MATHSCINET - Current Mathematics Publications data is updated daily; Mathematical reviews data is updated monthly.

Web of Knowledge - includes Science and Social Sciences Citation indexes.

AMS Special Subject Preprint Servers
arXiv.org Pre-print Archive
mp-arc - Mathematical Physics preprint archive

Dissertation Abstracts-  Ph. D. dissertations and selected masters theses accepted in the US
Dissertations Full-Text - University of Mississippi dissertations online, 1997-

EBSCOhost- Provides full-text access to general magazines and scholarly literature.
 

Grant Information
Selected sources.

Grants.gov - government-wide source for information about more than 800 grant programs across all 26 federal grant-making agencies.
National Science Foundation -  
COS Funding Opportunities -From Community of Science. A searchable database including research grants across many disciplines. 
UM Office of Research - 

Graduate School Information

Peterson's Guide to Programs - 
Graduate Record Exams - (GRE) 
Science (AAAS) - Academic connections. 

Employment Resources

AAAS: Science Careers- from Science magazine. 
Chronicle of Higher Education Career Network - job listings in academia 
Careers in Mathematics - job listings from AMS
Math-jobs.com - jobs in math worldwide
Occupational Outlook Handbook : Mathematicians - career information