MATE-2210 Complex Variable Calculus (Engineering)

COMPLEX NUMBERS: Basic concepts and representations. ANALYTICAL FUNCTIONS: Cauchy-Riemann Equations, Harmonic Functions. ELEMENTARY COMPLEX FUNCTIONS: exponential, trigonometric, hyperbolic and logarithmic. Transformations with exponential functions. COMPLEX INTEGRATION: Path integrals, Cauchy-Goursat’s Theorem, Cauchy’s integral formula. SUCCESSIONS AND SERIES: Convergence, Taylor’s and Laurent’s Series. remainders: The Cauchy remainder theorem. APPLICATIONS OF REMAINDERS: Calculus of improper integrals, improper integrals in Fourier analysis, Jordan’s lemma.




Lopez Garcia Jose