Essentials of Engineering Mathematics

The Essentials of , and for , Mathematics

The first qualification for judging a piece of workmanship from a corkscrew to a cathedral is to know what it is – what it was intended to do and how it is meant to be used. C.S. Lewis, [7]. How do we approach the teaching of mathematics in high schools?, How do we approach reviewing the present curriculum? In this paper we attempt to give a framework for answering these questions. We describe ...

Essentials of Applied Mathematics for Scientists and Engineers

Mathematics of Engineering Systems

Instructor: Serdar Yüksel, Jeffrey Hall 415, Phone: 533–2429, E-mail: [email protected] Marker and TA: TBA Office Hour: Thursdays 13:30-14:20 Supplemental Text: Supplemental Notes will be posted on the course web site References: Modern Signals and Systems, by H. Kwakernaak and R. Sivan, Fourier Analysis and Applications, by C. Gasquet and P. Witomski, Applied Analysis, by J. K. Hunter and...

Engineering, Computing and Mathematics

s of Postgraduate Dissertations ................................................................................ 19 Abstracts of Final Year Project Dissertations .......................................................................... 22 s of Final Year Project Dissertations .......................................................................... 22 

Reverse-engineering Reverse Mathematics

An important open problem in Reverse Mathematics ([16, 25]) is the reduction of the first-order strength of the base theory from IΣ1 to I∆0 + exp. The system ERNA, a version of Nonstandard Analysis based on the system I∆0 + exp, provides a partial solution to this problem. Indeed, Weak König’s lemma and many of its equivalent formulations from Reverse Mathematics can be ‘pushed down’ into ERNA,...