Lecture notes will be placed here.

- January 17 (#01): Complex plane/Euler's formula
- January 22 (#02): Exponential/logarithmic functions, Branch cut/branch points
- January 24 (#03): Differentiability/Cauchy-Riemann relation
- January 29 (#04): Harmonic functions, Cauchy's theorem
- January 31 (#05): Cauchy's integral formulas/Liouville's theorem
- February 05 (#06): Taylor series/Analytic continuation/Laurent series
- February 07 (#07): Laurent series
- February 12 (#08) : Singularities, residue
- February 14 (#09) : Application of residue theorem to integrals
- February 19 (#10) : Application of residue theorem to integrals (2)
- February 21 (#11) : Conformal mapping
- February 26 (#12): Laplace equation, Bi-harmonic equations, Solid mechanics, Potential flow
- March 07 (#13): Potential flow, Liner space (inner product, norm)
- March 19 (#14): Liner space (best approximation)
- March 21 (#15): Gram-Schmidt orthonormalization, Sturm-Liouville systems
- March 26 (#16): Sturm-Liouville, Eigenvalues, Eigenfunctions.
- March 28 (#17): Eigenvalues/functions
- April 02 (#18): Eigenvalues/Diffusion equations
- April 04 (#19): Wave equations/When the interval is infinite/Method of Weighted Residuals
- April 09 (#20): When the interval is infinite/Method of Weighted Residuals
- April 11 (#21): Method of weighted residuals
- April 16 (#22): MWR for S-L systems, FEM-weak form, FreeFEM++
- April 18 (#23): Finite difference method
- April 23 (#24): LU decomposition/Neumann series
- April 25 (#25): Neumann series, Existence of solution
- April 30 (#26): Bessel functions, Green's function

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