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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, . . .).

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Employment in Mathematical Sciences

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  1. 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, . . .)

  2. 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): Resources

  3. Data Transmission Noise Input Message Noisy Output CHANNEL

  4. Designing Antennas • Goldstone tracking station – tracks deep space missions. • Design required simulation of wind and heat loads.

  5. Disk Drive Technology • computers • music (CD, iPod) • video (DVD, PSP) • digital camera • pda (palm)

  6. This IBM Disk Drive was made in 1956. Capacity: 5MB Size: 50 24inch disks Weight: 500 lbs

  7. In 1998, IBM introduced the Microdrive. Size: 1.1 inch diameter disk Capacity: 170MB (1998) 6 GB (2005)

  8. Mathematics used in data recording • Sampling Theory: How to represent a continuous wave as a sequence of 0 and 1 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

  9. Data storage in the future

  10. 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.

  11. 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.

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