## Mathematics Courses Completed:

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development of algebra. Additional selected topics.

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*Note that all course descriptions are taken from the Bucknell University Website:

http://www.bucknell.edu/x76410.xml

*MATH 111: Math from a Humanist Perspective*2)

*MATH 116: Statistic Literacy for the 21st Century*3)

*MATH 201: Calculus I*- An introduction to the calculus of algebraic, trigonometric, and transcendental functions. Interpretation, significance, and calculations of a derivative. Applications to geometry, biology, physics, economics, and other subjects. Introduction to the definite integral, including the Fundamental Theorem of Calculus.4)

*MATH 202: Calculus II*- Methods of integration including substitution, integration by parts, numerical approximations, and improper integrals. Series, including Taylor series. Complex numbers, polar coordinates, differential equations and applications.5)

*MATH 207: The Teaching of Mathematics in Secondary Schools*- Investigation into the components of effective secondary school mathematics instruction, including lesson design/implementation (curriculum, tasks, discourse, and assessment).6)

*MATH 211: Calculus III*- Calculus of vector-valued functions and functions of several variables. Multiple, line, and surface integrals; applications and extrema. Green's, Stokes', Divergence Theorems.7)

*MATH 213: Elementary Linear Algebra*- Linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues.8)

*MATH 240: Combinatorics and Graph Theory*- Counting techniques and traversal problems. Does not count toward the major.9)

*MATH 280: Logic, Sets, and Proofs*- Logic, sets; proof techniques; relations, functions, sequences and convergence; cardinality. Skills and tools for independent reading, problem solving, and exploration.10)

*MATH 303: Probability*- Elementary probability, random variables, moments, central limit theorem, conditional expectation, statistical distributions derived from the normal distribution. Probability simulations and applications from various fields.11)

*MATH 307: Statistical Design of Scientific Studies*- Experiments, observational studies. Completely randomized, block, mixed models, crossed, nested design. Simple random, stratified, cluster sampling. Estimation procedures, sample size calculations. Uses R or SAS.12)

*MATH 308: Real Analysis I*- Real numbers and elementary topology of Cartesian spaces, convergence, continuity, differentiation, and history of the development of analysis.13)

*MATH 320: Abstract Algebra I*- Groups and rings; homomorphisms and isomorphism theorems; history of thedevelopment of algebra. Additional selected topics.

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*MATH 335: Geometry*- Historical and axiomatic foundations of geometry. Euclidean and non-Euclidean geometries.*Note that all course descriptions are taken from the Bucknell University Website:

http://www.bucknell.edu/x76410.xml

## Reflection of Completed Mathematics Classes

While taking the various mathematics classes listed above I learned and deepened my understanding of many mathematical concepts in numerous fields of mathematics. These classes are important to consider because they show that I have a strong understanding of mathematics.

## Reflection of Area of Circles and Sectors Slides

I found the lesson that I taught with these slides to go well and that the number of example problems that I included on these slides to be the perfect number of problems for helping students to learn and understand the material while not spending any time unnecessarily on problems after the students already understood the material.

geometry_slides_-_area_of_circles_and_sectors.pptx | |

File Size: | 623 kb |

File Type: | pptx |

## Reflection of Praxis Score Report

This is my Praxis Score Report, which shows that I have an excellent understanding of the mathematics content that high school mathematics teachers are expected to understand.

praxisscorereport.docx | |

File Size: | 722 kb |

File Type: | docx |