MATH& 254 - Calculus IV

Credits: 5
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.
Course Outcomes:

Use vector-valued 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.

LEC Credits: 5
LEC hours per week: 5
Formerly: MATH 224.
Prerequisite(s): A grade of C- or higher in MATH& 153, satisfactory placement, or permission of the Math Department.
Course Attribute(s): Natural Science, Quantitative Skills/Reasoning, Transferable Elective
OEE Permitted: No
Grading Basis: Graded
Instructor/Department Consent Required: No Consent
CIP Code: 27.0103
Default Section Size/Cap: 28