Learn Calculus 1 in this full college course.
This course was created by Dr. Linda Green, a lecturer at the University of North Carolina at Chapel Hill. Check out her YouTube channel: https://www.youtube.com/channel/UCkyLJh6hQS1TlhUZxOMjTFw
This course combines two courses taught by Dr. Green. She teaches both Calculus 1 and a Calculus 1 Corequisite course, designed to be taken at the same time. In this video, the lectures from the Corquisite course, which review important Algebra and Trigonometry concepts, have been interspersed with the Calculus 1 lectures at the places suggested by Dr. Green.
⭐️ Prerequisites ⭐️
🎥 Algebra: https://www.youtube.com/watch?v=LwCRRUa8yTU
🎥 Precalculus: https://www.youtube.com/watch?v=eI4an8aSsgw
⭐️ Lecture Notes ⭐️
🔗 Calculus 1 Corequisite Notes: http://lindagreen.web.unc.edu/files/2020/08/courseNotes_math231L_2020Fall.pdf
🔗 Calculus 1 Notes: http://lindagreen.web.unc.edu/files/2019/12/courseNotes_m231_2018_S.pdf
⭐️ 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
source
I am gonna do this you guys and i am gonna try and watch it whole
wow
wait so why are people afraid of calculus
I believe at 8:22:03, the units should be m/min because that is what the water flows in at a rate of 3 cubic metres per minute.
This is actl college calculus?? Feels easier than high school. Was expecting multivariable calculus
For tan(Φ) at 2:24:07 (The Unit Circle), I'm getting -2.7477. Even when I follow her method of using the ratio. How does she get -0.3639?
MAKES ME SLEEP! YOU'RE NOT THE GOOD TEACHER I WAS WISHING TO HAVE ENCOUNTER TO REGARDING CALCULUS!
j
😲
What math do I need to learn first before getting into Calc? Is geo needed? Or trig?
don't mind me, just commenting time stamps for personal use 🙂
42:55
1:31:05
3:08:14
how old are you when you're supposed to be learning caculas 1?
Is this a good video to watch for preparation for the AP Calc exam?
This is the real meaning of the word "FREE"
12 hours AND has subtitles? amazing
omfg
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
Thia is cool
This is calculus? Its starts with fraction I never took calculus in school yet I was supposed to I tool statistics with a teacher that could not speak English well it started with about 25 people ended with like 8 I got a B
She did this for free thanks so if I get through this then take calculus for the grade it will be much easier
❤
12hr before: i am groot
After 12 hrs : I AM GROOT
Don't put ads
Is there an integration lesson embedded in the video?
1:29:07 1:30:42 1:37:38 1:43:06 1:53:24 1:59:43 2:07:35 2:10:00 2:37:10 2:42:03 2:52:13 3:01:06 3:08:19 3:22:39 3:33:34 3:42:18 3:45:58 3:48:50 3:53:34
I put this on as white noise to fall asleep to
I’m in the final year of my college and I have never studied these 3 years except for the exam times and just byhearted stuff and got passing mark and now I finally want to study for the sake of gaining knowledge and improving my skills .i donno where to start but math is really important if I want to get a seat in the college which I always wanted to go to pursue masters in computer science.idk where to start .so I selected calculus .I hope I learn it well
I am in 9th grade and I am taking this whole thing down. thats doable for me. ig
Thank you for the video but the sound of it is very low
1:54:54
xd
I'm in 8th grade and I'm so bored I decided to become a major in calculus.
Me trying to prepare college this fall 😭
At 11:36:08 the answer is 3/2 instead of 1/2
Iam getting a bit pissed of , as this is what we would consider final year primary school. and start of what we call in europe lower education ages 12 to 16 . with calculation methods used in 1st class primary school .
Its insulting to call it collage when its no more than primary school methods.
Watched Entire video in 2 days
Hearing her say "along the way" has got to be the greatest feeling ever.
1:23:25 denominator for the fraction should be 2 + 5 not 2 + 7
Someone gotta be listening cause i need to take cal 1 to get into my major in college…..
i hate calculus with every bone in my body
May god bless.
Hellow !
This channel provides short tricks to solve Mathematical important questions which are included in competitive exams,
Kindly have a look it might help you.
Thank you!
https://youtube.com/channel/UCGzQlM55F77wygpZ1PG5vmg
last resort
I played it at playback speed x1.75 because it would take too long