This is an extensive introduction to quantitative approaches to decision making, including statistical decision theory. It has been produced by Hossein Arsham of the University of Baltimore.
Online Text and Notes in Mathematical Economics
This 116-page textbook was adapted from a series of handouts used in a graduate-level course in mathematics for economists. Downloadable as a PDF file, it has four chapters (Linear algebra, Calculus, Constrained Optimization and Dynamics) plus 14 pages of exercises. Economics applications are given throughout the text. The book is dated 1999.
This is a refresher PDF document summarising differentiation (including maxima and minima, partial differentiation and the Lagrangean multiplier) and integration with examples from economics. There are eight pages of content apart from the title page and an appendix summarising differentials and integrals of common functions.
A course support webpage for a Optimization Techniques for Economists as taught by Dieter Balkenborg of the University of Exeter in 2008. It contains lecture notes, classroom exercises, homework exercises, solutions and other supporting documents for the course
These are materials from a course intending to give students a grounding in the basic quantitative methods of economic analysis with application to commonly used formal models in microeconomics, macroeconomics, or econometrics. Maximisation, probability, utility and game theory are among the topics. They are presented as a series of PDF files including lecture notes, exam papers, homework assignments and midterm papers.
Archived from Autumn 2004, this course web page includes 13 short class handouts, five problem sets with answers, and article links to JSTOR. It supports a course on introductory mathematical economics, as taught by David S. Ahn of University of California, Berkeley. This link is to Archive.org's copy of the page.
Mathematics for economists is a course webpage produced by Dieter Balkenborg of the University of Exeter, the 2008 version of the course was taught by Juliette Stephenson. The material includes lecture slides, class exercises and solutions, homework tasks, and exam papers, usually made available as PDF files. Also includes links to previous versions of the course stretching back to 2001.
A full and detailed set of lecture notes from this Winter 2003 course are archived on this course site. The site is no longer available on the original server, so this link is to the Internet Archive's copy.
Bayesian statistics and its application to econometrics - lecture slides and notes. The Powerpoint presentation comprises nearly 100 slides.
This link takes you directly to a six-page PDF file with colour graphs, explaining the maths of Engle curves, Giffen goods, income and substitution effects and related theory, by Daniel L. McFadden of University of California, Berkeley