EB201 – Calculus II
Professor's Assistant (PED-B), University of Campinas, Institute of Biology, 2021
Course Information - Class A
- Course: EB201 – Calculus II
- Role: Professor’s Assistant (PED-B)
- Professor: Roberta Regina Delboni
Role
I served as a Professor’s Assistant (PED-B) for this course. My work included leading weekly problem-solving sessions, holding student support hours outside regular class time, and assisting with grading.
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 provides an introduction to multivariable calculus. It covers partial derivatives, the vector form of the chain rule, applications of multiple integrals, scalar and vector line integrals, and the theorems of Green, Stokes, and Gauss.
Syllabus
Functions of several real variables. Taylor’s formula. Maxima and minima. Multiple integrals. Line integrals. Divergence theorem. Stokes’ theorem.
References
- Gonçalves, M. B.; Flemming, D. M. Cálculo B. Pearson Prentice Hall, São Paulo, 2007.
- Lang, S. Calculus of Several Variables. Springer Verlag, 1987.
- Leithold, L. Cálculo com Geometria Analítica. Vol. II. Harbra, São Paulo, 1994.
- Swokowski, E. W. Cálculo com Geometria Analítica. Vol. II. McGraw-Hill, São Paulo, 1983.
- Thomas, G. B. Cálculo. Vol. II. Pearson Addison Wesley, São Paulo, 2004.
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;
- holding one two-hour student support session each week outside regular class time;
- assisting with grading.
Lecture Notes
The following lecture notes were prepared for the problem-solving sessions I taught in this course: