Lectures:

• Lecture 00: Introduction
• Lecture 01: Calculus; Linear Algebra; Hyperbolic Functions; Cycloid
• Lecture 02: Euler's Identity; δ Function; Fourier Transform
• Lecture 03: Orthogonal Coordinate System
• Lecture 04: Vector Analysis
• Lecture 05: Calculus of Variations
• Lecture 06: Poisson Equation and Heat Equation
• Lecture 07: Analytic Functions
• Lecture 08: Laurent Expansion and Residue Theorem
• Lecture 09: Γ Function; Analytic Continuation
• Lecture 10: Art of Series
• Lecture 11: Contour Integration
• Lecture 12: Advanced Topics on δ Function and Fourier Transform
• Lecture 13: Wavelet Transform
• Lecture 14: Laplace Transform
• Lecture 15: Stirling Formula; nD spherical integral
• midterm solutions
• Lecture 16: Wave Equation
• Lecture 17: Separation of Variables; Green's Function
• Lecture 18: Equations with source
• Lecture 19: Harmonic Theory; Sturm-Liouville Equation; Bessel Function Introduction
• Lecture 20: Bessel Function J_m(x)
• Lecture 21: More about Bessel Function J_m(x)
• Lecture 22: Bessel Function N_m(x)
• Lecture 23: Spherical Harmonic Y_lm(x)
• Lecture 24: Spherical Bessel j_l(x)
• Lecture 25: Legendre Polynomials; More about Y_lm(x)
• Lecture 26: Solving ODEs with Series Expansion
• Lecture 27: Leapfrog algorithm (symplectic method)
• Lecture 28: Nonlinear ODEs
• Lecture 29: Advanced Topics on Green's Function
• Lecture 30: Physical Approximations
• Lecture 31: Green Function for 1D wave equation
• Lecture 32: Green Function for 2D wave equation
• Lecture 33: Green Function for 3D wave equation
• summary of harmonic functions
• the best memories of MMP