A : Multivariable Calculus , First Quarter , Fall 2015

B : Multivariable Calculus , Second Quarter , Winter 2015

An Introduction to Multivariable Mathematics

The text is designed for use in a 40 lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in ...

Polynomial time reduction from 3SAT to solving low first fall degree multivariable cubic equations system

Recently, there are many researches [5] [3] [7] [4] that, under the first fall degree assumption, the complexity of ECDLP over Fpn where p is small prime and the extension degree n is input size, is subexponential. However, from the recent research, the first fall degree assumption seems to be doubtful. Koster [2] shows that the problem for deciding whether the value of Semaev’s formula Sm(x1, ...

SLIDING MODE CONTROL BASED ON FRACTIONAL ORDER CALCULUS FOR DC-DC CONVERTERS

The aim of this paper is to design a Fractional Order Sliding Mode Controllers (FOSMC)for a class of DC-DC converters such as boost and buck converters. Firstly, the control lawis designed with respect to the properties of fractional calculus, the design yields an equiv-alent control term with an addition of discontinuous (attractive) control law. Secondly, themathematical proof of the stabilit...

Control Problem and its Application in Management and Economic

The control problem and Dynamic programming is a powerful tool in economics and management. We review the dynamic programming problem from its beginning up to its present stages. A problem which was involved in physics and mathematics in I 7” century led to a branch of mathematics called calculus of variation which was used in economic, and management at the end of the first quarter of the 20” ...