Learn Calculus 1 From Scratch (Full Course)
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Free one page Calculus 1 formula sheet: https://www.brithemathguy.com/sheet?utm_source=youtube&am…
The full Calculus 1 course in one video: limits, derivatives, applications of derivatives, integrals, and applications of integrals, taught from scratch with worked examples, in the order a first calculus course runs.
Prefer it one unit at a time?
Unit 1, Limits: https://youtu.be/WGGVeRZN49M
Unit 2, Derivatives: https://youtu.be/IL23eEzuxUE
Unit 3, Applications of Derivatives: https://youtu.be/q_ioxdm91no
Unit 4, Integrals: https://youtu.be/3Vr354P3cjo
Unit 5, Applications of Integrals: https://youtu.be/z8mlcZ9KRGE
CHAPTERS
0:00 UNIT 1: LIMITS
3:09 What a limit actually is
5:36 When the graph lies to you
6:44 The five limit cases
8:06 Case 1: substitute first
9:55 Case 2: factor and cancel
11:56 Case 3: combine the fractions
14:26 Case 4: multiply by the conjugate
17:47 Case 5: the trig limits
19:47 One-sided limits
24:22 Infinite limits and vertical asymptotes
28:01 Limits at infinity and end behavior
33:12 Continuity
34:40 The types of discontinuity
39:38 The Intermediate Value Theorem
41:45 Unit 1 recap
42:30 UNIT 2: DERIVATIVES
43:37 Average rate of change
46:01 Secants and tangents
46:52 The definition of the derivative
48:27 A derivative fully by hand
52:18 Derivative notation
55:06 The tangent line
57:39 When the derivative doesn't exist
59:03 The power rule
1:05:00 The product rule
1:07:47 The quotient rule
1:10:28 The chain rule
1:17:35 Trig, exponential and log derivatives
1:22:04 Implicit differentiation
1:25:11 Logarithmic differentiation
1:29:58 Unit 2 recap
1:30:14 UNIT 3: APPLICATIONS OF DERIVATIVES
1:31:27 Increasing and decreasing
1:32:26 Critical points
1:36:59 The first derivative test
1:39:00 Concavity
1:39:59 The second derivative
1:42:28 The second derivative test
1:44:40 The Mean Value Theorem
1:46:40 Rolle's theorem
1:47:26 Curve sketching
1:54:03 Absolute extrema on a closed interval
1:56:37 Optimization
2:01:09 Related rates
2:06:25 L'Hopital's rule
2:11:13 Linear approximation
2:14:37 Differentials
2:15:30 Unit 3 recap
2:16:38 UNIT 4: INTEGRALS
2:18:32 Area under a rate graph
2:19:54 Riemann sums: cover it with rectangles
2:22:30 Right sums and left sums
2:23:39 Sigma notation
2:25:03 The definite integral
2:26:54 Antiderivatives
2:27:35 Why the plus C
2:29:44 Initial conditions
2:32:15 The accumulation function
2:34:09 The Fundamental Theorem, part one
2:37:47 The Fundamental Theorem, part two
2:40:32 Properties of definite integrals
2:42:26 The rest of the antiderivative table
2:44:30 Net signed area
2:46:56 u-substitution
2:54:29 u-substitution on definite integrals
2:56:17 Unit 4 recap
2:56:57 UNIT 5: APPLICATIONS OF INTEGRALS
2:58:43 Area between curves
3:01:58 When the curves swap
3:03:55 Integrating in y
3:05:52 Net change
3:07:33 Displacement vs distance
3:10:34 Average value
3:14:26 Volumes: the disk method
3:18:06 Spinning around a line that isn't an axis
3:19:30 The washer method
3:21:47 Cross-sections
3:23:03 Cylindrical shells
3:26:16 Disk, washer, or shell?
3:28:33 The whole course in one picture
3:30:38 Where the road goes next
This video was partially created using Manim.
#calculus #calculus1 #math
The full Calculus 1 course in one video: limits, derivatives, applications of derivatives, integrals, and applications of integrals, taught from scratch with worked examples, in the order a first calculus course runs.
Prefer it one unit at a time?
Unit 1, Limits: https://youtu.be/WGGVeRZN49M
Unit 2, Derivatives: https://youtu.be/IL23eEzuxUE
Unit 3, Applications of Derivatives: https://youtu.be/q_ioxdm91no
Unit 4, Integrals: https://youtu.be/3Vr354P3cjo
Unit 5, Applications of Integrals: https://youtu.be/z8mlcZ9KRGE
CHAPTERS
0:00 UNIT 1: LIMITS
3:09 What a limit actually is
5:36 When the graph lies to you
6:44 The five limit cases
8:06 Case 1: substitute first
9:55 Case 2: factor and cancel
11:56 Case 3: combine the fractions
14:26 Case 4: multiply by the conjugate
17:47 Case 5: the trig limits
19:47 One-sided limits
24:22 Infinite limits and vertical asymptotes
28:01 Limits at infinity and end behavior
33:12 Continuity
34:40 The types of discontinuity
39:38 The Intermediate Value Theorem
41:45 Unit 1 recap
42:30 UNIT 2: DERIVATIVES
43:37 Average rate of change
46:01 Secants and tangents
46:52 The definition of the derivative
48:27 A derivative fully by hand
52:18 Derivative notation
55:06 The tangent line
57:39 When the derivative doesn't exist
59:03 The power rule
1:05:00 The product rule
1:07:47 The quotient rule
1:10:28 The chain rule
1:17:35 Trig, exponential and log derivatives
1:22:04 Implicit differentiation
1:25:11 Logarithmic differentiation
1:29:58 Unit 2 recap
1:30:14 UNIT 3: APPLICATIONS OF DERIVATIVES
1:31:27 Increasing and decreasing
1:32:26 Critical points
1:36:59 The first derivative test
1:39:00 Concavity
1:39:59 The second derivative
1:42:28 The second derivative test
1:44:40 The Mean Value Theorem
1:46:40 Rolle's theorem
1:47:26 Curve sketching
1:54:03 Absolute extrema on a closed interval
1:56:37 Optimization
2:01:09 Related rates
2:06:25 L'Hopital's rule
2:11:13 Linear approximation
2:14:37 Differentials
2:15:30 Unit 3 recap
2:16:38 UNIT 4: INTEGRALS
2:18:32 Area under a rate graph
2:19:54 Riemann sums: cover it with rectangles
2:22:30 Right sums and left sums
2:23:39 Sigma notation
2:25:03 The definite integral
2:26:54 Antiderivatives
2:27:35 Why the plus C
2:29:44 Initial conditions
2:32:15 The accumulation function
2:34:09 The Fundamental Theorem, part one
2:37:47 The Fundamental Theorem, part two
2:40:32 Properties of definite integrals
2:42:26 The rest of the antiderivative table
2:44:30 Net signed area
2:46:56 u-substitution
2:54:29 u-substitution on definite integrals
2:56:17 Unit 4 recap
2:56:57 UNIT 5: APPLICATIONS OF INTEGRALS
2:58:43 Area between curves
3:01:58 When the curves swap
3:03:55 Integrating in y
3:05:52 Net change
3:07:33 Displacement vs distance
3:10:34 Average value
3:14:26 Volumes: the disk method
3:18:06 Spinning around a line that isn't an axis
3:19:30 The washer method
3:21:47 Cross-sections
3:23:03 Cylindrical shells
3:26:16 Disk, washer, or shell?
3:28:33 The whole course in one picture
3:30:38 Where the road goes next
This video was partially created using Manim.
#calculus #calculus1 #math
@BriTheMathGuy
Free one page Calculus 1 formula sheet: www.brithemathguy.com/sheet?utm_source=youtube&utm…
7 likes
@SaintEnderYam
If I don't get a 100 on my Calculus 1 final this semester I want a refund of $0
94 likes
@SaharaIssack-h4h
This is why I love YouTube.
22 likes
@VishnuJadoun-tq6in
I came, I watched, I subscribed.
8 likes
@Thebane-r5u5
God does exist
Thank you man
41 likes
@LOFIRAPSIndia
I have completed this course and after researching,I found out that this vid contains everything about calculus 1 except squeeze theorem ifu completed this video,just do squeeze theorem and ur ready to go
1 likes
@AdamsAdams-u7x
This channel deserves more recognition.
3 likes
@raulgalets
It really is bafling... a 4 hour youtube video surely cointains everything you could ever think about calculus, sure. but a 4 hour class on calculus in college is probably only 3% of the course
9 likes
@TasmiaIjaz-t5t
This deserves a standing ovation.
2 likes
@MeklitEndeg
I am incredibly thankful
6 likes
@Gtrun
Pls make a calc 2 one as well. You explain this really well
2 likes
@Smallges
Update on my comment from 2 weeks ago: I got a 94 on my first calc exam, and it got bumped to a 100 w/ some extra credit stuff! All I used to study was this video. Now using this to study for my next exam this coming Wednesday. You're the man!!
@kiênphongnguyễn-o8f
You have an incredible style.
@JanvinKish
This video cured my boredom.
3 likes
@MUBARAKSARKINPADA
This performance is exactly what I needed It helped me understand better.
@AbubakarMusabalele
Thanks for making my day better.
@JoyceFeld-u1m
YouTube knew exactly what I needed today.
@ECreatorRaymanSalkeld
Thank you so much! Finally someone I enjoy watching explaining the very basics! You should try more math courses in this video format.
@SomyashreeBhuyan
It's absolutely my favourite lecture on calculus, please sir never delete this video, it's a gem 💎
@timmy_eee
Please make one for calc 2
3 likes