logging in or signing up 106 2004 3 25 14 6 34 SAC Talk Slides Draft v2 Modest Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINTLite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 78 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: January 31, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: DavidWatts (26 month(s) ago) Excellent ppt. Would you be kind enough to send me a copy to my home email address davidwatts246@hotmail.co.uk Many Thanks David Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Math: Why it Matters: Math: Why it MattersSlide2: “What’s the use of all this?” Why Math?Slide3: Unique Team of Mathematicians, Physicians, and Public Health Specialists Established To Help Tackle Infectious Diseases, SARS Spiral Waves Break Hearts: New Research Stresses the Importance of Communication Between Cardiac Cells Mathematicians team up with Lockheed Martin to develop computer tracking systems Mathematicians solve problems for businesses Math in the NewsSlide4: Why Math? Mathematics is fundamentally entrenched in the world It is integral to many different disciplines Advanced math is becoming more relevant to today’s societyHigh School Topics: High School TopicsFractals: Fractals Fractals , - geometrical figures that are generated by starting with a very simple pattern that grows through the application of a set of rules Mandelbrot's fractal geometry provides a mathematical model for many complex forms found in nature such as shapes of coast lines, mountains, galaxy clusters, and clouds. Here, both the trees and the clouds are actual fractals:Digital Mobility: Digital MobilityFun & Games: Fun & Games 100111010101010001011111010101 11001001110101 Maths in Real Life: Maths in Real Life Fundamental notion in CS: Algorithm What is an Algorithm? Informally: a «recipe» for computing something Formally: a finite sequence of instructions for correctly solving a computational or mathematical problem in a finite amount of time Examples of algorithms: Numerical: Finding the GCD of two numbers Semi-numerical: Sorting a deck of cards Linguistic: Checking and correcting the grammar of a text Specialized: -Rendering a space ninja in a video game -Optimizing the price of a stock option Maths in Real Life: Maths in Real Life OK, so where’s the math? Algorithms are described in terms of mathematical and logical instructions Math helps you analyze (and hopefully improve!) the running time of your algorithms Where do we need fast algorithms? Graphics and Games E-Commerce Aerospace Energy… Undergraduate Topics: Undergraduate Topics Graduate School Research: Graduate School Research Exploring the fourth dimension The Hyperspace Structures: Filtering out the Noise: Filtering out the Noise Filtering Out the Noise: Filtering Out the NoiseOptimal Pricing: Optimal Pricing Question: Why did the person sitting next to you in an airplane pay a different price for her seat? Answer: Because airlines apply methodologies known as Revenue Management and Pricing Optimization Optimal Pricing: Optimal Pricing The problem: “Selling the right product to the right customer at the right price and the right moment” Used in industries with: Limited capacity Perishable inventory High fixed costs and low marginal costs That includes: airlines, telecoms, rail, car rental, hotels, etc Optimal Pricing: Optimal Pricing Sub-problems and research areas: Demand estimation (statistics) Customer behaviour modelling (econometrics) Capacity management (operations research) Price and revenue optimization (operations research) Research perspectives Still an open field, no definitive solution yet Lots of interest from the industry (funding!) Profiles: ProfilesPaul Gauthier: Paul Gauthier Paul Gauthier 2002: Rank: 31 in 40 under 40 richest people (Fortune Magazine) 2001: Rank: 19 1999: Rank: 21 Wealth: $132 million (2002) Age: 31 Birthplace: Halifax, Canada Education: B.S. Dallhousie University (Computer science) Creator of the Internet search engine The head and co-founder of one of the world's most dynamic software firms - The Inktomi, the products of which are search engine and network caching systems Student Stories: Student Stories = MathAlejandro Garcia: Alejandro Garcia Research Assistant, Bank of Canada, Monetary and Financial Modeling Division. Job Description: Conduct research on the financial sector and to assist with development of monetary policy and financial stability. Specifically, gather economic data and create models and conduct econometric analysis. Education: Undergraduate Economics (Universidad de los Andes) and Applied Quantitative Information Technology Program (Western). Master of Economics (Carleton University)Slide22: Favourite thing about my job: “The learning environment and the emphasis on research.” Most Important educational skills: “Economic intuition, from my degree in Economics. Computations skills to help me program models, linear algebra for econometric analysis and calculus to help me understand the solution techniques that are used in the types of models that my group works with.” Alejandro GarciaHow do I further my education?: How do I further my education? While you’re an undergrad: Workshops Seminars Research collaborations (Summer internships) Graduate StudiesWhat can I do after?: What can I do after? Many Future Options: Teaching Pure Research Applied Research Implementation (taking applied research and getting it to work in real situations) Mathematicians are everywhere!What sort of support is out there?: What sort of support is out there? MITACS: www.mitacs.ca PIMS: www.pims.math.ca CRM: www.crm.umontreal.ca Fields Institute: www.fields.utoronto.ca Your local career services office Your math departmentQuestions?: Questions? Merci Beaucoup pour ton temps! You do not have the permission to view this presentation. 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106 2004 3 25 14 6 34 SAC Talk Slides Draft v2 Modest Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINTLite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 78 Category: Education License: All Rights Reserved Like it (0) Dislike it (0) Added: January 31, 2008 This Presentation is Public Favorites: 0 Presentation Description No description available. Comments Posting comment... By: DavidWatts (26 month(s) ago) Excellent ppt. Would you be kind enough to send me a copy to my home email address davidwatts246@hotmail.co.uk Many Thanks David Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript Math: Why it Matters: Math: Why it MattersSlide2: “What’s the use of all this?” Why Math?Slide3: Unique Team of Mathematicians, Physicians, and Public Health Specialists Established To Help Tackle Infectious Diseases, SARS Spiral Waves Break Hearts: New Research Stresses the Importance of Communication Between Cardiac Cells Mathematicians team up with Lockheed Martin to develop computer tracking systems Mathematicians solve problems for businesses Math in the NewsSlide4: Why Math? Mathematics is fundamentally entrenched in the world It is integral to many different disciplines Advanced math is becoming more relevant to today’s societyHigh School Topics: High School TopicsFractals: Fractals Fractals , - geometrical figures that are generated by starting with a very simple pattern that grows through the application of a set of rules Mandelbrot's fractal geometry provides a mathematical model for many complex forms found in nature such as shapes of coast lines, mountains, galaxy clusters, and clouds. Here, both the trees and the clouds are actual fractals:Digital Mobility: Digital MobilityFun & Games: Fun & Games 100111010101010001011111010101 11001001110101 Maths in Real Life: Maths in Real Life Fundamental notion in CS: Algorithm What is an Algorithm? Informally: a «recipe» for computing something Formally: a finite sequence of instructions for correctly solving a computational or mathematical problem in a finite amount of time Examples of algorithms: Numerical: Finding the GCD of two numbers Semi-numerical: Sorting a deck of cards Linguistic: Checking and correcting the grammar of a text Specialized: -Rendering a space ninja in a video game -Optimizing the price of a stock option Maths in Real Life: Maths in Real Life OK, so where’s the math? Algorithms are described in terms of mathematical and logical instructions Math helps you analyze (and hopefully improve!) the running time of your algorithms Where do we need fast algorithms? Graphics and Games E-Commerce Aerospace Energy… Undergraduate Topics: Undergraduate Topics Graduate School Research: Graduate School Research Exploring the fourth dimension The Hyperspace Structures: Filtering out the Noise: Filtering out the Noise Filtering Out the Noise: Filtering Out the NoiseOptimal Pricing: Optimal Pricing Question: Why did the person sitting next to you in an airplane pay a different price for her seat? Answer: Because airlines apply methodologies known as Revenue Management and Pricing Optimization Optimal Pricing: Optimal Pricing The problem: “Selling the right product to the right customer at the right price and the right moment” Used in industries with: Limited capacity Perishable inventory High fixed costs and low marginal costs That includes: airlines, telecoms, rail, car rental, hotels, etc Optimal Pricing: Optimal Pricing Sub-problems and research areas: Demand estimation (statistics) Customer behaviour modelling (econometrics) Capacity management (operations research) Price and revenue optimization (operations research) Research perspectives Still an open field, no definitive solution yet Lots of interest from the industry (funding!) Profiles: ProfilesPaul Gauthier: Paul Gauthier Paul Gauthier 2002: Rank: 31 in 40 under 40 richest people (Fortune Magazine) 2001: Rank: 19 1999: Rank: 21 Wealth: $132 million (2002) Age: 31 Birthplace: Halifax, Canada Education: B.S. Dallhousie University (Computer science) Creator of the Internet search engine The head and co-founder of one of the world's most dynamic software firms - The Inktomi, the products of which are search engine and network caching systems Student Stories: Student Stories = MathAlejandro Garcia: Alejandro Garcia Research Assistant, Bank of Canada, Monetary and Financial Modeling Division. Job Description: Conduct research on the financial sector and to assist with development of monetary policy and financial stability. Specifically, gather economic data and create models and conduct econometric analysis. Education: Undergraduate Economics (Universidad de los Andes) and Applied Quantitative Information Technology Program (Western). Master of Economics (Carleton University)Slide22: Favourite thing about my job: “The learning environment and the emphasis on research.” Most Important educational skills: “Economic intuition, from my degree in Economics. Computations skills to help me program models, linear algebra for econometric analysis and calculus to help me understand the solution techniques that are used in the types of models that my group works with.” Alejandro GarciaHow do I further my education?: How do I further my education? While you’re an undergrad: Workshops Seminars Research collaborations (Summer internships) Graduate StudiesWhat can I do after?: What can I do after? Many Future Options: Teaching Pure Research Applied Research Implementation (taking applied research and getting it to work in real situations) Mathematicians are everywhere!What sort of support is out there?: What sort of support is out there? MITACS: www.mitacs.ca PIMS: www.pims.math.ca CRM: www.crm.umontreal.ca Fields Institute: www.fields.utoronto.ca Your local career services office Your math departmentQuestions?: Questions? Merci Beaucoup pour ton temps!