MA211 – Calculus II

Course Information - Class

• Course: MA211 – Calculus II
• Role: Class Monitor (PAD)
• Professor: Márcia Assumpção Guimarães Scialom
• Course Website: disciplinas.ime.unicamp.br/ma211

Role

I served as a Class Monitor (PAD) for this course. My work focused on supporting students outside regular class hours and preparing supplementary course materials.

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 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:

• holding two weekly student support sessions outside regular class hours;
• preparing exercise lists and corresponding solutions.

Materials

The following material was prepared as part of my work for the course:

• Solved Exercise List