Complex numbers and functions: Complex number—addition, multiplication, subtraction, division, complex plane, polar form of complex numbers, power and roots: Complex function-limits, derivatives; Cauchy-Riemann equations; Laplace’s equation; Harmonic functions and conjugate harmonic function; Exponential functions, Trigonometric functions, hyperbolic functions, logarithm and general power; Complex integration: Line integral in the complex plane, bounded for absolute value on integral, Cauchy integral theorem, Cauchy Integral formula: Derivatives of analytic functions; Power series: Sequences, series, tests for convergence and divergence of series; Convergence behavior of power series, radius of convergence of a power series, Taylor series and McLaurin series; Laurent series and residue integration; singularities and zeros, residue integration
- LECTURER: Ebenezer Appiagyei
- LECTURER: Ebenezer Bonyah