AMS 261 — Applied Calculus III
Multivariable calculus — partial derivatives, multiple integrals, vector calculus, and Green/Stokes/Gauss theorems.
Instructor: Prof. Tan H. Cao
Term: Fall
Location: SUNY Korea
🔗 Official course page (Stony Brook AMS): AMS 261 — Applied Calculus III
Course overview
Multivariable calculus for science and engineering students. Covers differential and integral calculus in $\mathbb{R}^2$ and $\mathbb{R}^3$ with emphasis on vector calculus.
Main topics
- Vector algebra and geometry in space
- Partial derivatives, gradients, optimization with Lagrange multipliers
- Multiple integrals; change of variables (polar, cylindrical, spherical)
- Vector fields and line integrals
- Surface integrals; Green’s, Stokes’, and Gauss’s theorems
Prerequisites
AMS 161 (Applied Calculus II) or equivalent.