clojure calculus computer-algebra clojurescript physics automatic-differentiation mathematics differential-geometry physics-simulation hamiltonian symbolic-math explorable-explanations sussman lagrangian-mechanics Updated Oct 29, 2024 Clojure DenverCoder1 / latex-gboard-dictionary Sponsor Star 409 Code Issues Pul...
that meets at a point on the curve or which gives derivative at the point where tangent meets the curve. differentiation has many applications in various fields. checking the rate of change in temperature of the atmosphere or deriving physics equations based on measurement and units, etc, are ...
i.e. g(x). also, it is possible that the upper and the lower functions can be different based on the different regions on the graph. in such cases, we need to calculate the area for the individual region. formula for area between two curves, integrating on the y-axis is given as:...
Applications Economics, Finance, Easier Physics, Economics, Rates, Challenging, Mean Value Theorem Introduction to Differential Equations No Yes Derivatives and Integrals of Parametric Curves/Functions No Yes Displacement, Velocity, Acceleration Minimal Yes Integration Basic Integration Rules, Basic Fundamental...
Since this concept was raised to deal with physics and engineering problems, it's mostly focused on 2d surfaces in 3d spaces. The derivation process of the formula for surface integral might take a bit time to understand, but the intuition is easy, actually. Look at the cross product in ...
An essential course for physics, engineering, and computer science students. Calculus-Based Probability Required course for advanced economics, finance, bio-statistics, and other math-heavy graduate degrees. One indicator of how fast a student can complete Calculus II is the grade earned in Calcul...
as shown in the figure given below. based on the above discussion, we can define the following: the differential of x which is represented as dx is given by dx = ∆x. differential of y which is represented as dy is given by dy = f’(x)dx = (dy/dx) ∆x. if in case the ...
Thus, the difference quotient can be interpreted as instantaneous velocity or as the slope of a tangent to a curve. It was the calculus that established this deep connection between geometry and physics—in the process transforming physics and giving a newimpetusto the study of geometry. ...
Thus, the difference quotient can be interpreted as instantaneous velocity or as the slope of a tangent to a curve. It was the calculus that established this deep connection between geometry and physics—in the process transforming physics and giving a newimpetusto the study of geometry. ...
John Machin was an English mathematician, notable for studies in finding the area of a circle. In 1706, he was the first to compute the value of the constant π to 100 decimal places. Machin’s formula for π was adapted by others, including Euler, to ex