Please help Mathematics decide which one of these three courses to offer in Fall 09. It could be Complex Analysis, Calculus 4, or a new course, Complex Variables and Fractals. Sign up sheets will be circulating in many math classes, or send an email to email@example.com stating your preferences. (You may also add comments, such as which of them you would not take or any non-math courses they should not conflict with.)
Calculus IV (3)
Fourth semester covering differential and integral calculus. Emphasizes line and surface integral theorems, sequences, and series. Prerequisite: Calculus III.
Complex Analysis (3)
Complex differentiability, Cauchy-Riemann differential equations, contour integration, residue calculus, harmonic functions, and geometric properties of complex mappings. Prerequisite: Calculus II.
Complex Variables and Fractals (3)
An introduction to complex numbers, complex functions of one variable, transformations, iterations, Newton's method and fractals. An introduction to mathematical software that will be used to generate fractal images. Prerequisite: Calculus II.