Syllabus  MA301
MA301 Advanced Calculus (part one)

Taylor series

Double integrals, change of variables, Jacobians

Fourier series:
as an inner product, Fourier series of simple functions.and Fourier series
of simple functions

Line integrals, Green's Theorem
MA302 Calculus (part two)

Complex functions, the CauchyRiemann equations, standard complex functions

Linear functions, linear fractional transformations

Complex integration: Cauchy's Integral Theorem, Taylor and Laurent expansions,
residues, the Residue Theorem and applications
Texts

S.L. Salas, E. Hille & J.T. Anderson, "Calculus, One and Several Variables"
(Wiley)
References

J.B. Fraleigh, "Calculus and Analytic Geometry" (Addison Wesley)

M. Spiegel, "Advanced Calculus" (Schaum Outlines)
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