# MAT 203

**Title: **Calculus III with Applications

**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+

**Credits: **4

**Textbook:**

- Multivariable Calculus, by Larson and Edwards (10th edition)

**Major Topics Covered: **

- 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

Undergraduate Bulletin Course Information

**Course Webpages: **

- Fall 2017 - Lecture 1
- Spring 2017
- Fall 2016 - Lecture 2
- Fall 2016 - Lecture 1
- Summer I 2016
- Spring 2016
- Fall 2015 - Lecture 2
- Fall 2015 - Lecture 1
- Fall 2014 - Lecture 2
- Fall 2014 - Lecture 1
- Spring 2014
- Fall 2013
- Fall 2011
- Fall 2010
- Fall 2009
- Spring 2009
- Spring 2008
- Fall 2007
- Spring 2006
- Fall 2004