people like this who take the time to help
From Bangladesh Alhamdulillah i learned that from my teacher....
I understand everything in just about 30mnts by just tapping the skip button.....
Salute to you mam,
Dedication at it's peak🖤
This is the most fun and i play with math questions. I don't have to watch videos if it is easy. I always answer very fast and figure out the structure of my brain. It is very interesting. I am deaf person and still at the University of Oklahoma. This is great explaining will get you an A+ if you practice lot, it will help you to be successful. If it is hard for you. Don't give up and hope too. My major is Finance and Actuarial Mathematics with a Bachelor degree..
I truly LOVE this woman! Clear and concise explanations! Paid thousands in tuition fees and STILL could not get this level of teaching!
I spaced this video out over the course of 2 weeks and the result was a passing grade for Calc 1
Taking geometry right now, but this is way more engaging! When I get farther in, I probably won’t be able to do some of it, but I’ll learn a lot from this. Thanks a lot for this video!
Thank you for the lesson. This is the type of content that deserves millions of views. These are the type of people we need more in this society.