MTH 143: Calculus III
Note: If this course is being taught this semester, more information can be found at the course home page.
Cross Listed
(none)
Prerequisites
This course is a prerequisite or corequisite for
Nearly all math courses require the first year calculus sequence or equivalent (MTH 141  143, MTH 161  162, or MTH 171  172). Two years of calculus are required to major in mathematics. Most science courses require between one and two years of calculus. See Comparing the Calculus Sequences.
Description

A continuation of MTH 142. Introduces the techniques of the calculus with parametric curves and polar coordiantes. Sequences and series are covered extensively.

Reinforces algebraic manipulation and trig techniques learned in high school.

Provides tools for use in other disciplines, although most examples come from geometry, graphs and the simple physics of motion.

Rigorous proofs, providing guarantees that the techniques always work if certain criteria are met, are left to later courses in analysis such as MTH 265.
Topics covered
Calculus with parametic curves and polar coordinates. Sequences, series, tests for convergence including comparison tests, integral test, alternating series test, ratio test, root test. Taylor and Maclaurin series.
Related courses
See Comparing the Calculus Sequences.