Jose R. Gonzalez

Jose R. Gonzalez

Aerospace Engineer and Data Scientist

Teaching Experiences

MA 448 Numerical Solution of Differential Equations

Undergraduate course, Embry-Riddle Aeronautical University, Mathematics Department, 2022

Numerical techniques for solving differential equations: initial value problem, Taylor series methods, Runge-Kutta methods and multistep methods; boundary value problem, shooting method; partial differential equations, finite difference method for the heat equation and wave equation. Efficient computational procedures, including the use of library and student-written procedures in Matlab/C/Fortran/Python.

MA 442 Mathematical Methods for Engineering and Physics II

Undergraduate course, Embry-Riddle Aeronautical University, Mathematics Department, 2022

A study of the solution of linear differential equations with variable coefficients; study of the derivation, characteristics, and solutions of partial differential equations; Fourier series, Fourier transform, Laplace transform, and Green’s function; applications in science and engineering.

MA 441 Mathematical Methods for Engineering and Physics I

Undergraduate course, Embry-Riddle Aeronautical University, Mathematics Department, 2022

A study of Line and surface integrals; vector fields with the study of Green, Gauss, and Stokes Theorems; applications of vector field theory; Fourier series and Partial Differential Equations.

MA 432 Linear Algebra

Undergraduate course, Embry-Riddle Aeronautical University, Mathematics Department, 2022

Review of vector and matrix operations including matrix inverses, eigenvectors, and eigenvalues. Equations of lines and planes, vector spaces including basis and dimensions, linear transformations, change of basis, diagonalization of matrices, inner products and orthonormal bases, applications.

MA 348 Numerical Analysis I

Undergraduate course, Embry-Riddle Aeronautical University, Mathematics Department, 2022

A study of Floating point arithmetic, error analysis, algorithms in interpolation, integration, differentiation, matrix algebra, approximation and solution of equations, use of numerical software packages.

MA 345 Differential Equations and Matrix Methods

Undergraduate course, Embry-Riddle Aeronautical University, Mathematics Department, 2022

A study of the treatment of ordinary differential equations to include principle types of first and second order equations; methods of substitution on simple higher order equations; linear equations and systems of linear equations with constant coefficients; methods of undetermined coefficients and variation of parameters; Laplace transforms; series solutions; linear algebra and matrix methods of solutions; applications to physics and engineering.