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Teaching

George Mason University (2021 – present; all as instructor of record):

Math 113-Analytic Geometry and Calculus I: Covered functions, limits, the derivative, maximum and minimum problems, the integral, and transcendental functions.

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Math 114-Analytic Geometry and Calculus II: Covered integration techniques, applications of integrals (work, solids of revolution), sequences & series, and parameterization & polar coordinates.

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Math 116-Analytic Geometry and Calculus II (Honors): Covered integration techniques, applications of integrals (work, solids of revolution), sequences & series, and parameterization & polar coordinates. More challenging version of MATH 114

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Math 123- Calculus I, part I: Covered functions, limits, the derivative, and some applications of the derivative

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Math 124- Calculus I, part II: Covered the derivative, maximum and minimum problems and other applications of derivatives, the integral, and transcendental functions.

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Math 203- Linear Algebra: Systems of linear equations, linear independence, linear transformations, inverse of a matrix, determinants, vector spaces, eigenvalues, eigenvectors, and orthogonalization.

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Math 214- Elementary Differential Equations: First-order ODEs, higher-order ODEs, Laplace transforms, linear systems, nonlinear systems, numerical approximations, and modeling.

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Math 300- Introduction to Advanced Mathematics: Introduction to proofs and the language of mathematics. Topics include induction, equivalence relations, cardinality, and basic properties of the real numbers. Designated as a writing intensive course for mathematics majors.

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Virginia Tech (2016 – 2021):

Math 1014- Precalculus with Transcendental functions: Summer 2019, Instructor of Record. precalculus college algebra, basic functions (algebraic, exponential, logarithmic, and trigonometric), conic sections, graphing techniques, basic probability. Usage of mathematical models, analytical calculations, and graphical or numerical representations of data to analyze problems from multiple disciplines that address intercultural and global challenges in areas such as chemistry, environmental science, the life sciences, finance, and statistics. Use of spreadsheet software.

 

Math 1225-Calculus I: Fall 2019, Fall 2018, Fall 2017, Instructor of Record. Unified calculus course covering techniques of differential and integral calculus for functions of one variable. This sequence constitutes the standard first-year mathematics courses for science and engineering. 1225: limits, continuity, differentiation, transcendental functions, applications of differentiation, introduction to integration.

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Math 1226- Calculus II: Spring 2020, Instructor of Record. Unified calculus course covering techniques of differential and integral calculus for functions of one variable. This sequence constitutes the standard first-year mathematics courses for science and engineering. 1226: techniques and applications of integration, trapezoidal and Simpson's rules, improper integrals, sequences and series, power series, parametric curves and polar coordinates, software-based techniques.

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Math 2214- Introduction to Differential Equations: Summer 2020, Spring 2021, Graduate Teaching Assistant; Fall 2020, Instructor of Record. Unified course in ordinary differential equations. First-order equations, second-and-higher-order constant coefficient linear equations, systems of first-order linear equations, and numerical methods. Mathematical models describing motion and cooling, predator-prey population models, SIR-models, mechanical vibrations, electric circuits, rates of chemical reactions, radioactive decay. Quantitative and computational thinking to address relevant intercultural and global issues.

 

Math 1025- Elementary Calculus: Summer 2018, Instructor of Record. Quantitative and computational thinking to address relevant global issues. Unified calculus course covering techniques and applications of differential and integral calculus for functions of one variable. Constitutes the standard first-year mathematics courses for the life sciences. Differential calculus, graphing, applications for the life sciences, use of spreadsheet software.

 

Math 3624-Early Teaching Experience: Spring 2018, Spring 2017, Graduate Teaching Assistant. An early field experience designed for mathematics students in the mathematics education option. Principles for school mathematics. Secondary school classroom experience and experience-based research.

 

George Mason University (2014 – 2015):

Math 113-Analytic Geometry and Calculus I: Fall 2014, Spring 2015, Graduate Teaching Assistant. Covered functions, limits, the derivative, maximum and minimum problems, the integral, and transcendental functions. Led recitations

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