MA311 – Calculus III
Professor's Assistant (PED-C), University of Campinas, Institute of Mathematics, Statistics and Scientific Computing, 2016
Course Information - Class J
- Course: MA311 – Calculus III
- Role: Professor’s Assistant (PED-C)
- Professor: Juliana Marta Rodrigues de Souza
- Course Website: disciplinas.ime.unicamp.br/ma311
Role
I served as a Professor’s Assistant (PED-C) for this course. My work included leading weekly problem-solving sessions, assisting with grading, and holding student support hours outside regular class time.
At Unicamp, PED (Programa de Estágio Docente) is a graduate teaching internship program through which graduate students support undergraduate instruction under faculty supervision.
Course Overview
This course introduces core methods for solving differential equations that arise naturally in mathematics, physics, and engineering. The course covers ordinary differential equations, Laplace transforms, first-order systems, numerical and functional series, partial differential equations, and Fourier series.
Syllabus
Numerical series and series of functions. Ordinary differential equations. Laplace transforms. Systems of first-order equations. Partial differential equations and Fourier series.
References
- Boyce, W. E.; DiPrima, R. C. Elementary Differential Equations and Boundary Value Problems. 9th ed. LTC, 2010.
- Stewart, J. Cálculo. Vol. 2. 5th ed. Thompson Learning, 2001.
- Apostol, T. M. Calculus. Vols. I and II. 2nd ed. John Wiley & Sons, 1976.
- Zill, D. G. Equações Diferenciais com Aplicações em Modelagem. Cengage Learning, 2011.
- Edwards Jr., C. H.; Penney, D. E. Equações Diferenciais Elementares com Problemas de Contorno. 3rd ed. LTC, 1995.
My Contributions
My main contributions to the course included:
- leading two hours of problem-solving sessions per week under the supervision of the course professor;
- assisting with grading;
- holding two one-hour student support sessions each week outside regular class time.
Lecture Notes
The following lecture notes were prepared for the problem-solving sessions I taught in this course: