Alexandra Niedden
Alexandra Niedden
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Calc 3 16.9 Notes: The Divergence Theorem
Objective:
13. Use the Divergence Theorem to find the flux of a vector field across a closed surface.
Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html
PDF copy of the notesheets: drive.google.com/file/d/105IeGB4pweqjfTQ29Oab0X03sn09N8uv/view?usp=sharing
Переглядів: 335

Відео

Calc 3 16.8 Notes: Stokes' Theorem
Переглядів 312Місяць тому
Objective: 4. Define work as a line integral and evaluate the work done by a force as its point of application moves along a curve. Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html PDF copy of the notesheets: drive.google.com/file/d/105IeGB4pweqjfTQ29Oab0X03sn09N8uv/view?usp=sharing
Calc 3 16.7 Notes: Surface Integrals
Переглядів 379Місяць тому
Objectives: 10. Define a surface integral. 11. Evaluate surface integrals. 12. Find the flux of a vector field across a surface. Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html PDF copy of the notesheets: drive.google.com/file/d/105IeGB4pweqjfTQ29Oab0X03sn09N8uv/view?usp=sharing
Calc 3 16.5 Notes: Curl & Divergence
Переглядів 258Місяць тому
Objectives: 8. Define and compute the curl of a vector field in 3-space. 9. Define and compute the divergence of a vector field. Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html PDF copy of the notesheets: drive.google.com/file/d/105IeGB4pweqjfTQ29Oab0X03sn09N8uv/view?usp=sharing
Calc 3 16.4 Notes: Green's Theorem
Переглядів 492Місяць тому
Objective: 7. Use Green's Theorem to evaluate a line integral over a closed curve. Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html PDF copy of the notesheets: drive.google.com/file/d/105IeGB4pweqjfTQ29Oab0X03sn09N8uv/view?usp=sharing
Calc 3 16.3 Notes: The Fundamental Theorem for Line Integrals
Переглядів 441Місяць тому
Objectives: 5. Determine whether a work integral is independent of path. 6. Define a conservative vector field and its potential function, and recover the latter given the former. Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html PDF copy of the notesheets: drive.google.com/file/d/105IeGB4pweqjfTQ29Oab0X03sn09N8uv/view?usp=sharing
Calc 3 16.2 Notes: Line Integrals
Переглядів 609Місяць тому
Objectives: 2. Define a line integral. 3. Evaluate line integrals. 4. Define work as a line integral and evaluate the work done by a force as its point of application moves along a curve. Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html PDF copy of the notesheets: drive.google.com/file/d/105IeGB4pweqjfTQ29Oab0X03sn09N8uv/view?usp=sharing
Calc 3 Notes 16.1: Vector Fields
Переглядів 784Місяць тому
Objective: 1. Understand the concept of a vector field by considering examples which might include gravitational, velocity, or electric fields. See this Khan Academy video for a brief explanation and awesome visual of vector fields! ua-cam.com/video/VJ2ZDLQk3IQ/v-deo.html Ch 16 playlist: ua-cam.com/play/PLGOk2-zeLtjCT6PfbdnG6ORkZXFLXmx8Z.html PDF copy of the notesheets: drive.google.com/file/d/...
Calc 3 15.2 Notes: Double Integrals over General Regions
Переглядів 1,2 тис.2 місяці тому
Objectives: 2. Find the volume of certain solids using an iterated integral in rectangular coordinates. 3. Evaluate an iterated integral by reversing the order of integration. Ch 15 playlist: ua-cam.com/play/PLGOk2-zeLtjC_ONpG6dEL21iWJjgXgqJu.html PDF copy of the notesheets: drive.google.com/file/d/1-CKVeIxvx0lbrqoPUe4fEIHnMCiTojhW/view?usp=sharing
Calc 3 15.9 Notes: Change of Variables in Multiple Integrals
Переглядів 1,5 тис.2 місяці тому
Objective: 10. Use change of variables in multiple integrals and use the Jacobian. Ch 15 playlist: ua-cam.com/play/PLGOk2-zeLtjC_ONpG6dEL21iWJjgXgqJu.html PDF copy of the notesheets: drive.google.com/file/d/1-CKVeIxvx0lbrqoPUe4fEIHnMCiTojhW/view?usp=sharing
Calc 3 15.8 Notes: Triple Integrals in Spherical Coordinates
Переглядів 8752 місяці тому
Objectives: 8. Use iterated integrals to evaluate triple integrals in rectangular, cylindrical and spherical coordinates. 9. Find volumes using iterated integrals in rectangular, cylindrical and spherical coordinates. Ch 15 playlist: ua-cam.com/play/PLGOk2-zeLtjC_ONpG6dEL21iWJjgXgqJu.html PDF copy of the notesheets: drive.google.com/file/d/1-CKVeIxvx0lbrqoPUe4fEIHnMCiTojhW/view?usp=sharing
Calc 3 15.7 Notes: Triple Integrals in Cylindrical Coordinates
Переглядів 9862 місяці тому
Objectives: 8. Use iterated integrals to evaluate triple integrals in cylindrical coordinates. 9. Find volumes using iterated integrals in cylindrical coordinates. Ch 15 playlist: ua-cam.com/play/PLGOk2-zeLtjC_ONpG6dEL21iWJjgXgqJu.html PDF copy of the notesheets: drive.google.com/file/d/1-CKVeIxvx0lbrqoPUe4fEIHnMCiTojhW/view?usp=sharing
Calc 3 15.6 Notes: Triple Integrals
Переглядів 1,1 тис.2 місяці тому
Objectives: 7. Define the triple integral of a function of three variables. 8. Use iterated integrals to evaluate triple integrals in rectangular coordinates. 9. Find volumes using iterated integrals in rectangular coordinates. Ch 15 playlist: ua-cam.com/play/PLGOk2-zeLtjC_ONpG6dEL21iWJjgXgqJu.html PDF copy of the notesheets: drive.google.com/file/d/1-CKVeIxvx0lbrqoPUe4fEIHnMCiTojhW/view?usp=sh...
Calc 3 15.5 Notes: Surface Area
Переглядів 6592 місяці тому
Objective: 6. Use a double integral to find surface area. Ch 15 playlist: ua-cam.com/play/PLGOk2-zeLtjC_ONpG6dEL21iWJjgXgqJu.html PDF copy of the notesheets: drive.google.com/file/d/1-CKVeIxvx0lbrqoPUe4fEIHnMCiTojhW/view?usp=sharing
Calc 3 15.3 Notes: Double Integrals in Polar Coordinates
Переглядів 1,3 тис.2 місяці тому
Objectives: 4. Express a double integral as an iterated integral in polar coordinates. 5. Find area and volume using an iterated integral in polar coordinates. A written review of polar curves: brilliant.org/wiki/polar-curves/#types-of-polar-curves A video tutorial for graphing polar curves: ua-cam.com/video/ttLigQ4DQRI/v-deo.html (Thank you, Mrs. Hernandez!) Ch 15 playlist: ua-cam.com/play/PLG...
Calc 3 15.1 Notes: Double Integrals Over Rectangles
Переглядів 2,1 тис.2 місяці тому
Calc 3 15.1 Notes: Double Integrals Over Rectangles
Calc 3 14.6 Notes: Directional Derivatives and the Gradient Vector
Переглядів 8742 місяці тому
Calc 3 14.6 Notes: Directional Derivatives and the Gradient Vector
Calc 3 14.8 Notes: Lagrange Multipliers
Переглядів 1,5 тис.2 місяці тому
Calc 3 14.8 Notes: Lagrange Multipliers
Calc 3 14.7 Notes: Maximum and Minimum Values
Переглядів 1 тис.2 місяці тому
Calc 3 14.7 Notes: Maximum and Minimum Values
Calc 3 14.5 Notes: The Chain Rule
Переглядів 7242 місяці тому
Calc 3 14.5 Notes: The Chain Rule
Calc 3 14.4 Notes: Tangent Planes and Linear Approximations
Переглядів 8822 місяці тому
Calc 3 14.4 Notes: Tangent Planes and Linear Approximations
Calc 3 14.3 Notes: Partial Derivatives
Переглядів 7832 місяці тому
Calc 3 14.3 Notes: Partial Derivatives
Calc 3 14.2 Notes: Limits & Continuity
Переглядів 8502 місяці тому
Calc 3 14.2 Notes: Limits & Continuity
Calc 3 13.4 Notes: Motion in Space - Velocity & Acceleration
Переглядів 3903 місяці тому
Calc 3 13.4 Notes: Motion in Space - Velocity & Acceleration
Calc 3 13.3 Notes: Arc Length & Curvature
Переглядів 8103 місяці тому
Calc 3 13.3 Notes: Arc Length & Curvature
Calc 3 13.2: Derivatives and Integrals of Vector Functions
Переглядів 9033 місяці тому
Calc 3 13.2: Derivatives and Integrals of Vector Functions
Calc 3 13.1: Vector Functions and Space Curves
Переглядів 1,7 тис.3 місяці тому
Calc 3 13.1: Vector Functions and Space Curves
Calc 3 12.6 Notes: Cylinders & Quadric Surfaces
Переглядів 1,1 тис.3 місяці тому
Calc 3 12.6 Notes: Cylinders & Quadric Surfaces
Calc 3 12.5 Notes: Equations of Lines & Planes
Переглядів 8093 місяці тому
Calc 3 12.5 Notes: Equations of Lines & Planes
Calc 3 12.4 Notes: The Cross Product
Переглядів 4403 місяці тому
Calc 3 12.4 Notes: The Cross Product

КОМЕНТАРІ

  • @elenazheng8896
    @elenazheng8896 4 години тому

    Hello, the teaching is fantastic. On 13:44, #5, how did you calculate or tell that the radius is 2?

  • @AK47_414
    @AK47_414 6 днів тому

    You are a phenomenal educator

  • @yusuffabdulmusawwir6807
    @yusuffabdulmusawwir6807 14 днів тому

    Why did the video suddenly blur out?

  • @yusuffabdulmusawwir6807
    @yusuffabdulmusawwir6807 14 днів тому

    Which software did the textbook use to generate the diagram?

  • @DawnForrest-ov9rz
    @DawnForrest-ov9rz 19 днів тому

    Very clear and great video. Thanks!

  • @prashanthalai1413
    @prashanthalai1413 21 день тому

    Ma'am i still didn't get it why is our goal to find partial of z with respect to y can you please explain. And how can we determine that our z is the dependent variable.

  • @everythinggush
    @everythinggush 24 дні тому

    Hi, so how do we know when to find the intersection between x and y and when to just sketch the region D from the graph we graphed.

  • @jameyatesmauriat6116
    @jameyatesmauriat6116 25 днів тому

    I can’t imagine you’re holding the pen like this and could write anything!

  • @petchhubb
    @petchhubb 25 днів тому

    Thanks

  • @nairez3937
    @nairez3937 25 днів тому

    So every time when we have to find gradient f = F we have to integrate right ?

  • @lush_scrumptious
    @lush_scrumptious 26 днів тому

    5years ago and this is still helpful

  • @himanshiverma6388
    @himanshiverma6388 26 днів тому

    how is 128 <0 in the table as it is a positive value and is greater than 0?

  • @amiralasoroushfar7649
    @amiralasoroushfar7649 27 днів тому

    a،@

  • @danielasepulveda9143
    @danielasepulveda9143 28 днів тому

    Thank you

  • @KaleabZegale-hr3km
    @KaleabZegale-hr3km 29 днів тому

    your voice sound is so lovely Miss

  • @mehrshadjanesari6138
    @mehrshadjanesari6138 Місяць тому

  • @charlottendlovu8991
    @charlottendlovu8991 Місяць тому

    Don't sleep on this teacher. She's too good. 👌🏿

  • @nil6580
    @nil6580 Місяць тому

    thank you so much

  • @ehwazm7373
    @ehwazm7373 Місяць тому

    Great video, save from satan. Good 👍

  • @kobereginald811
    @kobereginald811 Місяць тому

    ❤❤❤

  • @hajigul5373
    @hajigul5373 Місяць тому

    very nicely

  • @TameTeshome
    @TameTeshome Місяць тому

    Thanks 🙏🙏🙏🙏🙏

  • @TameTeshome
    @TameTeshome Місяць тому

    ❤ thank you so much My teacher

  • @s9raw
    @s9raw Місяць тому

    In case 3 in lamda its have to be ( lamda <0) to be negative and use comlex

  • @ismailsurnameless178
    @ismailsurnameless178 Місяць тому

    the noise of the pen is disturbing

  • @libusengmakoa7857
    @libusengmakoa7857 Місяць тому

    Helo mam how do you see that the radius is 4 at 11:31

    • @alexandraniedden5337
      @alexandraniedden5337 Місяць тому

      The radius is actually 1 and the height of the cylinder is 4. As you look at the figure, the "circular" part of the cylinder goes from x = -1 to x = 1, thus giving a diameter of 2 (radius of 1). The cylinder extends along the y-axis from y = -2 to y = 2, hence a height of 4. Hope this helps!

  • @BofeiHou
    @BofeiHou Місяць тому

    thank you for this. You just save my life.

  • @nguyenquoctran8423
    @nguyenquoctran8423 Місяць тому

    why is x=x0; y=y0 a plane. I thought it's a line ? e.g: x = 3; y = 5 is a line parallel to Oz and can have any z value. thank you

    • @alexandraniedden5337
      @alexandraniedden5337 Місяць тому

      x=# and y=# both represent lines in 2-space. Picture the line x=3 on the xy-plane. When we consider the equation x=3 in 3-space, that line then "goes up and down" with z forming a plane.

  • @ritishpokhrel4271
    @ritishpokhrel4271 Місяць тому

    you are THE GOATTTTTT

  • @theodoremercutio1600
    @theodoremercutio1600 Місяць тому

    ua-cam.com/video/z6PXviT86tI/v-deo.htmlsi=2I2QMRBbj6saeGj0

  • @elentadevosyan3669
    @elentadevosyan3669 Місяць тому

    Smn, answer please! At which grade do you study this?

  • @alvarojimenez2057
    @alvarojimenez2057 Місяць тому

    Does this work if i have: Uxx+x=Ut 0<x<π U(0,t)=t U(π,t)=0 t>0 U(x,0)=(Cos(x))^(2) Because I tried using this video as a guide and my final Solution does not match the original P.D.E

  • @Salahuddin-nv6kh
    @Salahuddin-nv6kh Місяць тому

    THANK YOU so much! <3

  • @petchhubb
    @petchhubb Місяць тому

    Thank you

  • @victorstefanoski3944
    @victorstefanoski3944 Місяць тому

    bro thank you

  • @sandanondlozi
    @sandanondlozi Місяць тому

    thank you

  • @ahmedsellami1743
    @ahmedsellami1743 Місяць тому

    This is the best teacher that I’ve ever seen. Period. Good job really 🫡

  • @FU4Y
    @FU4Y Місяць тому

    This is like the best time to upload this lol. My course has 16.2 to 16.5 and have finals tomorrow, been cramming your lectures for the past couple days

  • @muhammedaslan6231
    @muhammedaslan6231 Місяць тому

    In 21:21, it should go from 0 to y not x.

  • @SaifurRehman-ly6wu
    @SaifurRehman-ly6wu Місяць тому

    you are also like george green, most of students donot know about your work.Keep uploading lectures mam, they are very helpful.

  • @FU4Y
    @FU4Y Місяць тому

    These lectures are great, I have watched the whole chapter 14 and now speedrunning onto 15 and 16 as I have finals in two days

  • @akmazawawi8077
    @akmazawawi8077 Місяць тому

    Could i get the notes madam?

    • @alexandraniedden5337
      @alexandraniedden5337 Місяць тому

      Sure! Here is the draft: drive.google.com/file/d/1pt6SX9tjt2lAOfYityZxZyMuKXlYkFhC/view?usp=sharing There will be updates as I find mistakes :)

  • @saifurrehman1423
    @saifurrehman1423 Місяць тому

    Waiting for 16.3 😍

  • @enriquesoler3150
    @enriquesoler3150 Місяць тому

    I have a question for these types of limits: after I try direct substitution and got an indeterminate form, do I just go straight into proving the limit DNE or first try limit rules first to see if I can get a limit value, and if that fails I prove the limit DNE?

    • @alexandraniedden5337
      @alexandraniedden5337 Місяць тому

      First try limit rules. Ultimately if you get an indeterminate form, the limit most likely doesn't exist, but not always.

  • @theodoremercutio1600
    @theodoremercutio1600 Місяць тому

    Living legend❤❤❤

  • @CatoVersluis
    @CatoVersluis Місяць тому

    What if u1 is something with du/dx in it?

  • @freemasry-gr8hw
    @freemasry-gr8hw Місяць тому

    Thank you my exam is after 5 days.

  • @user-ii4mq7pl1r
    @user-ii4mq7pl1r Місяць тому

    keep it up we like you ........from ethiopia

  • @mudasirjan06
    @mudasirjan06 Місяць тому

    We appreciate you for being an awesome person ❤