University of California, Berkeley

Fall, 2025 ~ Present

Bachelor of Arts - BA, Physics and Mathematics

  • Kinematics, dynamics, work and energy, rotational motion, oscillations, fluids and relativity. Use of calculus and vector algebra will be emphasized.

  • Electric fields and potential, circuits, magnetism and induction. Introduction to optics including light propagation, reflection, refraction and interference.

  • Covers a variety of modern and historical experiments, emphasizing data analysis, clear scientific communication, and development of skills on modern equipment.

  • Temperature, kinetic theory, entropy; particle/wave nature of matter, Schrodinger equation, hydrogen atom, applications of quantum physics.

  • Introductory scientific programming in Python with examples from physics. Topics include: visualization, statistics and probability, regression, numerical integration, simulation, data modeling, function approximation, and algebraic systems.

  • Programming for numerical calculations, round-off error, approximation and interpolation, numerical quadrature, and solution of ordinary differential equations. Practice on the computer.

  • Solar system topics include orbital mechanics, geology of terrestrial planets, planetary atmospheres, and the formation of the solar system.

University of North Dakota

Summer, 2025

Dual Enrollment

  • Covering essential topics like logic, set theory, proof techniques, and recurrence relations, Math 208 builds the theoretical tools needed for algorithmic thinking, systems design, and advanced math.

  • Covering first and second order differential equations and Laplace transforms

Lawrence Technological University

Fall, 2024 ~ Spring, 2025

Dual Enrollment

  • Three-dimensional analytic geometry. Vectors, vector-valued functions, motions in space, functions of several variables, partial differentiation, multiple integration, integration of vector fields, Green's Theorem and Divergence Theorem.

  • Systems of linear equations, matrices, determinants, eigenvalues, eigenvectors, Finite-dimensional vector spaces, linear transformations and their matrices, Gram-Schmidt orthogonalization, inner product spaces.

Troy High School

Fall, 2021 ~ Spring, 2025

High School Diploma

  • Calculus-based study of classical mechanics, including kinematics, Newton’s laws, work and energy, momentum, rotation, and oscillatory motion, with emphasis on problem-solving and physical modeling.

  • Calculus-based exploration of electric and magnetic phenomena, covering electrostatics, electric circuits, magnetic fields, electromagnetic induction, and Maxwell’s equations.

  • Advanced calculus course covering limits, derivatives, integrals, series, parametric and polar functions, and differential equations, extending beyond single-variable calculus fundamentals.

  • Introduction to computer science using Java, focusing on object-oriented programming, data structures, algorithms, and problem-solving through code design and implementation.

  • Broad introduction to computing concepts, including algorithms, data, the internet, cybersecurity, and the societal impacts of computing, with emphasis on computational thinking.

  • Study of data collection, analysis, probability, and statistical inference, including experimental design, regression, hypothesis testing, and interpretation of real-world data.

  • College-level chemistry course covering atomic structure, chemical bonding, thermodynamics, kinetics, equilibrium, acids and bases, and electrochemistry, with laboratory analysis.