Fall 2026

Marcio Fuzeto Gameiro

Course Description:

A first semester graduate course intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Power series and the method of Frobenius for solving differential equations; nonlinear differential equations and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier and Laplace transforms; separation of variables and other elementary solution methods for the linear differential equations of physics: the heat, wave, and Laplace equations.

Text:

Michael D. Greenberg, Advanced Engineering Mathematics (second edition), Prentice-Hall, 1998.

Prerequisites:

Undergraduate Calculus

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Fall 2025

Marcio Fuzeto Gameiro

Course Description:

A first semester graduate course intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Power series and the method of Frobenius for solving differential equations; nonlinear differential equations and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier and Laplace transforms; separation of variables and other elementary solution methods for the linear differential equations of physics: the heat, wave, and Laplace equations.

Text:

Michael D. Greenberg, Advanced Engineering Mathematics (second edition), Prentice-Hall, 1998.

Prerequisites:

Undergraduate Calculus

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Fall 2024

Marcio Fuzeto Gameiro

Course Description:

A first semester graduate course intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Power series and the method of Frobenius for solving differential equations; nonlinear differential equations and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier and Laplace transforms; separation of variables and other elementary solution methods for the linear differential equations of physics: the heat, wave, and Laplace equations.

Text:

Michael D. Greenberg, Advanced Engineering Mathematics (second edition), Prentice-Hall, 1998.

Prerequisites:

Undergraduate Calculus

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Fall 2023 

Liping Liu

Course Description:

 A first semester graduate course intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Power series and the method of Frobenius for solving differential equations; nonlinear differential equations and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier and Laplace transforms; separation of variables and other elementary solution methods for the linear differential equations of physics: the heat, wave, and Laplace equations

Text:

Michael D. Greenberg, Advanced Engineering Mathematics (second edition), Prentice-Hall, 1998.

Prerequisites:

None

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Fall 2022

Marcio Fuzeto Gameiro

Course Description:

A first semester graduate course intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Power series and the method of Frobenius for solving differential equations; nonlinear differential equations and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier and Laplace transforms; separation of variables and other elementary solution methods for the linear differential equations of physics: the heat, wave, and Laplace equations.

Text:

Michael D. Greenberg, Advanced Engineering Mathematics (second edition), Prentice-Hall, 1998.

Prerequisites:

Undergraduate Calculus

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Fall 2021 

Marcio Fuzeto Gameiro

Course Description:

A first semester graduate course intended primarily for students in mechanical and aerospace engineering, biomedical engineering, and other engineering programs. Power series and the method of Frobenius for solving differential equations; nonlinear differential equations and phase plane methods; vector spaces of functions, Hilbert spaces, and orthonormal bases; Fourier series and Sturm-Liouville theory; Fourier and Laplace transforms; separation of variables and other elementary solution methods for the linear differential equations of physics: the heat, wave, and Laplace equations.

Text:

Michael D. Greenberg, Advanced Engineering Mathematics (second edition), Prentice-Hall, 1998.

Prerequisites:

Undergraduate Calculus

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Schedule of Sections: 

Previous Semesters: