Mathematics Content DefenseCRISPIN A E STROMBERG

BackgroundMaster of Science, Applied Statistics◦ Kennesaw State University, 2012Graduate Mathematics and Statistics Courses◦ University of West FloridaBachelor of Science, Mathematics◦ University of North Georgia, 2010

Mathematics Instructor◦ Lanier Technical College◦ Lifelong Education Opportunities

Mathematics Tutor◦ Georgia State University◦ Private

Self-Assessment ToolsPractice 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.

AREA 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

AREA 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.

AREA II: AlgebraEvidence to Support Plan

Coursework• Precalculus• Calculus Sequence• Real Analysis (undergraduate and graduate)

Teaching/Tutoring• College-Level Learning Support math classes• Algebra I and II

AREA III: Discrete Mathematics and Calculus

There 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 30th, 2015.

AREA III: Discrete Mathematics and Calculus

Applied Discrete Structures by Alan Doerr and Kenneth Levasseur

Applied Discrete Structures

Chapters 3, 6, 8, 9, 10

Calculus, by Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar

Calculus

Chapters 1, 3, 4, 7, 8

AREA 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)

Tutoring• Calculus Sequence

AREA 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.

AREA IV: Functions Evidence to Support Plan

Coursework • Precalculus• Calculus Sequence• Real Analysis (undergraduate and graduate)

Teaching/Tutoring• Algebra I and II • Trigonometry

AREA 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.

AREA V: Geometry Evidence to Support Plan

Coursework• Modern Geometry (Undergraduate)

Teaching/Tutoring:• Geometry• Algebra II• Trigonometry

 AREA 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.

 AREA VI: Probability and Statistics

Evidence to Support Plan

Coursework• Mathematical Statistics I (grad)• Mathematical Statistics II (grad) • M.S. in Applied Statistics

Work Experience• Statistics Internship

Texts

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 (4th ed.). Prentice Hall.

Lippman, D.& Rasmussen, M., (2014). Precalculus: An Investigation of Functions. Retrieved fromhttp://www.opentextbookstore.com/precalc/1.4/Precalc.pdf

Reynolds, B. & Fenton, W. ( 2012). College Geometry using the Geometer’s Sketchpad. Sommerset. NJ: Wiley.

Online Resources

NPTEL

Khan Academy

YouTube

CourseworkTitle 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 5471 Summer 2011 Graduate UWF

Applied Analysis Project STAT 8940 Fall 2012 Graduate KSU

Applied Categorical Data Analysis STAT 8310 Fall 2012 Graduate KSU

Advanced Programming in SAS STAT 8020 Fall 2012 Graduate KSU

Applied Analysis Project STAT 8940 Summer 2012 Graduate KSU

Applied Regression Analysis STAT 8210 Summer 2012 Graduate KSU

Applied Experimental Design STAT 8120 Spring 2012 Graduate KSU

Programming in R STAT 7900 Spring 2012 Graduate KSU

Statistical Methods STAT 7100 Fall 2011 Graduate KSU

Statistical Computing STAT 7000 Fall 2011 Graduate KSU

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