Description: Vector algebra in two and three dimensions, multivariate differential and integral calculus, optimization, vector calculus including the theorems of Green, Gauss, and Stokes. Applications to economics, engineering, and all sciences, with emphasis on numerical and graphical solutions; use of graphing calculators or computers. May not be taken for credit in addition to AMS 261 or MAT 205.

Prerequisite: C or higher in MAT 127 or 132 or 142 or AMS 161 or level 9 on the mathematics placement examination

SBC: STEM+

Vectors in Plane and in Space

Dot Product and Cross Product

Lines, Planes, and Surfaces in Space

Vector-valued Functions, Differentiation and Integration

Velocity and Acceleration

Tangent and Normal Vectors

Arc Length

Limits and Continuity of Functions of Several Variables

Parital Derivatives

Differentials

Chain Rule

Directional Derivatives and Gradient

Extrema of Functions of Several Variables

Lagrange Multipliers

Iterated Integrals

Double and Triple Integrapls

Areas, Volumes, and Center of Mass

Polar, Cylindrical, and Spherical Coordinates

Vector Fields and Line Integrals

Green and Stokes Theorems

Fall 2024 - Lecture 02
Summer II 2024 - Lecture 02
Spring 2024 - Lecture 02
Spring 2024 - Lecture 01
Fall 2023
Spring 2023 - Lecture 02
Spring 2023 - Lecture 01
Spring 2022 - Lecture 02
Spring 2022 - Lecture 01
Fall 2021 - Lecture 02
Summer II 2021
Summer I 2021
Fall 2020 - Lecture 02
Fall 2020 - Lecture 01
Summer II 2020
Summer I 2020
Spring 2020 - Lecture 02
Fall 2019 - Lecture 02
Spring 2019 - Lecture 02
Spring 2019 - Lecture 01
Fall 2018 - Lecture 02
Fall 2018 - Lecture 01
Summer II 2018
Spring 2018 - Lecture 01
Fall 2017 - Lecture 01
Summer II 2017
Spring 2017
Fall 2016 - Lecture 01
Summer I 2016
Spring 2016
Fall 2015 - Lecture 01
Fall 2014 - Lecture 02
Fall 2014 - Lecture 01
Spring 2014
Fall 2013
Fall 2011
Fall 2010
Fall 2009
Spring 2009
Spring 2008
Fall 2007
Spring 2006
Fall 2004