I wrote this text for a one semester course at the sophomore-junior level. Our experience
with students taking our junior physics courses is that even if they’ve had the mathematical
prerequisites, they usually need more experience using the mathematics to handle it efficiently
and to possess usable intuition about the processes involved. If you’ve seen infinite series in a
calculus course, you may have no idea that they’re good for anything.
CalculusPublisher: Wikibooks 2011Number of pages: 456Description:This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus.......
This work gives an overview of core topics in the “investment” side of finance, stressing
the quantitative aspects of the subject. The presentation is at a moderately sophisticated
level that would be appropriate for masters or early doctoral students in
economics, engineering, finance, and mathematics. It would also be suitable for advanced
and well motivated undergraduates-provided they are adequately prepared
in math, probability, and statistics.
This book is intended to serve as the textbook for a rst-year graduate course in econometrics.
It can be used as a stand-alone text, or be used as a supplement to another text.
Students are assumed to have an understanding of multivariate calculus, probability theory,
linear algebra, and mathematical statistics. A prior course in undergraduate econometrics would
be helpful, but not required.
For reference, some of the basic tools of matrix algebra, probability, and statistics are reviewed
in the Appendix....
Calculus teachers recognize Calculus as the leading resource among the reform projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The book continues the effort to promote courses in which understanding and computation reinforce each other.
In this Chapter, we quickly review some basic definitions and concepts from thermodynamics. We
then provide a brief description of the first and second laws of thermodynamics. Next, we discuss the
mathematical consequences of these laws and cover some relevant theorems in multivariate calculus.
Finally, free energies and their importance are introduced.
(BQ) The book uses all strands of the 'Rule of Four' - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.