Master Course Outline
MATH& 254
Calculus IV

Credits: 5 
Clock Hours per Quarter: 50
Lecture Hours:50

Description
Introduction to multivariable calculus. Topics include vectorvalued functions, partial derivatives, directional derivatives, multiple integration, vector analysis, line and surface integrals, Green's and Stokes' theorems. Prerequisite: Grade C or higher in MATH& 153 or permission of the Mathematics Department. Formerly MATH 224, Calculus & Analytical Geometry IV. 
Intended Learning Outcomes
Work with two and threedimensional vectors algebraically and geometrically: magnitudes, directions, dot products, vector products.
Graph, analyze, and perform calculus operations on two and threedimensional parametric functionis of a single variable.
Graph, analyze, and perform calculus operations on two and threedimensional vectorvalued functions of a single variable. Understand the connections between vectors representing position, velocity, and acceleration.
Analyze completely, and be able to read, generate, and interpret graphs for functions of two or more variables: surface plots, contour plots, evaluate partial derivatives, find extremums, evaluate directional derivatives, and gradients.
Setup and evaluate multiple integrals over generalized domains of integration described in rectangular, polar coordinates, cylindrical, and spherical coordinates.
Setup, evaluate and interpret line integrals and surfact integrals.
Green's Theorem, the Divergence Theorem, and Stoke's Theorem.


Syllabi Listing See ALL Quarters
Course 
Year Quarter 
Item 
Instructor 

MATH& 254 
Fall 2013 
1488 
Julianne Sachs 

MATH& 254 
Fall 2011 
1477 
Eric Schulz 

MATH& 254 
Fall 2010 
1477 
Julianne Sachs 

MATH& 254 
Fall 2009 
1477 
Eric Schulz 


Two Year Projected Schedule
Year One* 
Year Two** 
Fall 
Winter 
Spring 
Summer 
Mini 
Fall 
Winter 
Spring 
Summer 
Mini 
X





X






*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.
