Ralihe R. Villagrán

Ralihe R. Villagrán

Postdoctoral Scholar (Mathematical Sciences Department)

Teaching

Current course(s)

Calculus IV (group 5)

Undergraduate course, Worcester Polytechnic Institute, Department of Mathematical Sciences, 2026

Course description:

This course provides an introduction to multivariable calculus. Topics covered include: vector functions, partial derivatives and gradient, multivariable optimization, double and triple integrals, polar coordinates, other coordinate systems and applications.

Previous Courses

 CourseInstitution
Spring D term 2026MA 1024 - Calculus IVWorcester Polytechnic Institute
Spring C term 2026MA 2051 - Ordinary Differential EquationsWorcester Polytechnic Institute
Fall B term 2025MA 2071 - Matrices and Linear Algebra IWorcester Polytechnic Institute
Fall A term 2025MA 1023 - Calculus IIIWorcester Polytechnic Institute
Spring C term 2025MA 1023 - Calculus III (two groups)Worcester Polytechnic Institute
Fall B term 2024MA 2071 - Matrices and Linear Algebra IWorcester Polytechnic Institute
Fall A term 2024MA 1022 - Calculus IIWorcester Polytechnic Institute
Spring C term 2024MA 1023 - Calculus III (two groups)Worcester Polytechnic Institute
Fall B term 2023MA 1022 - Calculus IIWorcester Polytechnic Institute
Fall A term 2023MA 1022 - Calculus IIWorcester Polytechnic Institute