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The foreign concepts of calculus often make it hard to jump right into learning it. If you ever wanted to dive into the world of mathematics - or if you are just having difficulty in your calculus class - and are having a hard time grasping the ideas, you should watch this video to go over the core principles of calculus in a way that requires no background knowledge: at a fifth grade level.

See also:

Infinity: https://www.youtube.com/watch?v=YnJe9eGsetk

Trailer: https://www.youtube.com/watch?v=WiENvb2vxcQ

Music by Esther Garcia and Kara Square from www.jamendo.com. Sound effects from www.freesound.org and Finnolia Sound Effects on YouTube.

This back to school calculus 1 review video tutorial provides a basic introduction into a few core concepts taught in a typical AP calculus ab course or a first semester of college calculus.

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This calculus 1 video tutorial provides an introduction to limits. It explains how to evaluate limits by direct substitution, by factoring, and graphically.

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This video will give you a brief introduction to calculus. It does this by explaining that calculus is the mathematics of change. A couple of examples are presented, and then limits, derivatives, and integrals are introduced. For more videos please visit http://www.mysecretmathtutor.com

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Calculus 1 Lecture 1.1: An Introduction to Limits

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/channe....l/UCkyLJh6hQS1TlhUZx

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/course

🔗 Calculus 1 Notes: http://lindagreen.web.unc.edu/....files/2019/12/course

⭐ 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

The sun has been lighting our planet for 4.6 billion years and dominates all life on Earth -- but it's a speck in comparison to the other stars in the universe. | For more How the Universe Works, visit http://science.discovery.com/t....v-shows/how-the-univ

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What are neutrinos? Where do they come from? Why can't we feel then and how do we detect them? Find out on How The Universe Works.

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White dwarfs can cause both types of supernovas and magnetars, the most frightening things in the universe. However, scientists are still sure how these gigantic explosions occur.

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The Big Bang is one of science's most famous theories, but we now know it wasn't big and it wasn't a bang.

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Supernovas are the dramatic death of giant stars. Their explosions outshine all the stars in a galaxy, and the last minutes of their life are the most energetic and the most cataclysmic events that we see in the universe.

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Black holes are points in space that are so dense they create deep gravity sinks. Beyond a certain region, not even light can escape the powerful tug of a black hole's gravity. And anything that ventures too close—be it star, planet, or spacecraft—will be stretched and compressed like putty in a theoretical process aptly known as spaghettification.

The "Journey to the Edge of the Universe" documentary film broadcast on National Geographic and Discovery Channels. It documents a space journey from ...

Website: Like me on Facebook: Follow me on twitter: This documentary was made, produced ...

Humanity is at a crossroads! on this 2015 documentary we will try to predict what will happened in the future: Nearly half of the Amazon rainforest has been ...

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Universe Doc

How the Universe works - Strangest Things Found in Deep Space Exploration (Full Documentary Films)

How the Universe works - Strangest Things Found in Deep Space Exploration (Full Documentary Films)

The order of the planets in the solar system, starting nearest the sun and working outward is the following: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune and then the possible Planet Nine. If you insist on including Pluto, it would come after Neptune on the list

Does the universe itself have an edge? And where does this ultimate boundary lie?

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"How the Universe Works" is the ultimate cosmos operator's manual, a revealing look at the inner workings of outer space. Computer imagery allows viewers to explore black holes, supernovas, neutron stars, dark energy, and all of the other forces that produce what exists and what people see.

#howtheuniverseworks #space #universe #documentary

First Law of Thermodynamics

The first of law of thermodynamic says that heat is a form of energy, and as what all other forms of energy is subject to, it follows the law of conservation of energy.

So what does this mean? It means that Heat Energy also cannot be created nor destroyed and can only be transferred to one form or another.

Don’t overthink this too much, this law is all about HEAT as energy, and follows the law of conservation of energy and that’s it.

Now to appreciate the application of this law let’s try a very good one example.

This Coal is just a type of rock but for scientists this rock contains an energy that produced HEAT Energy when it undergoes a complete combustion. Actually some powerplant utilizes this coal to generate electrical energy or what we call as electricity.

What they do is that they feed this coal into a boiler furnace and with an assistance of oxygen and a little heat, this creates a combustion in a form of heat energy.

Now the heat energy, will transfer its energy to a water above it making it into a steam, and this steam will rotate a Turbine (and that’s a Mechanical Energy right there) and then this Turbine will rotate a Generator which converts that energy into Electrical Energy.

See that just by knowing this law you can do so much.

And that’s it! This is Easy Engineering.

Why is there a zeroth law of thermodynamics? What use is such a simple-sounding law? And how can it be used to smash glass? Chemical engineer Valeska Ting explains in the first film from our 2016 advent calendar, all about thermodynamics.

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The first, second and third laws of thermodynamics get all the glory. They’re the most well known and frequently mentioned. But underpinning them all is a final law so fundamental that, although it was established last, had to be moved to the front of the list: the zeroth law. In the first film of our 2016 advent calendar, chemical engineer Valeska Ting explores the zeroth law of thermodynamics.

The zeroth law is essentially an observation: if two systems are both in thermal equilibrium with a third, they are also in equilibrium with each other. This seemingly simple mantra is essential to our concept of temperature, as Valeska, armed with some very hot glasses, explains.

Our 2016 advent calendar explores the four laws of thermodynamics through 24 short films, released daily in the run up to Christmas. We’ll have explosive demonstrations, unique animations and even a musical number. Sign up to receive each instalment by email from rigb.org/advent

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The ‘Second Law of Thermodynamics’ is a fundamental law of nature, unarguably one of the most valuable discoveries of mankind; however this law is slightly confusing for most engineers or students. The main reason for this is because it has so many complex terms in it and that there are many ways that this second law can be stated, but most importantly, the majority do not understand what are the applications of this law. In this video we will create a real physical insight into this law with a minimum use of mathematics.

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First law of thermodynamic and internal energy. Created by Sal Khan.

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Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of algebra and a basic understanding of trigonometry.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

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