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  1. Dictionary
    dif·fer·en·tial cal·cu·lus
    /ˌdifəˈren(t)SHəl ˈkalkyələs/

    noun

    • 1. a branch of mathematics concerned with the determination, properties, and application of derivatives and differentials.
  2. 20 hours ago · Multivariable calculus is a fundamental mathematical tool in the arsenal of a machine learning practitioner. It extends the concepts of single-variable calculus to higher dimensions, allowing for the analysis and optimization of functions involving multiple variables. In the context of machine learning, these tools are essential for ...

  3. 5 days ago · In Section 2, the foundational concepts of fractional calculus, particularly the Riemann–Liouville definitions, are introduced for both the fractional integral and fractional derivative. In Section 3 , we apply fractional calculus techniques to derive new closed-form expressions for these Apéry-like series ( 2 )–( 4 ) and also consider the convergence and divergence domains.

  4. 3 days ago · In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a process that finds the integral of a product of functions in terms of the integral of the product of their derivative and antiderivative.

  5. 4 days ago · In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold can be described by a collection of charts ( atlas ). One may then apply ideas from calculus while working within the individual charts, since each chart lies ...

  6. 4 days ago · Apply differential calculus to sketch curves and to identify local and global extrema, inflection points, increasing/decreasing behavior, concavity, behavior at infinity, horizontal and vertical tangents and asymptotes, and slant asymptotes.

  7. 20 hours ago · In this paper we present the homogenization for nonlinear viscoelastic second-grade non-simple perforated materials at large strain in the quasistatic setting. The reference domain $$\\Omega _{\\varepsilon }$$ Ω ε is periodically perforated and is depending on the scaling parameter $$\\varepsilon $$ ε which describes the ratio between the size of the whole domain and the small periodic ...

  8. 5 days ago · MATH 1230 - Differential Calculus. (Lab required) The course is intended for students in mathematically rich disciplines including those planning to enter an Honours or Major program in Mathematics or Statistics.