CALCULUS
THE ORIGINAL MEANING OF CALCULUS WAS A PEBBLE USED IN CALCULATIONS. SO DON'T QUIT JUST YET.
HISTORY OF CALCULUS PDF FROM HARVARD U..
THE GHOSTS OF DEPARTED QUANTITIES: TANGENTS AND AREAS COME TOGETHER IN 17th CENTURY MATHEMATICS
BALK AT CALCULUS? TRY THIS LECTURE.
GEORGE BERKELEY-- THE ANALYST
WEEK ONE: THE ROOTS OF INTEGRATION AND ARCHIMEDES OF SIRACUSA
THE METHOD OF ARCHIMEDES, FROM EUDOXUS: REDUCTIO AD ABSURDUM
Democritus, Eudoxus, Euclid, Archimedes, Eratosthenes
WEEK TWO: THE ROOTS OF DIFFERENTIATION--TANGENTS AND APPOLONIUS
WEEK THREE: TEUTONS AND ARABS
WEEK FOUR: LUCA VALERIO
WEEK FIVE: KEPLER'S WINE BARREL EQUATION
AN EXPLANATION OF KEPLER'S WINE BARREL STUDY
WINE CASK EQUATION
WEEK SIX: CAVALIERI: THE INDIVISIBLES
WEEK SEVEN: THE PRINTING PRESS--THE GREEKS HIT THE FAN! AND EDMUND HALEY'S COMETS
WEEK EIGHT: NEWTON AND LIEBNIZ
LIEBNIZ METAPHYSICS
WEEK NINE: THE PROBLEM OF THE CURVE OF QUICKEST DESCENT, AKA BERNOULLI'S CHALLENGE
This may just change the way you look at differentials forever.
TAKE HOME MIDTERM