MA211 – Calculus II
Professor's Assistant (PED-B), University of Campinas, Institute of Mathematics, Statistics and Scientific Computing, 2017
Course Information - Classes 4 and W
- Course: MA211 – Calculus II
- Role: Professor’s Assistant (PED-B)
- Professor: João Batista Florindo
- Course Website: disciplinas.ime.unicamp.br/ma211
Role
I served as a Professor’s Assistant (PED-B) 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 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
- Stewart, J. Cálculo. Vol. 2. 5th, 6th, or 7th ed. Pioneira / Thomson Learning, São Paulo.
- Guidorizzi, H. L. Um Curso de Cálculo. Vol. 3. 5th ed. LTC, 2002.
- Leithold, L. O Cálculo com Geometria Analítica. Vol. 2. 3rd ed. Harbra, 1994.
- Edwards Jr., C. H.; Penney, D. E. Cálculo com Geometria Analítica. Vols. 2 and 3. Prentice Hall do Brasil, 1997.
- Apostol, T. Cálculo. Vol. 2. 2nd ed. Reverté, 1981.
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: