41 Employment in Mathematical Sciences

Employment in Mathematical Sciences • Education: Secondary and Elementary Schools, Colleges and Universities • Research Labs: Government, Industry • Development in Business and Industry (computer, communications, finance, defense, environmental, aerospace, engineering, film, biomedical, ) Resources • Canadian Math Society(www.cms.math.ca) Education: www.cms.math.ca/Education • American Math Society(www.ams.org) Employment: www.ams.org/employment • Society for Industrial and Applied Mathematics • American Statistical Association • Association for Computing Machinery  UBC (www.math.ubc.ca) -Math Workshops: www.math.ubc.ca/Schools/Workshop/index.shtml  PIMS (www.pims.math.ca): Designing Antennas • Goldstone tracking station – tracks deep space missions • Design required simulation of wind and heat loads Disk Drive Technology • • • • • computers music (CD, iPod) video (DVD, PSP) digital camera pda (palm) This IBM Disk Drive was made in 1956 Capacity: 5MB Size: 50 24inch disks Weight: 500 lbs In 1998, IBM introduced the Microdrive Size: 1.1 inch diameter disk Capacity: 170MB (1998) GB (2005) Mathematics used in data recording • Sampling Theory: How to represent a continuous wave as a sequence of and bits • Trigonometry and Calculus: How to focus the laser on circular tracks and adjust the speed of the rotating disk • Algebra: How to correct errors: dust, scratches, imperfections in disk surface, electronics noise Data storage in the future Public key cryptography  Each agent has two keys:  Private key which he/she keeps secret  Public key which everyone knows  Agent A encrypts a message by using Agent B’s public key  Agent B decrypts the message using his private key What makes this work?  There is a mathematical relation between the public and private keys, which involves two large prime factors of a large number  It is nearly impossible to derive the private key from the public key  In order to “break the code,” you must factor a large number ... 500 lbs In 1998, IBM introduced the Microdrive Size: 1.1 inch diameter disk Capacity: 170MB (1998) GB (2005) Mathematics used in data recording • Sampling Theory: How to represent a continuous... Society(www.ams.org) Employment: www.ams.org /employment • Society for Industrial and Applied Mathematics • American Statistical Association • Association for Computing Machinery  UBC (www.math.ubc.ca)... www.math.ubc.ca/Schools/Workshop/index.shtml  PIMS (www.pims.math.ca): Data Transmission     Noise Input Message Noisy Output CHANNEL Designing Antennas • Goldstone tracking station – tracks deep