1. Mathematics Content Defense CRISPIN A E STROMBERG

2. Background 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

3. Self-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

4. 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 30 th, 2015.

5. 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

6. 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 30 th, 2015.

7. AREA II: Algebra Evidence to Support Plan Coursework Precalculus Calculus Sequence Real Analysis (undergraduate and graduate) Teaching/Tutoring College-Level Learning Support math classes Algebra I and II

8. AREA 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.

9. 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

10. 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

11. 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 30 th, 2015.

12. AREA IV: Functions Evidence to Support Plan Coursework Precalculus Calculus Sequence Real Analysis (undergraduate and graduate) Teaching/Tutoring Algebra I and II Trigonometry

13. 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 15 th, 2016.

14. AREA V: Geometry Evidence to Support Plan Coursework Modern Geometry (Undergraduate) Teaching/Tutoring: Geometry Algebra II Trigonometry

15. 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 15 th, 2016.

16. 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

17. 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 (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.

18. Online Resources NPTEL Khan Academy YouTube

19. Coursework Title of CourseListingDateLevelInstitution Numerical Analysis IMAD 6405Spring 2015GraduateUWF Real AnalysisMAA 6306Fall 2014GraduateUWF Mathematical Statistics IISTA 5326Summer 2014GraduateUWF Partial Differential EquationsMAP 5345Summer 2014GraduateUWF Mathematical ModelingMAP 6108Spring 2014GraduateUWF BiostatisticsSTA 5176Fall 2013GraduateUWF Matrix TheoryMAS 5145Fall 2013GraduateUWF Advanced ProbabilityMAP 5471Summer 2011GraduateUWF Applied Analysis ProjectSTAT 8940Fall 2012GraduateKSU Applied Categorical Data AnalysisSTAT 8310Fall 2012GraduateKSU Advanced Programming in SASSTAT 8020Fall 2012GraduateKSU Applied Analysis ProjectSTAT 8940Summer 2012GraduateKSU Applied Regression AnalysisSTAT 8210Summer 2012GraduateKSU Applied Experimental DesignSTAT 8120Spring 2012GraduateKSU Programming in RSTAT 7900Spring 2012GraduateKSU Statistical MethodsSTAT 7100Fall 2011GraduateKSU Statistical ComputingSTAT 7000Fall 2011GraduateKSU Title of CourseListingDateLevelInstitution Senior Project in MathMATH 4950Fall 2010Undergrad.UNG Intro to Discrete MathematicsMATH 3500Fall 2010Undergrad.UNG Differential EquationsMATH 3000Fall 2010Undergrad.UNG Game TheoryMATH 3950Spring 2010Undergrad.UNG History of MathematicsMATH 4700Spring 2010Undergrad.UNG Adv Calculus I (Real Analysis)MATH 4661Fall 1998Undergrad.GSU Modern Algebra IMATH 4441Spring 1999Undergrad.GSU GeometryMATH 3120Summer 1999Undergrad.GSU Intermediate Linear AlgebraMATH 435Winter 1997Undergrad.GSU Mathematical Statistics IMATH 451Winter 1997Undregrad.GSU Intro Linear AlgebraMATH 335Fall 1996Undergrad.GSU Discrete MathematicsMATH 220Winter 1996Undergrad.GSU Intermediate CalculusMATH 214Winter 1996Undergrad.GSU Multivariable Calculus IIIMATH 213Fall 1995Undergrad.GSU Calculus of One Var IIMATH 212Summer 1995Undergrad.GSU Calculus of One Var IMATH 211Spring 1995Undergrad.GSU PreCalculusMATH 126Winter 1995Undergrad.GSU