Crispin A E Stromberg Background Master of Science Applied Statistics Kennesaw State University 2012 Graduate Mathematics and Statistics Courses University of West Florida Bachelor of Science Mathematics ID: 786274
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Slide1
Mathematics Content Defense
Crispin A E Stromberg
Slide2Background
Master of Science, Applied Statistics
Kennesaw State University, 2012
Graduate Mathematics and Statistics Courses
University of West Florida
Bachelor of Science, Mathematics
University of North Georgia, 2010
Mathematics Instructor
Lanier Technical College
Lifelong Education Opportunities
Mathematics Tutor
Georgia State University
Private
Slide3Self-Assessment Tools
Practice GACE Missed:
1 Number & Quantity, 2 Algebra, 2 Discrete Math, 1 Calculus, 1 Function, 3 Geometry, 0
Prob
/Stats
Self Assessment
All Areas Need Some Review
Number and Quantity
Algebra
Discrete Mathematics and Calculus
Functions
Geometry
Probability and Statistics
AREA I: Number and Quantity
There
are a few outcomes that will require review, and I can do this on my own
.
Study Plan for Number and Quantity
Review vector
addition operations,
velocity
problems, polar coordinate representations of complex numbers, and complex number operations in the plane. TEXT: Chapter 8, sections 2, 3 and 4 of Precalculus: An Investigation of Functions by David Lippman and Melonie Rasmussen (2014).This will be completed by September 30th, 2015.
Slide5AREA I: Number and Quantity
Evidence to Support Plan
Coursework
Precalculus
Calculus Sequence
Real Analysis (undergraduate and graduate)
Physics I and II
Teaching/Tutoring
College-level Learning Support Math Algebra I and II
Slide6AREA II: Algebra
There are a few outcomes that will require review, and I can do this on my own
.
Study Plan for Algebra
I will review the binomial theorem, rate of change, and techniques for analyzing zeros of functions.
I
will accomplish this by reading and working problems in extended Chapter 3, sections 1 through 5 of
Precalculus
: An Investigation of Functions by David Lippman and Melonie Rasmussen (2014).This will be accomplished by September 30th, 2015.
Slide7AREA II: Algebra
Evidence to Support Plan
Coursework
Precalculus
Calculus Sequence
Real Analysis (undergraduate and graduate)
Teaching/Tutoring
C
ollege-Level Learning Support math classesAlgebra I and II
Slide8AREA III: Discrete Mathematics and Calculus
T
here
are a few outcomes that will require review, and I can do this on my own
.
Study Plan for Discrete Mathematics and Calculus
I will review sequences, basic vertex-edge graphs, trees, and networks, truth statements, one-sided and non-existent limits, continuity tests, behavior of functions, applications of the calculus, and infinite series.
I
will study and work problems in Chapters 3,6,8,9, and 10 in Applied Discrete Structures by Alan Doerr and Kenneth Levasseur (2013). For the calculus areas, I will study and work problems in Chapters 1,3,4,7, and 8 of the APEX book, Calculus, by Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar
(2013
).
Chapter Contents
This will be completed by
November 30
th
, 2015.
Slide9AREA III: Discrete Mathematics and Calculus
Applied Discrete Structures
by Alan
Doerr
and Kenneth
Levasseur
Applied Discrete Structures
Chapters 3, 6, 8, 9, 10Calculus, by Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar CalculusChapters 1, 3, 4, 7, 8
Slide10AREA III: Discrete Mathematics and Calculus
Evidence to Support Plan
Coursework
Discrete Mathematics
Calculus Sequence
Differential
Equations
Partial Differential Equations (graduate)
Mathematical Modeling (graduate)Real Analysis (undergraduate and graduate)TutoringCalculus Sequence
Slide11AREA IV: Functions
There are a few outcomes that will require review, and I can do this on my own.
Study Plan for Functions
I will review inverse functions to solve trigonometric equations in modeling contexts.
This
will be accomplished by reading and working problems in Chapter 6,
sections 3-5 of
Precalculus
: An Investigation of Functions by David Lippman and Melonie Rasmussen (2014).This will be completed by September 30th, 2015.
Slide12AREA IV: Functions
Evidence
to Support
Plan
Coursework
Precalculus
Calculus Sequence
Real Analysis (undergraduate and graduate)Teaching/TutoringAlgebra I and II Trigonometry
Slide13AREA V: Geometry
There are a few outcomes that will require review, and I can do this on my own.
Study Plan for Geometry
I will review compass and straightedge constructions, congruence in terms of rigid motions, equations of conic sections with foci given, circle theorems, sectors of circles, and geometric methods to solve design problems.
I
will accomplish this by reading and working problems in Chapters 2-4 of
College Geometry Using the Geometer’s Sketchpad
by Barbara E. Reynolds and William E. Fenton
. If schedule permits, I will also take Modern Geometry when it is offered in the Spring semester of 2016.This will be completed by May 15th, 2016.
Slide14AREA V: Geometry
Evidence
to Support
Plan
Coursework
Modern Geometry (Undergraduate)
Teaching/Tutoring:
Geometry
Algebra IITrigonometry
Slide15AREA VI: Probability and
Statistics
There are a few outcomes that will require review, and I can do this on my own
.
Study
Plan for Probability and Statistics
I will review Probability Distributions, Expected Value, and Simulations. I will do this by
studying:
Chapter 2: Probability Chapter 3: Random Variables in An Introduction to Mathematical Statistics. This will be completed by May 15th, 2016.
Slide16AREA VI: Probability and
Statistics
Evidence to Support Plan
Coursework
Mathematical Statistics I (grad)
Mathematical Statistics II (grad)
M.S. in Applied Statistics
Work ExperienceStatistics Internship
Slide17Texts
Doerr
, A. &
Levasseur
, K. (2013).
Applied Discrete Structures
. Retrieved from:
http://faculty.uml.edu/klevasseur/ADS2_zips/ADS_V2-0.pdf
Hartman, G.,
Heinold
, B.,
Siemers
, T., &
Chalishajar
, D. (2013).
Calculus
. J. Bowen (Ed.). Retrieved from:
http://www.vmi.edu/WorkArea/DownloadAsset.aspx?id=10737424884
Larsen, R.& Marx, M. (2005).
An Introduction to Mathematical Statistics
(4
th
ed.)
.
Prentice Hall.
Lippman
, D.& Rasmussen, M., (2014).
Precalculus
: An Investigation of Functions
. Retrieved from
http://www.opentextbookstore.com/precalc/1.4/Precalc.pdf
Reynolds, B. & Fenton, W. ( 2012).
College Geometry using the Geometer’s Sketchpad.
Sommerset
. NJ: Wiley.
Slide18Online Resources
NPTEL
Khan Academy
YouTube
Slide19Coursework
Title of Course
Listing
Date
Level
Institution
Numerical Analysis I
MAD 6405
Spring 2015
Graduate
UWF
Real Analysis
MAA 6306
Fall 2014
Graduate
UWF
Mathematical Statistics II
STA 5326
Summer 2014
Graduate
UWF
Partial Differential Equations
MAP 5345
Summer 2014
Graduate
UWF
Mathematical Modeling
MAP 6108
Spring 2014
Graduate
UWF
Biostatistics
STA 5176
Fall 2013
Graduate
UWF
Matrix Theory
MAS 5145
Fall 2013
Graduate
UWF
Advanced Probability
MAP 5471Summer 2011GraduateUWFApplied Analysis ProjectSTAT 8940Fall 2012GraduateKSUApplied Categorical Data AnalysisSTAT 8310Fall 2012GraduateKSUAdvanced Programming in SASSTAT 8020Fall 2012GraduateKSUApplied Analysis ProjectSTAT 8940Summer 2012GraduateKSUApplied Regression AnalysisSTAT 8210Summer 2012GraduateKSUApplied Experimental DesignSTAT 8120Spring 2012GraduateKSUProgramming in RSTAT 7900Spring 2012GraduateKSUStatistical MethodsSTAT 7100Fall 2011GraduateKSUStatistical ComputingSTAT 7000Fall 2011GraduateKSU
Title of Course
Listing
Date
Level
Institution
Senior Project in Math
MATH 4950
Fall 2010
Undergrad.
UNG
Intro to Discrete Mathematics
MATH 3500
Fall 2010
Undergrad.
UNG
Differential Equations
MATH 3000
Fall 2010
Undergrad.
UNG
Game Theory
MATH 3950
Spring 2010
Undergrad.
UNG
History of Mathematics
MATH 4700
Spring 2010
Undergrad.
UNG
Adv
Calculus I (Real Analysis)
MATH 4661
Fall 1998
Undergrad.
GSU
Modern Algebra I
MATH 4441
Spring 1999
Undergrad.
GSU
Geometry
MATH 3120
Summer 1999
Undergrad.
GSU
Intermediate Linear Algebra
MATH 435
Winter 1997
Undergrad.
GSU
Mathematical Statistics I
MATH 451
Winter 1997
Undregrad.
GSU
Intro Linear Algebra
MATH 335
Fall 1996
Undergrad.
GSU
Discrete Mathematics
MATH 220
Winter 1996
Undergrad.
GSU
Intermediate Calculus
MATH 214
Winter 1996
Undergrad.
GSU
Multivariable Calculus III
MATH 213
Fall 1995
Undergrad.
GSU
Calculus of One Var II
MATH 212
Summer 1995
Undergrad.
GSU
Calculus of One Var I
MATH 211
Spring 1995
Undergrad.
GSU
PreCalculus
MATH 126
Winter 1995
Undergrad.
GSU
Slide20