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Hello there, Im mr Gordon Dempsey, you Calculus teacher. Im a phd in CS and we willbe together for the whole semester.
Please kindly send your names and where you are from to this email, I wanna know every single one of you.
For the week you can start reading the first three chaoters of this Book right here, and I promisse you gonna love calculus.
So, lets go to our very first topic here at Calculus 1, remember, since this is an international class we use GMT time to keep track of what everybody is doing. lest get started
Topic 1
assignment 1
assignment due: Jan/9/2022
Johannes Kepler's work Stereometrica Doliorum formed the basis of integral calculus.[15] Kepler developed a method "sum of the radii" for calculating the area of an ellipse.[16]A significant work was a treatise, the origin being Kepler's methods,[16] written by Bonaventura Cavalieri, who argued that volumes and areas should be computed as the sums of the volumes and areas of infinitesimally thin cross-sections. The ideas were similar to Archimedes' in The Method, but this treatise is believed to have been lost in the 13th century, and was only rediscovered in the early 20th century, and so would have been unknown to Cavalieri. Cavalieri's work was not well respected since his methods could lead to erroneous results, and the infinitesimal quantities he introduced were disreputable at first.The formal study of calculus brought together Cavalieri's infinitesimals with the calculus of finite differences developed in Europe at around the same time. Pierre de Fermat, claiming that he borrowed from Diophantus, introduced the concept of adequality, which represented equality up to an infinitesimal error term.[17]
Topic 2
assignment 2
assignment due: Jan/15/2022 at 3:00 pm
Combination was achieved by John Wallis, Isaac Barrow, and James Gregory, the latter two proving the second fundamental theorem of calculus around 1670.Isaac Newton developed the use of calculus in his laws of motion and gravitation.The product rule and chain rule,[18] the notions of higher derivatives and Taylor series,[19] and of analytic functions[citation needed] were used by Isaac Newton in an idiosyncratic notation which he applied to solve problems of mathematical physics.
Topic 3
assignment 3
assignment due: Jan/12/2022 at 4:00 pm
In his works, Newton rephrased his ideas to suit the mathematical idiom of the time, replacing calculations with infinitesimals by equivalent geometrical arguments which were considered beyond reproach.
Topic 4
assignment 4
assignment due: Jan/29/2022
He used the methods of calculus to solve the problem of planetary motion, the shape of the surface of a rotating fluid, the oblateness of the earth, the motion of a weight sliding on a cycloid, and many other problems discussed in his Principia Mathematica (1687). In other work, he developed series expansions for functions, including fractional and irrational powers, and it was clear that he understood the principles of the Taylor series. He did not publish all these discoveries, and at this time infinitesimal methods were still considered disreputable.
Topic 5
assignment 5
assignment due: feb/3/2022 at 11:00 pm
Topic 6
assignment 6
assignment due:feb/17/2022 at 8:00 pm
Topic 7
assignment 7
assignment due: feb/22/2022 at 8:00 am
Based on the Domain: Algebraic Functions; Tri...
Based on Elements: One-One Function; Many-...
Based on the Range: Modulus Function; Ratio...
Based on the Equation: Identity Function
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