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Complex Numbers: Sequences, Series in C, exp, sin, cos
Covers complex numbers, sequences, series, and exponential, sine, and cosine functions in the complex plane.
Fourier Series: Periodic Functions and Calculations
Covers Fourier series for periodic functions and calculations involving Fourier coefficients.
Divergence Examples
Explores examples of divergence in vector fields and their physical meanings.
Sinc Interpolation
Covers Lagrange interpolation, local schemes, and sinc interpolation convergence.
Taylor Series: Approximating Functions with Polynomials
Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.
Limits of Trigonometric Functions
Covers the concept of limits of trigonometric functions, focusing on the sine function and rational functions.
Entire Functions: Derivatives and Error Terms
Explores entire functions, derivatives, error terms, and cautionary counterexamples.
Trigonometric Functions: Arcsin and Arccos
Covers the definitions and properties of arcsin and arccos functions.