The counterexamples presented here are the first of this kind for notions of differentiability that satisfy a chain rule. Their context arises naturally from requiring differentiability of crucial ...

We construct counterexamples to classical calculus facts such as the inverse and implicit function theorems in scale calculus-a generalization of multivariable calculus to infinite-dimensional vector ...

Abstract: We construct a domain-theoretic calculus for Lipschitz and differentiate functions, which includes addition, subtraction and composition. We then develop a domain-theoretic version of the ...

Abstract: This paper is concerned with obtaining the inverse of polynomial functions using semidefinite programming (SDP). Given a polynomial function and a nominal point at which the Jacobian of the ...

***This is a course guideline. Students should contact instructor for the updated information on current course syllabus, textbooks, and course content*** Prerequisites: MATH 2318 and MATH 3333 (or ...

Introductory analytic geometry and calculus. Topics include limits, continuity, differential calculus of algebraic and trigonometric functions with applications to curve sketching, optimization ...

Maths Inverse Trigonometric Functions Formulas: Calculus is one of the most important topics in mathematics. The CBSE Class 11 and 12 introduce students to many advanced concepts in calculus. Nearly ...