MATH 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

MATH 142

This course is a prerequisite or co-requisite for

Nearly all math courses require the first year calculus sequence or equivalent (MATH 141 - 143, MATH 161 - 162, or MATH 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 MATH 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 MATH 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.

See Comparing the Calculus Sequences.