d/math electives program overview

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Mathematical Sciences D/MATH ELECTIVES D/MATH ELECTIVES PROGRAM OVERVIEW PROGRAM OVERVIEW LTC Doug McInvale Electives Program Director 11 July 2012

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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 Presentation

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Page 1: D/MATH ELECTIVES  PROGRAM  OVERVIEW

Mathematical Sciences

D/MATH ELECTIVES D/MATH ELECTIVES PROGRAM OVERVIEWPROGRAM OVERVIEW

LTC Doug McInvale

Electives Program Director

11 July 2012

Page 2: D/MATH ELECTIVES  PROGRAM  OVERVIEW

Mathematical Sciences

DMATH Cadets, Classes 2001-2012

0

5

10

15

20

25

30

35

40

2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

Class

Math Major

OR Major

App Stats

Total

Page 3: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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.

Page 4: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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.

Page 5: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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.

Page 6: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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.”

Page 7: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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

Page 8: D/MATH ELECTIVES  PROGRAM  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)

Page 9: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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.

Page 10: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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

Page 11: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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

Page 12: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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…

Page 13: D/MATH ELECTIVES  PROGRAM  OVERVIEW

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)

Page 14: D/MATH ELECTIVES  PROGRAM  OVERVIEW

Mathematical Sciences

Questions?