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Ingegneria informatica (Academic Year 2019/2020) - Information and communication technologies engineering (riservato agli studenti della Helwan University, Cairo, Egitto)

Calculus 2



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Material related to the whole subject.

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Web resources  (A.Y. 2011/2012)
Lesson n.1: Sequences

Lesson n.2: Series

Lesson n.3: Criteria for series convergence

Lesson n.4: Sequences and series of functions

Lesson n.5: Power Series

Lesson n.6: Taylor series

Lesson n.7: Fourier series

Lesson n.8: Functions of two variables

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Multivariable Functions  (A.Y. 2011/2012)
Lesson n.9: Continuity and Partial derivatives

Lesson n.10: Differentiability

Lesson n.11: Functions of three or more variables

Lesson n.12: Extreme of functions

Lesson n.13: Lagrange Multipliere

Lesson n.14: Double Integrals

Lesson n.15: Double integrals over regions

Lesson n.16: Change of variables

Lesson n.17: Triple Integrals

Lesson n.18: Evaluation of triple integrals

Lesson n.19: Applications of integration

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Multiple Integration  (A.Y. 2011/2012)
Lesson n.20: Differential equations

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Differential Equations  (A.Y. 2011/2012)
Lesson n.21: First order differential equations

Lesson n.22: Second order linear differential equations

Lesson n.23: Second order inhomogeneous differential equations

Lesson n.24: Higher order differential equations

Lesson n.25: Systems of differential equations

Lesson n.26: Course overview

Lesson n.27: Using complex number

Lesson n.28: Holomorphic functions

Lesson n.29: The Cauchy Riemann equations

Lesson n.30: Power series

Lesson n.31: Contour integration

Lesson n.32: Cauchy's theorem

Lesson n.33: Cauchy's integral formula

Lesson n.34: Laurent series

Lesson n.35: Residues and boundaries

Lesson n.36: Singularities and integrals

Lesson n.37: Polynomials and definite integrals

Lesson n.38: Further integration tecnique

Lesson n.39: Laplace transforms

Lesson n.40: Transforms calculus

Lesson n.41: The inverse Laplace transforms

Lesson n.42: The theory of distributions

Lesson n.43: Working with distributions

Lesson n.44: Convolution of function

Lesson n.45: The Fourier transform

Lesson n.46: Fourier inversion

Lesson n.47: Fourier transforms of distributions

Lesson n.48: Back to Laplace transforms

Lesson n.49: Derivatives, series and integrals

Lesson n.50: A final application