Lecture Notes

• ODEs (Intro) (PDF)
• ODEs (autonomous ODEs) (PDF)
• ODEs (exact equations) (PDF)
• Linear ODEs (homogeneous) (PDF)
• Linear ODEs (inhomogeneous) (PDF)


• Laplace transform (intro) (PDF)
• Laplace transform (step functions) (PDF)
• Laplace transform (deltas) (PDF)
• Series solutions (PDF)


• PDEs (background) (PDF)
• PDEs (eigenvalue problems, heat equation) (PDF)
• PDEs (eigenfunction expansion) (PDF)
• Interlude: Fourier series (PDF)


• More PDEs (Laplace's equation) (PDF)
• Laplace's equation in a disk (PDF)
• Inhomogeneous PDEs (PDF)

Homework

• Homework 1 (PDF)
• Homework 2 (PDF)
• Homework 3 (PDF)
• Homework 4 (PDF)
• Homework 5 (PDF)
• Homework 6 (PDF)
• Homework 7 (PDF)
• Homework 8 (PDF)
• Homework 9 (PDF)
• Homework 10 (PDF)
• Homework 11 (PDF)
• Extra PDE review (PDF)