Presentation for WCHS dual-enrollment students

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    Presentation for WCHS dual-enrollment students - Presentation Transcript

    1. Who am I, and why am I here? Robert Talbert, PhD WCHS student visit 24 September 2008
    2. What do I do here? • Associate Professor of Mathematics and Computing Science • Came to FC in 2001 • Director of 3:2 dual degree program in engineering with Purdue University (IUPUI) • Chair of Promotion and Tenure Committee • Working with Math/ Computing Club to create Pi Mu Epsilon chapter
    3. Bachelor’s degree in Master’s degree in Mathematics (1992) Mathematics (1994) (Started as psychology Ph.D. in Mathematics major) (1997)
    4. Mathematical background Topology: Study of properties that remain unchanged under continuous deformation ? ?
    5. Current interests Cryptology: Communication in the presence of an adversary = codemaking/breaking
    6. What cryptology involves ABSTRACT ALGEBRA Groups; rings; fields; polynomials over finite field; permutation groups NUMBER THEORY Prime numbers; factorization techniques; elliptic curves; discrete logarithms CRYPTOLOGY PROBABILITY Information theory; mathematical entropy; statistical attacks on ciphers COMPUTER SCIENCE Analysis of algorithms; computational complexity; writing efficient code for algorithms
    7. Math questions I’m interested in Are there efficient ways to break block ciphers, or strengthen them against breaking? How can elliptic curves be used to create strong and fast ciphers? How can we break such ciphers?
    8. What I teach • Quantitative Reasoning • Calculus Preparation • Calculus I, II • Methods of Problem Solving • Linear Algebra • Topics in Geometry • Modern Algebra • Occasional topics courses • Interdisciplinary courses
    9. Teaching stuff I am interested in • Web 2.0 technology in college math instruction: wikis, blogs, microblogging, social networks • Integrating computer programming throughout the math curriculum • Student-active teaching techniques • Dynamic geometry software, spreadsheets, computer algebra systems
    10. What my students are doing right now Calculus: Calculating derivatives using algebra, spreadsheets, and graphing software Problem Solving: Constructing proofs for mathematical conjectures using classical logic and argumentation Geometry: Using dynamic geometry software to discover and prove theorems about circles
    11. What my students have done in the past Online student solutions Wiki on cryptology during manual to prof’s course World War II notes in Modern Algebra
    12. Contact • Email: rtalbert@franklincollege.edu • IM: rtalbert235 (AOL) or robert.talbert (Google) • Twitter: RobertTalbert • Web page: http://www.roberttalbert.net • Blog: http://castingoutnines.wordpress.com • Presentations: http://www.slideshare.net/rtalbert (Includes this presentation)

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