MA044 – Mathematics IV
Class Monitor (PAD), University of Campinas, Institute of Mathematics, Statistics and Scientific Computing, 2014
Course Information - Class XZ
- Course: MA044 – Mathematics IV
- Role: Class Monitor (PAD)
- Professor: Nelson José Rodrigues Faustino
- Course Website: ma044xz.wordpress.com
Role
I served as a Class Monitor (PAD) for this course. My work focused on supporting students outside regular class hours, assisting with the preparation of problem sets, and producing solution keys for graded assignments.
At Unicamp, PAD (Programa de Apoio Didático) is an undergraduate teaching support program in which students assist course activities under the supervision of the course professor.
Course Overview
This course covers the fundamentals of complex analysis, beginning with complex numbers and elementary complex functions and progressing to analytic functions, complex integration, power series, residues, and conformal mappings. The course emphasizes both the theoretical structure of the subject and the techniques used in problem solving.
Syllabus
Complex numbers. Functions of a complex variable. Cauchy-Riemann equations. Line integrals. Sequences and series of complex numbers. Power series. Residue theorem. Conformal mappings.
References
- Brown, J. W.; Churchill, R. V. Complex Variables and Applications. 8th ed. McGraw-Hill, 2009.
- Ahlfors, L. Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable. 3rd ed. McGraw-Hill, 1979.
- Spiegel, M. R. Variáveis Complexas com uma Introdução às Transformações Conformes e Suas Aplicações. Coleção Schaum. McGraw-Hill do Brasil, 1973.
- Hönig, C. S. Introdução às Funções de uma Variável Complexa. 4th ed. Guanabara Dois, 1981.
My Contributions
My main contributions to the course included:
- holding two weekly extra-class support sessions;
- assisting in the preparation of problem sets;
- writing solution keys for graded exercise sets.
Materials
The following materials were prepared as part of my work for the course: