MOOC Massive Open Online Courses (Academic Year 2014/2015)

Complex Analysis

CFU: 5

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Professor

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List of lessons

• Lesson n. 1: Course overview		Simon Salamon
• Lesson n. 2: Using complex number		Simon Salamon
• Lesson n. 3: Holomorphic functions		Simon Salamon
• Lesson n. 4: The Cauchy Riemann equations		Simon Salamon
• Lesson n. 5: Power series		Simon Salamon
• Lesson n. 6: Contour integration		Simon Salamon
• Lesson n. 7: Cauchy's theorem		Simon Salamon
• Lesson n. 8: Cauchy's integral formula		Simon Salamon
• Lesson n. 9: Laurent series		Simon Salamon
• Lesson n. 10: Residues and boundaries		Simon Salamon
• Lesson n. 11: Singularities and integrals		Simon Salamon
• Lesson n. 12: Polynomials and definite integrals		Simon Salamon
• Lesson n. 13: Further integration tecnique		Simon Salamon
• Lesson n. 14: Laplace transforms		Simon Salamon
• Lesson n. 15: Transforms calculus		Simon Salamon
• Lesson n. 16: The inverse Laplace transforms		Simon Salamon
• Lesson n. 17: The theory of distributions		Simon Salamon
• Lesson n. 18: Working with distributions		Simon Salamon
• Lesson n. 19: Convolution of function		Simon Salamon
• Lesson n. 20: The Fourier transform		Simon Salamon
• Lesson n. 21: Fourier inversion		Simon Salamon
• Lesson n. 22: Fourier transforms of distributions		Simon Salamon
• Lesson n. 23: Back to Laplace transforms		Simon Salamon
• Lesson n. 24: Derivatives, series and integrals		Simon Salamon
• Lesson n. 25: A final application		Simon Salamon