Calculus 3 Full Course | Calculus 3 complete course

This course is comprised of the curriculum typical of a third semester Calculus course, including working in three-dimensions, vectors (including vector operations and calculus with vector functions), partial derivatives (and their applications), multiple integrals, and vector calculus.

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[GraceMaplegem]

Timestamps:
0:00 Introduction to Vectors (12.2.1)
12:31 Vector Length and Unit Vectors (12.2.2)
20:59 Dot Product (12.3.1)
31:44 The Two Definitions of Dot Product are Equivalent (12.3.2)
36:28 Cross Product Introduction (12.4.1)
46:39 Properties of Cross Product (12.4.2)
55:11 Cross Product and Areas of Parallelograms
59:30 Properties of Cross Product
1:08:30 Lines and Planes (12.5.1)
1:17:18 More Examples of Lines and Planes
1:28:23 Parallel And Perpendicular Lines and Planes
1:40:39 Distances between Points, Lines, and Planes
1:50:29 Vector Functions and Space Curves (13.1.1)
1:58:37 Derivatives and Integrals of Vector Functions (13.2.1)
2:10:14 Arclength for Parametric Curves (10.2.3)

2:17:26 Functions of Several Variables (14.1.1)
2:23:06 Limits of Functions of Several Variables (14.2.1)
2:36:20 (Example, prove sin(x) <= |x|)
2:46:57 Partial Derivatives (14.3.1)
2:57:33 The Chain Rule (14.5.1)
3:03:38 Justification of the Chain Rule (14.5.2)
3:06:40 Directional Derivatives (14.6.1)
3:19:31 The Tangent Plane (14.5.1)
3:32:43 Local Maximum and Minimum Values (14.7.1)
3:40:57 The Second Derivatives Test (14.7.2)
3:50:50 Proof of the Second Derivatives Test (14.7.4)
4:05:32 Lagrange Multipliers (14.8.1)*

4:18:32 Double Integrals and Riemann Sums (15.1.1)

[simonefantin]

0:00 Introduction to Vectors
12:31 Vector Length and Unit Vectors
20:59 Dot Product
31:44 The Two Definitions of Dot Product are Equivalent
36:28 Cross Product
46:39 Properties of Cross Product

[micaelviniciusliraprado]

4:18:32 Double integrals
5:03:15 Area under normal curve
5:25:30 Triple integrals

[curtisrichards]

Thank you Dr Green a very concise recap of calculus 3. Overall very well presented and still easy to follow even at 1.75x normal speed. Only issue I see is the video should be about an hour longer as you missed a few important topics such as the extension of greens theorem, stokes’ theorem, and divergent theorem. All usually covered at the end of the course and quite important. Other then these topics very good job.

[Zakariah]

If you don't define terms then this class is all Greek. Also, if you don't show students the practical applications of all this then it is all academic. This is why most students drop math.

[doctorstrange]

7:00:00 CONSERVATIVE VECTOR FIELDS AND INDEPENDENCE OF PATHS

[doctorstrange]

4:48:20 Integration using Polar Cordinates.

[hamedhilal]

Thank you so much! I'm reviewing calc 3 material and your video is extremely helpful!

[pianodan]

At 8:04:15, I believe there should be a coefficient of 2 as well in the answer

[mustafaMK]

Way better then my professor, nice job keep it up

[hosseng]

I loved this course! very clear and learned a lot about calculus 3. Thank you so much professor.

[justintang]

hihi just spotted a mistake at 2:07:36, shldnt the y = 1 + 3t^2 not y = 1 + 3t. thankss great vid!

[WildOne]

Thank you Dr. Linda Green, thank you Nerd's lesson

[xBlueRose]

Thank you so much for this video! You explain things so much more clearly than my teacher at school.

[freonsp]

Ig I'll learn maths up to calculus 3 since dr. Linda green is teaching it. Why not?

[justiceprovider]

At 4:07, why is the area of rectangle 4xy? wouldn't the rectangle be out of the magenta surface then?

[Zakariah]

Professor fouls up at 5:20.... The terminal point is actually 3, 5 not 3, 4 details... 👀

[Noob-dcxs]

I’m an 8th grader watching this not understanding anything😭😂

[milli]

What is the next level in calculas partial differential equations?

[Shashank_Shahi]

Do you have any course on how to do research in stem field ? Writing research paper etc ?