d/math electives program overview
DESCRIPTION
D/MATH ELECTIVES PROGRAM OVERVIEW. LTC Doug McInvale Electives Program Director 11 July 2012. DMATH Cadets, Classes 2001-2012. Electives Program is Nested With Institutional Priorities. Academic Program Goal - PowerPoint PPT PresentationTRANSCRIPT
Mathematical Sciences
D/MATH ELECTIVES D/MATH ELECTIVES PROGRAM OVERVIEWPROGRAM OVERVIEW
LTC Doug McInvale
Electives Program Director
11 July 2012
Mathematical Sciences
DMATH Cadets, Classes 2001-2012
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5
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15
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40
2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012
Class
Math Major
OR Major
App Stats
Total
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 Major1. 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
MathematicsOperations Research
Applied Statistics
Math Studies Major
OR Studies Major
Applied Stats Minor
Math Sciences Major
OR Major -
Math Sciences Major (H)
OR Major (H) -
Programs of Study in D/Math
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
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
ENG Sequence Included
16 Major Courses
ENG Sequence Included
17 Major Courses
ENG Sequence Included
26 Common Core Courses that all cadets take +
Applied Stats Minor
5 Additional Courses to a Major of Choice
Curriculum Overview
Mathematical Sciences
COURSE Title
MA363 VECTOR CALCULUS AND ODE MA364 ENGINEERING MATHEMATICS MA366 VECTOR CALCULUS & INTRO PDES 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 MA396 NUM METH SOLUTIONS DIFF EQNS MA461 GRAPH THEORY AND NETWORKS
Electives Courses
MA461 GRAPH THEORY AND NETWORKS MA462 COMBINATORICS MA464 APPLIED ALGEBRA W/ CRYPTOLOGY MA466 ABSTRACT ALGEBRA MA476 MATHEMATICAL STATISTICS MA481 LINEAR OPTIMIZATION MA484 PARTIAL DIFF EQUATIONS MA485 APPLIED COMPLEX VARIABLES MA487 MATHEMATICAL ANALYSIS II MA488 SPECIAL TOPICS IN MATHEMATICS MA489 ADV INDIV STUDY IN MATH MA490 APP PROB FROM MATH, SCI & ENGR MA491 RESEARCH SEMNR-APPLD MATH MA493 Topics Courses MA498 SR THESIS I: RSCRCH & PROPOSAL MA499 SR THESIS II: PAPER & DEFENSE
COURSE Title
MA363 VECTOR CALCULUS AND ODE
Redbook: http://www.dean.usma.edu/sebpublic/curriccat/static/index.htmDAC Website: http://www.math.usma.edu/people/counsel/Course Pages: http://www.dean.usma.edu/departments/math/courses/elective/default.htm
*MA388 SABERMETRICS (new to the Redbook this year)
Mathematical Sciences
A Sample Path a Math Major May TakeClass of 2014
1st Term 2nd Term 1st Term 2nd Term 1st Term 2nd Term 1st Term 2nd Term
MA103 MA104 MA205MA363
Vector Calc, ODEs
Eng Seq 1 Eng Seq 2 Eng Seq 3 LW403
CH101 CH102 PH201MA371 Lin
Alg
MA386 Numerical Analysis
EN302 HI301 HI302
PL100 IT105 PY201 PH202MA383
Foundations MA387
Analysis IMA466* Algebra
MA491 Research
HI10x HI10y SS201 EV203 MA206**MA376/476
Stats Math
Elective 1Math
Elective 2
EN101 EN102 Lx201 SS202 SS307 IT305MA391
ModelingMA490 Integ.
Exp.
Lx202 PL300
Fourth Class Third Class Second Class First Class
We emphasize student choice where it makes sense.
Mathematical Sciences
Applied Statistics Minor
Choose 1 of 1MA 476 Mathematical Statistics
Choose 1 of 2MA 376 Applied Statistics SE 375 Statistics For Engineers
Choose 3 of 12KN 494 Research Methods/Data AnalysisMA 371 Linear Algebra MA 488 Special Topics In MathematicsPH 361 Experimental PhysicsPH 481 Statistical PhysicsPL 386 Experimental PsychologyPL 492 Seminar In Behavioral Science – Network Science PL 497 Seminar In Behavioral ScienceSE 388 Stochastic ModelsSE 481 Systems SimulationSS 368 Econometrics ISS 469 Econometrics II
Mathematical Sciences
Interdisciplinary Service Courses
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 EngineeringPHYS - Nuclear Engineering PHYS - Nuclear Engineering
Science
• 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.
MA366 Vector Calculus and Introduction to PDEs GEnE- Environmental Engineering
MA372 Introduction to Discrete MathematicsEECS- Computer Science
MA376 Applied StatisticsBSL- Information Systems Engineering Major BSL- Engineering Psychology Major BSL- Info Sys Engr Major: Human Factors EECS- Info Systems Engr: Computing Systems
Mathematical Sciences
• 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
How YOU can help…
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?