Master Course Outline
MATH& 254
Calculus IV

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

Description
MATH& 254 is the fourth in a sequence of four calculus courses for students who are planning to major in engineering, mathematics, or the sciences. Graphical analysis of concepts is emphasized through the use of technology. Prerequisite: Grade of C or higher in MATH& 153, satisfactory placement, or permission of the Mathematics Department. Formerly MATH 224, Calculus & Analytical Geometry IV. 
Intended Learning Outcomes
Use vectorvalued functions to analyze the position, velocity, acceleration, and distance traveled of an object in motion.
Represent, graph, and analyze surfaces in rectangular, cylindrical, and spherical coordinates.
Analyze functions of two or more variables. Determine the domain, calculate limits, assess continuity, graph, evaluate partial and directional derivatives, find and interpret the gradient, and determine extrema.
Set up, evaluate, and interpret double integrals in rectangular and polar coordinates and triple integrals in rectangular, cylindrical, and spherical coordinates.
Set up, evaluate, and interpret line and surface integrals.
Interpret the graphical, numeric, and algebraic forms of a vector field. Find the flux, curl, and divergence where relevant. Determine whether a vector field is conservative and, if so, find the potential function.
Apply Green's Theorem, Stoke's Theorem, and the Divergence Theorem.
Access and use technology including a computer algebra system.
Communicate mathematics using relevant vocabulary and notation.


Syllabi Listing See ALL Quarters
Course 
Year Quarter 
Item 
Instructor 

MATH& 254 
Fall 2016 
7171 
Julianne Sachs 

MATH& 254 
Fall 2015 
7171 
Julianne Sachs 

MATH& 254 
Fall 2014 
1488 
Megan Schoessler 

MATH& 254 
Fall 2013 
1488 
Julianne Sachs 

MATH& 254 
Fall 2011 
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.
