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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?