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Davidson–Carver Method on a Spreadsheet
Basics of Calculus Chapter 3, Topic 7-Davidson-Carver Method on a Spreadsheet
This video shows the solution to an equation using both Newton’s Method and the higher order method employing tangent parabolas, nicknamed the Davidson-Carver Method for these videos. These are worked out on a spreadsheet.
See www.nofrillspublishing.com/calculus/home.html for all videos and information on taking this as an online course.
This video shows the solution to an equation using both Newton’s Method and the higher order method employing tangent parabolas, nicknamed the Davidson-Carver Method for these videos. These are worked out on a spreadsheet.
See www.nofrillspublishing.com/calculus/home.html for all videos and information on taking this as an online course.
zhlédnutí: 284
Video
Davidson-Carver Method
zhlédnutí 300Před 4 lety
Basics of Calculus Chapter 3, Topic 6-The Davidson-Carver Method The Davidson-Carver Method is a method like Newton’s Method, which approximates solutions to equations. While Newton’s Method uses tangent lines to converge to the root of an equation, Davidson-Carver uses tangent parabolas. This results in fewer steps to arrive at a desired accuracy, but the drawback is that the method is somewha...
Kepler’s Laws; Einstein’s General Relativity
zhlédnutí 520Před 5 lety
College Trigonometry Chapter 12, Topic 11-Kepler’s Laws; Einstein’s General Relativity Kepler’s Laws are three laws governing planetary motion, or orbits in general. Named for astronomer Johannes Kepler (1571 - 1630), these incorporate ellipses. Hyperbolas also show up when a body is traveling too fast by a larger body to be captured into an orbit. Albert Einstein postulated that gravity bends ...
Hyperbola Examples
zhlédnutí 151Před 5 lety
College Trigonometry Chapter 12, Topic 9-Hyperbola Examples Graphs and equations of hyperbolas are explored in several examples. See www.nofrillspublishing.com/tri... for all videos and information on taking this as an online course.
Properties of Hyperbolas
zhlédnutí 869Před 5 lety
College Trigonometry Chapter 12, Topic 10-Properties of Hyperbolas Hyperbolas are what happens when the eccentricity is greater than 1. They are the most complicated, but perhaps most interesting, of the conic sections. See www.nofrillspublishing.com/tri... for all videos and information on taking this as an online course.
Reflective Property of Ellipses
zhlédnutí 910Před 5 lety
College Trigonometry Chapter 12, Topic 7-Reflective Property of Ellipses Like parabolas, ellipses also have an interesting reflective property, which manifests in "whispering galleries." See www.nofrillspublishing.com/tri... for all videos and information on taking this as an online course.
The Hyperbola
zhlédnutí 101Před 5 lety
College Trigonometry Chapter 12, Topic 8-The Hyperbola Hyperbolas are what happens when the eccentricity is greater than 1. They are the most complicated, but perhaps most interesting, of the conic sections. See www.nofrillspublishing.com/tri... for all videos and information on taking this as an online course.
Ellipse Examples
zhlédnutí 106Před 5 lety
College Trigonometry Chapter 12, Topic 6-Ellipse Examples Here are several examples of graphing ellipses. See www.nofrillspublishing.com/tri... for all videos and information on taking this as an online course.
The Ellipse
zhlédnutí 91Před 5 lety
College Trigonometry Chapter 12, Topic 5-The Ellipse Ellipses are oval shapes, literally circles that are stretched into ovals. The classic definition of this conic section is the collection of all points such that the sum of distances to two foci points is constant. This video shows the derivation of the algebra equation of an ellipse from this definition. It is an excellent illustration of an...
Reflective Property of Parabolas
zhlédnutí 504Před 5 lety
College Trigonometry Chapter 12, Topic 4-Reflective Property of Parabolas A parabola that is rotated forms a three-dimensional surface called a paraboloid. These have an interesting reflective property that is used in satellite dish antennas and other objects that amplify sound, light or radio waves. One more example of a parabola is also given, finding the equation from a description of a para...
Parabola Examples
zhlédnutí 129Před 5 lety
College Trigonometry Chapter 12, Topic 3-Parabola Examples Graphs of parabolas are given using the vertex/focus/directrix forms. See www.nofrillspublishing.com/tri... for all videos and information on taking this as an online course.
The Parabola
zhlédnutí 149Před 5 lety
College Trigonometry Chapter 12, Topic 2-The Parabola A parabola is an intersection of points equidistant from a point (the focus) and a line (the directrix). This video elaborates on this definition, which dates to around 300 A.D, and then uses it to derive the algebra equation of a parabola in these terms. See www.nofrillspublishing.com/tri... for all videos and information on taking this as ...
The Parabola (Old-will be deleted.)
zhlédnutí 30Před 5 lety
College Trigonometry Chapter 12, Topic 2-The Parabola A parabola is an intersection of points equidistant from a point (the focus) and a line (the directrix). This videos elaborates on this definition, which dates to around 300 A.D. We will use this definition in the next video to derive the algebra equation of a parabola in these terms. See www.nofrillspublishing.com/tri... for all videos and ...
Introduction to Conic Sections
zhlédnutí 122Před 5 lety
College Trigonometry Chapter 12, Topic 1-Introduction to Conic Sections The intersection of a cone and a plane fascinated mathematicians in ancient times. We will explore the three most interesting of these conic sections in this course, the parabola, ellipse and hyperbola. This provides a foray into analytical geometry, which combines algebra and geometry into an effective means of analyzing c...
Angle Between Vectors
zhlédnutí 121Před 5 lety
College Trigonometry Chapter 11, Topic 7-Angle Between Vectors One of the many applications of the dot product of vectors is a technique for finding the angle between two vectors. See www.nofrillspublishing.com/tri... for all videos and information on taking this as an online course.
Calculator Shortcuts for Finding Roots of Complex Numbers
zhlédnutí 142Před 5 lety
Calculator Shortcuts for Finding Roots of Complex Numbers
Principal Root of a Complex Number Example
zhlédnutí 2,2KPřed 5 lety
Principal Root of a Complex Number Example
Extending De Moivre's Theorem to Negative Integers
zhlédnutí 556Před 5 lety
Extending De Moivre's Theorem to Negative Integers
De Moivre's Theorem - Powers of Complex Numbers
zhlédnutí 123Před 5 lety
De Moivre's Theorem - Powers of Complex Numbers
Multiplying Complex Numbers in Polar Form
zhlédnutí 140Před 5 lety
Multiplying Complex Numbers in Polar Form
Who outside engineering would need this?
very informative video. thank you sir
Informative🤗
So basically the second derivative is useful to have an idea about the whether the point is local minima or maxima
Về hàm số bậc hai.....
Jack black's long lost brother
loved it
I cant believe be said 2x negative number equals negative
Great❤
Thank you sir!
I always wondered why math texts are indecipherable. Now I know why. As always, when you see a situation you don't understand, look for the monetary cause.
I used to voice record all of my lectures and then listen to the recordings in the evening while rewriting my notes. It's amazing how much I missed during the actual lecture that I picked up on the recording. I went from C's to straight A's by this method. It's very time-consuming, but effective. Forget about having a life outside of school though
What a quick and rich summary
Thank you for sharing!
Thank you alot ,was truly helpful
Big boi stuff
thanks for the vid, your the best
Thanks❤
Professor, I hope you are ok, since you haven't been posting since 4 years. I really like learning from you, you help me visualize maths, and not just learn formulae.
❤
Thank you so much sirrr❤❤... Im an jee dropper student and i was facing difficulty in this topic even learning this in my online lecture... But you cleared it in just 3 min... Hats off to u sir☺☺👍
Best explanation ever lol
You just proved that Homer would require an infinite amount of time to complete the journey.
Problem I have is when X=1 the Y is negative. The words coming out of my bro’s mouth aren’t matching the graph 🧐 (confusion is around the second graph)
Thank you so much!
You deserve more likes😢 Best explanation ever seen
Thank you so much professor. The best explanation on concavity and maxima and minima points that i found on youtube.
Thank you!
Can we use transcendental numbers without integers in order to create a new system of numbers? I would think that they are a good fit for explaining the infinite nature of logarithmic exponentiality in quantum physics. I do not believe time is real, I think entropic charge of a system defines the rate of transformation, and that it is not a constant. I want to create a system based on pi = 1 quark oscillation, and Euler's constant can be used to explain the return to entropic neutrality after x amount of cycles based on initial entropic charge and energy present in the system. I arrived here looking into radians, but most of the content out there is about converting them into degrees, which is the opposite of what I'm trying to achieve. I believe the current system of numbers is flawed because assuming linearity is simplifying the exponential curve of infinity into something that it is not. I want to create multidimensional numbers that are always true to transcendental numbers and resonate with quantum physics like quark oscillation and "sacred" geometry without being hindered by the assumption that time is real which is what is, in my opinion, holding current science back to a primitive level. Entropy is what defines the rate of change, time is just an illusion we use to explain the rate of entropy based on planets circling around the sun, which is totally bonkers primate thinking to think one equals the other, it is obviously different in different entropic systems. I was thinking of modelling my system based on how RNA shapes DNA while hold information yet always being able to change. I think such a system would allow us to replace the linearity of integers with an underlying rate of entropy that shapes how these numbers interact between each others at the vector level. I'm not trained mathematician so this might all sound like gibberish to some, lmao. TBH I dropped out of school when I couldn't wrap my head around polynomial calculus. I didn't understand the way to do it they explained to us, I purposefully did it differently, but somehow I always ended up with the right answer anyway. I just did it in a way my teacher declared incorrect, so how did it always lead me to the right answer? Math is no different to languages in the sense that it holds the meaning we extract out of it, and we can infer different meanings using similar forms of breaking things down. That's why I want to take what works with current mathematics and translate it to a different numbering system that accounts for infinite exponentiality using vector physics and transcendental numbers.
Yikes... word salad much? I feel you might not have had any classes that explain relativity in a way that makes sense to you. Linear mathematics is not flawed, it is very useful. I didn't realize infinity had a curve, much less an exponential one. Having the curiosity and the drive to investigate these topics is important, and I commend you for having such a drive. As the internet is vast, it is important to be very skeptical about where you get your information from. This channel is a great resource.
Thank You Sir ❤
I'm here because I want you to understand that in the summer earth is 1) farther from the sun and 2) moving slower Time dilation, according to Einstein says time moves "faster" when farther from gravity source and moves "faster" when "traveling slower." Time moves "slower" closer to gravity source and "slower" when "traveling faster." So, in conclusion, the passage of time seems doubly faster in summer and doubly slower in winter. Or the reverse, who knows?
Great explanation, thank you!
In India we have to learn this in class 11 .... And there is no teachers like you sir in our schools🙏🙏🙏
Very clear explanation! Thank you!
I wish I had seen this earlier. Thank you so much you are great!
Another great explaination
Great job!
Bro effortlessly you explained this whole concept...Good job prof! Put some more videos. Like and sub.
Топ
Hello sir if you are seeing this I want to say a very big thanks 😊...it helped me to understand it after struggling for 1 whole day
Concave up is known as convex (like the "v" in the word). We use these to classify our characterizations. You can also have convex with zero second partial derivatives (multivariable) which is a halfpipe and concave with zero second partial derivatives (multivariable) which is a tunnel.
🙏जय श्री राम 🙏
This guy is great!
Thanks for this video, it explained the second derivative test conceptually really well!
Thank you very much!
Thank you so much...
En fait, on peut trouver les sin, cos, tan etc des angles multiples de 3° par additions, soustractions etc mais comme dans le cas des polygones, il faut que le nombre de côtés soit un nombre de fermat ou un multiple de 2 par ex. Je me suis pris la tête pendant des années avec l'équation simple : X^3-3x=1 pour essayer de la résoudre sous forme de radicaux sans utiliser les complexes. Mais résolue par "Cardan" elle fait appel à des racines cubiques de nombres complexes, résolues elles-mêmes par des cos pi/9 etc...(3 solutions). On tourne en rond...
Loved it 🥰🥰
No One has seen this masterpiece? Hi, from Mozambique (África).
www.trisectionpolysectionsolutions.com