MTH 253 - Calculus III - Infinite Series

5 Credit(s)

Prerequisite(s):

MTH 252

Course Description: The third course in the calculus sequence for science, mathematics, and engineering students. Includes infinite series, conic sections, plane curves, parametric equations, polar coordinates, vectors, and vector-valued functions.

Course Learning Outcomes:

CLO#1: Demonstrate the use of an infinite polynomial series to model exponential, trigonometric, and logarithmic functions. (ILO: Quantitative Literacy & Reasoning)
CLO#2: Demonstrate the ability to use divergence, integral, comparison, alternating series, ratio, and root tests to determine convergence of an infinite sequence.
CLO#3: Model functions with parametric and polar equations and find areas and rates of change. (ILO: Quantitative Literacy & Reasoning)
CLO#4: Model forces and motion in 3D with vectors, dot products, and cross products.
CLO#5: Demonstrate a familiarity with modeling motion in 3D with vector-valued functions.

Typical Required and Recommended Equipment and Materials: Graphing calculator.

ACTI Code and Course Type
100 Lower Division Collegiate

Length of Course:
LECTURE PORTION: A required state minimum of (40) and a standard RCC delivery of (44) lecture hours per term, not to exceed (48) hours per term. LECTURE/LAB PORTION: A required state minimum of (20) and a standard RCC delivery of (22) lecture/lab hours per term, not to exceed (24) hours per term.