Resources

Lecture Notes

• Intro, overview ( PDF )
• Polynomial interpolation ( PDF )
• Splines, briefly ( PDF )
• Finite differences ( PDF )
• Quadrature ( PDF )
• Orthogonal bases, least-squares ( PDF )
• Discrete Fourier Transform ( PDF )
• ODE Initial value problems ( PDF )
• IVPs (RK and adaptive methods) ( PDF )
• ODE Boundary value problems ( PDF )
• PDEs (heat/Laplace's equation) ( PDF )

Code examples (notebooks)

• Polynomial interpolation ( jupyter )
• Derivatives, convergence ( jupyter )
• Initial value problems ( jupyter )
• ODE stability regions ( jupyter )
• Boundary value problems (shooting) ( jupyter )

Homework

• HW 0 ( PDF )
• HW 1 ( PDF )
• HW 2 ( PDF )
• HW 3 ( PDF )
• HW 4 ( PDF )
• HW 5 ( PDF )
• HW 6 ( PDF )
• HW 7 ( PDF )
• HW 8 ( PDF )
• HW 9 ( PDF )

Reference, review, general

• Midterm HW (+solutions) ( PDF )
• Syllabus (PDF)
• Guidelines for computational problems (PDF)