Mathematical Sciences D/MATH ELECTIVES PROGRAM OVERVIEW LTC Doug McInvale Electives Program Director 11 July 2012 Mathematical Sciences DMATH Cadets, Classes 2001-2012 40 35 30 25 Math Major 20 OR Major 15 App Stats 10 Total 5 0 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 Class Mathematical Sciences Electives Program is Nested With Institutional Priorities Academic Program Goal Graduates anticipate and respond effectively to the uncertainties of a changing technological, social, political, and economic world. Mathematics and Science Goal Graduates are scientifically literate and capable of applying scientific, mathematical, and computational modes of thought to the solution of complex problems. Mathematical Sciences Student Outcomes-- Mathematics Major 1. Demonstrate competence in modeling physical, informational, and social phenomena by Identifying and articulating assumptions, metrics and constraints Applying appropriate solutions techniques Interpreting results within the appropriate context 2. Argue and inquire soundly and rigorously; become independent questioners and learners 3. Achieve mathematical proficiency in breadth and depth Understand and apply theorems and algorithms Understand and apply analytical methods Understand and apply numerical methods Understand and apply graphical methods Understand discrete and continuous structures and processes 4. Communicate mathematics, both orally and in writing 5. Use technology to model, visualize, and solve complex problems 6. Develop attitudes – habits of mind Creative and curious Experimental disposition Critical thinking and reasoning Commitment to life-long learning 7. Understand the role of mathematics (in our world) by analyzing applied problems through disciplinary, multidisciplinary, and interdisciplinary approaches. Mathematical Sciences Student Outcomes– Operations Research Major 1. Demonstrate competence in modeling processes and systems by Identifying and articulating assumptions, metrics and constraints Applying appropriate solutions techniques Interpreting results within the appropriate context 2. Argue and inquire soundly and rigorously; become independent questioners and learners 3. Achieve proficiency in operations research – in breadth and depth Understand and apply probabilistic and statistical models and methods Understand and apply simulation methods Understand and apply optimization methods 4. Communicate effectively - orally and in writing 5. Use technology to model, visualize and solve complex problems 6. Develop attitudes – habits of mind Creative and curious Experimental disposition Critical thinking and reasoning Commitment to life-long learning 7. Understand the role of mathematics (in our world) by analyzing applied problems through disciplinary, multidisciplinary, and interdisciplinary approaches. Mathematical Sciences Programs of Study in D/Math Mathematics Operations Research Applied Statistics Math Studies Major OR Studies Major Applied Stats Minor Math Sciences Major OR Major - Math Sciences Major (H) OR Major (H) - A Few Observations from My Foxhole… “Math, OR and Applied Stats are among the most exciting and useful academic programs at West Point.” “We compete and compare favorably with other programs of national prominence.” “D/Math cadets are consistently among the top tier in the Corps.” “Our cadets are exposed to a broad spectrum of contemporary topic areas.” “D/Math faculty among the most popular with cadets at USMA.” Mathematical Sciences Curriculum Overview 26 Common Core Courses that all cadets take + Studies Sciences Honors Mathematics Major 11 Major Courses 3 ENG Sequence 13 Major Courses 3 ENG Sequence 14 Major Courses 3 ENG Sequence Operations Research Major 14 Major Courses 16 Major Courses 17 Major Courses ENG Sequence Included ENG Sequence Included ENG Sequence Included Applied Stats Minor 5 Additional Courses to a Major of Choice MA371 LINEAR ALGEBRA MA372 INTRODUCTN TO DISCRETE MATH MA376 APPLIED STATISTICS MA381 NONLINEAR OPTIMIZATION MA383 FOUNDATIONS OF MATH MA385 CHAOS AND FRACTALS MA386 INTRO TO NUMERICAL ANALYSIS MA387 MATHEMATICAL ANALYSIS I MA391 MATHEMATICAL MODELING COURSE Title PROGRAM DIRECTOR: Wilmer MA396 NUM METH LTC SOLUTIONS DIFF EQNS COURSE Title Course Senior Advisor/Proponent MA461 GRAPH THEORY AND NETWORKS MA363 VECTOR CALCULUS AND ODE LTC Wilmer MA363 VECTOR CALCULUS AND ODE MA462 COMBINATORICS MA364 ENGINEERING MATHEMATICS LTC Jaye MA364 ENGINEERING MATHEMATICS MA464 APPLIED ALGEBRA W/ CRYPTOLOGY MA366 VECTOR CALCULUS & INTRO PDES LTC Jaye MA366 VECTOR CALCULUS MA466 ABSTRACT ALGEBRA& INTRO PDES MA371 LINEAR ALGEBRA COL Phillips MA371 LINEAR ALGEBRA MA476 MATHEMATICAL STATISTICS MA372 INTRODUCTN TO DISCRETE MATH COL Horton MA372 INTRODUCTN TO DISCRETE MATH MA481 LINEAR OPTIMIZATION MA376 APPLIED STATISTICS COL Glen MA376 APPLIED DIFF STATISTICS MA484 PARTIAL EQUATIONS MA381 NONLINEAR OPTIMIZATION COL Horton MA381 NONLINEAR OPTIMIZATION MA485 APPLIED COMPLEX VARIABLES MA383 FOUNDATIONS OF MATH COL Phillips MA383 FOUNDATIONS OF MATH MA487 MATHEMATICAL ANALYSIS II MA385 CHAOS AND FRACTALS COL Phillips MA385 CHAOS AND FRACTALS MA488 SPECIAL TOPICS IN MATHEMATICS MA386 INTRO TO NUMERICAL ANALYSIS Prof Wattenberg MA386 INTRO TO NUMERICAL ANALYSIS MA489 ADV INDIV STUDY IN MATH MA387 MATHEMATICAL ANALYSIS I Prof Rickey MA387 MATHEMATICAL MA490 APP PROB FROMANALYSIS MATH, SCII & ENGR MA391 MATHEMATICAL MODELING Prof Winkel MA391 MATHEMATICAL MODELINGMATH MA491 RESEARCH SEMNR-APPLD MA396 NUM METH SOLUTIONS DIFF EQNS Prof Wattenberg Topics MA396 NUM METH SOLUTIONS DIFF EQNS MA493 Courses MA461 GRAPH THEORY AND NETWORKS COL Horton MA461 GRAPH THEORY AND NETWORKS MA498 SR THESIS I: RSCRCH & PROPOSAL MA462 SABERMETRICS COMBINATORICS Horton *MA388 (new to the Redbook this year) COL MA462 COMBINATORICS MA499 SR THESIS II: PAPER & DEFENSE MA464 APPLIED ALGEBRA W/ CRYPTOLOGY Prof Winkel MA464 APPLIED ALGEBRA W/ CRYPTOLOGY Redbook:ABSTRACT http://www.dean.usma.edu/sebpublic/curriccat/static/index.htm MA466 ALGEBRA Prof Winkel MA466 ABSTRACT ALGEBRA MA476 MATHEMATICAL STATISTICS COL Glen DAC Website: http://www.math.usma.edu/people/counsel/ MA476 MATHEMATICAL STATISTICS MA481 LINEAR OPTIMIZATION COL Horton MA481 LINEAR OPTIMIZATION Course Pages: http://www.dean.usma.edu/departments/math/courses/elective/default.htm MA484 PARTIAL DIFF EQUATIONS LTC Jaye MA484 PARTIAL DIFF EQUATIONS MA485 APPLIED COMPLEX VARIABLES COL Jaye MA485 APPLIED COMPLEX VARIABLES MA487 MATHEMATICAL ANALYSIS II Prof Rickey MA487 MATHEMATICAL ANALYSIS II MA488 SPECIAL TOPICS IN MATHEMATICS COL Phillips (approves topic) MA488 SPECIAL TOPICS IN MATHEMATICS MA489 ADV INDIV STUDY IN MATH COL Phillips (approves topic) MA489 ADV INDIV STUDY IN MATH MA490 APP PROB FROM MATH, SCI & ENGR Dr. Wattenberg MA490 APP PROB FROM MATH, SCI & ENGR MA491 RESEARCH SEMNR-APPLD MATH LTC McCrea MA491 RESEARCH SEMNR-APPLD MATH Mathematical Sciences Electives Courses COL Ph COL Ho COL Gle COL Ho COL Ph COL Ph Prof Wa Prof Ric Prof Win ProfPRO Wa C COL Ho LTC Wil COL Ho LTC Jay Prof Win LTC Win Jay Prof Ph COL Gle COL Ho COL Jay Gle LTC Ho COL Jay COL Ph Prof Ric COL Ph Prof Wa COL Ph ProfWatt Ric Dr. Prof Win LTC Mc Prof Wa LTC Wil COL Mc Ho LTC COL Mc Ho LTC Prof Win Prof Win COL Gle COL Ho LTC Jay COL Jay Prof Ric COL Ph COL Ph Dr. Watt LTC Mc Mathematical Sciences A Sample Path a Math Major May Take Class of 2014 Fourth Class Third Class 1st Term 2nd Term 1st Term MA103 MA104 MA205 CH101 CH102 PH201 PL100 IT105 HI10x EN101 2nd Term MA363 Vector Calc, ODEs Second Class First Class 1st Term 2nd Term 1st Term 2nd Term Eng Seq 1 Eng Seq 2 Eng Seq 3 LW403 MA371 Lin Alg MA386 Numerical Analysis EN302 HI301 HI302 PY201 PH202 MA383 Foundations MA387 Analysis I MA466* Algebra MA491 Research HI10y SS201 EV203 MA206** MA376/476 Stats Math Elective 1 Math Elective 2 EN102 Lx201 SS202 SS307 IT305 MA391 Modeling MA490 Integ. Exp. Lx202 PL300 We emphasize student choice where it makes sense. Mathematical Sciences Applied Statistics Minor Choose 1 of 1 MA 476 Mathematical Statistics Choose 1 of 2 MA 376 SE 375 Applied Statistics Statistics For Engineers Choose 3 of 12 KN 494 MA 371 MA 488 PH 361 PH 481 PL 386 PL 492 PL 497 SE 388 SE 481 SS 368 SS 469 Research Methods/Data Analysis Linear Algebra Special Topics In Mathematics Experimental Physics Statistical Physics Experimental Psychology Seminar In Behavioral Science – Network Science Seminar In Behavioral Science Stochastic Models Systems Simulation Econometrics I Econometrics II Mathematical Sciences Interdisciplinary Service Courses • Mathematics as part of other Math-Science-Engineering (MSE) disciplines. • Several of our mathematics electives offerings are primarily service courses, designed and maintained with our MSE partner disciplines in mind. MA364 Engineering Mathematics CHEM- Chemical Engineering CHEM- Chemical Engineering Studies CME- Civil Engineering Studies CME- Civil Engineering CME- Mechanical Engineering CME- Mechanical Engineering Studies EECS- Electrical Engineering PHYS- Nuclear Engineering PHYS- Nuclear Engineering Science MA366 Vector Calculus and Introduction to PDEs GEnE- Environmental Engineering MA372 Introduction to Discrete Mathematics EECS- Computer Science MA376 Applied Statistics BSL- Information Systems Engineering Major BSL- Engineering Psychology Major BSL- Info Sys Engr Major: Human Factors EECS- Info Systems Engr: Computing Systems Mathematical Sciences How YOU can help… • • • • Identify cadets with the propensity for and interest in mathematics. Offer Mathematics as an option for them to consider as a major. Set high standards and expect cadets to attain them, in order to set them up for success in follow-on math courses. Be prepared to answer questions – know where to get answers Redbook: http://www.dean.usma.edu/sebpublic/curriccat/static/index.htm DAC Website: http://www.math.usma.edu/people/counsel/ Course Pages: http://www.dean.usma.edu/departments/math/courses/elective/default.htm Mathematical Sciences Best Teaching Advice I Ever Got… When you teach, erase the chalkboard with an “up and down” motion…(side-to-side makes your butt jiggle) Mathematical Sciences Questions?