# Applied Science and Applied Mathematics

Undergraduates are required to take APMA E2000 instead of MATH UN1201 and UN1202 for major programs in the four-year course of study in the School of Engineering and Applied Science. Students in the Class of 2018, 2019, and 2020 are allowed to count MATH UN1201 and UN1202 instead of APMA E2000. Students in the Class of 2021 and beyond must participate in APMA E2000 to satisfy a portion of their basic mathematics and degree requirements.

**APMA E2000x and y Multivariable calculus for engineers and applied scientists**

*4 pts. Lect: 3. Professor Youngren. *

Differential and integral calculus of multiple variables. Topics include: partial differentiation; optimization of functions of several variables; line, area, volume and surface integrals; vector functions and vector calculus; theorems of Green, Gauss and Stokes; applications to selected problems in engineering and applied science. Offered through Columbia Engineering.