Epsilon Delta Limit Definition (Part 1 & 2)

Introduction to the Epsilon Delta Definition of a Limit and using the epsilon delta definition to prove a limit.

http://www.khanacademy.org/video/epsilon-delta-limit-definition-1?playlist=Calculus

http://www.khanacademy.org/video/epsilon-delta-limit-definition-2?playlist=Calculus

Proof: lim (sin x)/x

Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1

http://www.khanacademy.org/video/proof--lim--sin-x--x?playlist=Calculus

Squeeze Theorem

http://www.khanacademy.org/video/squeeze-theorem?playlist=Calculus

Limit Examples (parts 1-4, and more)

http://www.khanacademy.org/video/limit-examples--part-1?playlist=Calculus

http://www.khanacademy.org/video/limit-examples--part-2?playlist=Calculus

http://www.khanacademy.org/video/limit-examples--part3?playlist=Calculus

http://www.khanacademy.org/video/limit-examples-w--brain-malfunction-on-first-prob--part-4?playlist=Calculus

More limit examples

Scale of Distance to Closest Stars

4.2 Light Years away

Voyager with the speed 60,000 km/hour (17km/s) will take 80000 years to get there

http://www.khanacademy.org/video/scale-of-distance-to-closest-stars?playlist=Cosmology+and+Astronomy

Solar "wind": electrons and protons (400km/s)

Black Holes

http://www.khanacademy.org/video/black-holes?playlist=Cosmology+and+Astronomy

white dwarf
neutron star
singularities (infinite mass density)
event horizon

Scale of Earth and Sun

http://www.khanacademy.org/video/scale-of-earth-and--sun?playlist=Cosmology+and+Astronomy

Speed of a bullet : 280 m/s (1000 km/hour, ~speed of jet) will take 40 hours to go around the earth
Sun 109x circumference of earth (half a year to go around the Sun)
AU - Astronomical Unit = 150,000,000 km away from the earth (take 17 years to get to the sun from the earth)

Scale of Solar System

http://www.khanacademy.org/video/scale-of-solar-system?playlist=Cosmology+and+Astronomy

Introduction to Limits (HD)

http://www.khanacademy.org/video/introduction-to-limits--hd?playlist=Calculus

Scale of Small

From honey bees to cells, virus, and atoms -- understanding the scale of the very small

http://www.khanacademy.org/video/scale-of-the-small?playlist=Cosmology+and+Astronomy

The Golden Ratio

An introduction to one of the most amazing ideas/numbers in mathematics


http://www.khanacademy.org/video/the-golden-ratio?playlist=New+and+Noteworthy


1.618033988...

Vitamin C and the Limeys

Sal and Dr. David Agus talk about the history of Scurvy (壞血病) and Vitamin C

http://www.khanacademy.org/video/vitamin-c-and-the-limeys?playlist=New+and+Noteworthy

Vitamin C exposed to the air and light becomes oxidized and has no nutritional value

Heart Disease and Heart Attacks

Basics of heart disease, heart attacks, heart failure (heart cannot provide all the needs of the body), angina, cardiac arres (heart stopping)

http://www.khanacademy.org/video/heart-disease-and-heart-attacks?playlist=New+and+Noteworthy

Systemic Thinking About Cancer

Dr. David Agus discusses thinking systemically about cancer and other

http://www.khanacademy.org/video/systemic-thinking-about-cancer?playlist=New+and+Noteworthy

From cancering to healthing

Elements and Atoms

How elements relate to atoms. The basics of how protons (define the element), electrons and neutrons

http://www.khanacademy.org/video/elements-and-atoms?playlist=New+and+Noteworthy

The number of Proton can't change (otherwise, you will have another element) but the number of Electron and Neutron can change in an element